Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5401	Find the Derivative - d/d@VAR	f(x)=e^(2x)sin(4x)	$f (x) = e^{2 x} \sin (4 x)$
5402	Evaluate the Integral	integral of 9x^2 with respect to x	$\int 9 x^{2} d x$
5403	Find the 4th Derivative	f(x)=2x^3-4x^4	$f (x) = 2 x^{3} - 4 x^{4}$
5404	Evaluate	arccos(0)	$\arccos (0)$
5405	Find the Inflection Points	f(x)=8x^3+2x+6	$f (x) = 8 x^{3} + 2 x + 6$
5406	Find the 2nd Derivative	s(t)=5t^2+15t	$s (t) = 5 t^{2} + 15 t$
5407	Find the 2nd Derivative	y=e^(ax)sin(Bx)	$y = e^{a x} \sin (B x)$
5408	Find the 2nd Derivative	y=e^(-x)+e^x	$y = e^{- x} + e^{x}$
5409	Find the 2nd Derivative	y=cos(3x)	$y = \cos (3 x)$
5410	Find the 2nd Derivative	y=sec(x)	$y = \sec (x)$
5411	Find the 2nd Derivative	y=0	$y = 0$
5412	Find the 2nd Derivative	y=x^2 natural log of 5x	$y = x^{2} \ln (5 x)$
5413	Find the 2nd Derivative	f(x)=x square root of 4-x^2	$f (x) = x \sqrt{4 - x^{2}}$
5414	Find the 2nd Derivative	f(x)=3x^4-4x^3	$f (x) = 3 x^{4} - 4 x^{3}$
5415	Find the 2nd Derivative	y=(7x^2-1)(2x^3+x)	$y = (7 x^{2} - 1) (2 x^{3} + x)$
5416	Find the 2nd Derivative	f(x)=x^3	$f (x) = x^{3}$
5417	Find the 2nd Derivative	f(x)=2xe^(3x)	$f (x) = 2 x e^{3 x}$
5418	Find the 2nd Derivative	f(x)=xe^x	$f (x) = x e^{x}$
5419	Find the 2nd Derivative	4xy	$4 x y$
5420	Find the 2nd Derivative	f(x)=(x^2+1)^7	$f (x) = {(x^{2} + 1)}^{7}$
5421	Find the 2nd Derivative	f(x)=(x^2+1)^9	$f (x) = {(x^{2} + 1)}^{9}$
5422	Find the 2nd Derivative	f(x)=2/x	$f (x) = \frac{2}{x}$
5423	Find the 2nd Derivative	f(x)=24/(x^2+12)	$f (x) = \frac{24}{x^{2} + 12}$
5424	Evaluate the Integral	integral of 1-csc(t)cot(t) with respect to t	$\int 1 - \csc (t) \cot (t) d t$
5425	Evaluate the Integral	integral of 20x+7 with respect to x	$\int 20 x + 7 d x$
5426	Evaluate the Integral	integral of 16x+3 with respect to x	$\int 16 x + 3 d x$
5427	Evaluate the Integral	integral of 16 cube root of x^5-16/( cube root of x^5) with respect to x	$\int 16 \sqrt[3]{x^{5}} - \frac{16}{\sqrt[3]{x^{5}}} d x$
5428	Evaluate the Integral	integral of 13-x with respect to x	$\int 13 - x d x$
5429	Evaluate the Integral	integral of 10x+8 with respect to x	$\int 10 x + 8 d x$
5430	Evaluate the Integral	integral of 11x^10-10/(x^10) with respect to x	$\int 11 x^{10} - \frac{10}{x^{10}} d x$
5431	Evaluate the Integral	integral of -9x^2+10x with respect to x	$\int - 9 x^{2} + 10 x d x$
5432	Evaluate the Integral	integral of 8x^2+1 with respect to x	$\int 8 x^{2} + 1 d x$
5433	Evaluate the Integral	integral of 7x^6-6/(x^6) with respect to x	$\int 7 x^{6} - \frac{6}{x^{6}} d x$
5434	Evaluate the Integral	integral of 4x+9 with respect to x	$\int 4 x + 9 d x$
5435	Evaluate the Integral	integral of (4x-12)(x^2-6x+19)^(3/2) with respect to x	$\int (4 x - 12) {(x^{2} - 6 x + 19)}^{\frac{3}{2}} d x$
5436	Evaluate the Integral	integral of 3x-2 with respect to x	$\int 3 x - 2 d x$
5437	Evaluate the Integral	integral of 5x-1 with respect to x	$\int 5 x - 1 d x$
5438	Evaluate the Integral	integral of 1/(x^5)-x^5-1/4 with respect to x	$\int \frac{1}{x^{5}} - x^{5} - \frac{1}{4} d x$
5439	Evaluate the Integral	integral of fourth root of x^3+1 with respect to x	$\int \sqrt[4]{x^{3}} + 1 d x$
5440	Evaluate the Integral	integral of x^3-4x with respect to x	$\int x^{3} - 4 x d x$
5441	Evaluate the Integral	integral of (1+1/t)^3(1/(t^2)) with respect to t	$\int {(1 + \frac{1}{t})}^{3} (\frac{1}{t^{2}}) d t$
5442	Evaluate the Integral	integral of (2x+3)^10 with respect to x	$\int {(2 x + 3)}^{10} d x$
5443	Evaluate the Integral	integral of (x-1)e^(x^2-2x) with respect to x	$\int (x - 1) e^{x^{2} - 2 x} d x$
5444	Evaluate the Integral	integral of (x+1)(x^2+2x+5)^12 with respect to x	$\int (x + 1) {(x^{2} + 2 x + 5)}^{12} d x$
5445	Evaluate the Integral	integral of sin(2x)+cos(3x) with respect to x	$\int \sin (2 x) + \cos (3 x) d x$
5446	Evaluate the Integral	integral of (e^x+1)^2 with respect to x	$\int {(e^{x} + 1)}^{2} d x$
5447	Evaluate the Integral	integral of (a^(2/3)-x^(2/3))^3 with respect to x	$\int {(a^{\frac{2}{3}} - x^{\frac{2}{3}})}^{3} d x$
5448	Evaluate the Integral	integral of (x^2+5)^3 with respect to x	$\int {(x^{2} + 5)}^{3} d x$
5449	Evaluate the Integral	integral of (x^2-1)^5(2x) with respect to x	$\int {(x^{2} - 1)}^{5} (2 x) d x$
5450	Evaluate the Integral	integral of (csc(x)^2)/(cot(x)^3) with respect to x	$\int \frac{\csc^{2} (x)}{\cot^{3} (x)} d x$
5451	Evaluate the Integral	integral of (csc(t)^2)/(cot(t)) with respect to t	$\int \frac{\csc^{2} (t)}{\cot (t)} d t$
5452	Evaluate the Integral	integral of (e^(1/t))/(t^2) with respect to t	$\int \frac{e^{\frac{1}{t}}}{t^{2}} d t$
5453	Evaluate the Integral	integral of (cos(x)^3)/(sin(x)^4) with respect to x	$\int \frac{\cos^{3} (x)}{\sin^{4} (x)} d x$
5454	Evaluate the Integral	integral of ((x-1)^2)/x with respect to x	$\int \frac{{(x - 1)}^{2}}{x} d x$
5455	Evaluate the Integral	integral of (sec( square root of x)^2)/( square root of x) with respect to x	$\int \frac{\sec^{2} (\sqrt{x})}{\sqrt{x}} d x$
5456	Evaluate the Integral	integral of (e^x-e^(-x))/((e^x+e^(-x))^(7/2)) with respect to x	$\int \frac{e^{x} - e^{- x}}{{(e^{x} + e^{- x})}^{\frac{7}{2}}} d x$
5457	Find the Linearization at a=π/6	f(x)=sin(x) , a=pi/6	$\int \frac{e^{2 x}}{4 + e^{4 x}} d x$
5458	Evaluate the Integral	integral of (6t-7)^-2 with respect to t	$\int {(6 t - 7)}^{- 2} d t$
5459	Evaluate the Integral	integral of (3x-5)^3 with respect to x	$\int {(3 x - 5)}^{3} d x$
5460	Evaluate the Integral	integral of (3x-2)^4 with respect to x	$\int {(3 x - 2)}^{4} d x$
5461	Evaluate the Integral	integral of (4x+1)^2 with respect to x	$\int {(4 x + 1)}^{2} d x$
5462	Evaluate the Integral	integral of (4x-3)^9 with respect to x	$\int {(4 x - 3)}^{9} d x$
5463	Evaluate the Integral	integral of (4x-1)^2 with respect to x	$\int {(4 x - 1)}^{2} d x$
5464	Evaluate the Integral	integral of ( natural log of 4x)^2 with respect to x	$\int \ln^{2} (4 x) d x$
5465	Evaluate the Integral	integral of (tan(2x)+cot(2x))^2 with respect to x	$\int {(\tan (2 x) + \cot (2 x))}^{2} d x$
5466	Evaluate the Integral	integral of (x+2)^2 with respect to x	$\int {(x + 2)}^{2} d x$
5467	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of (1+3/x)^x	$lim_{x \to 8} {(1 + \frac{3}{x})}^{x}$
5468	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of (1+a/x)^(bx)	$lim_{x \to 8} {(1 + \frac{a}{x})}^{b x}$
5469	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(x^2))/x	$lim_{x \to 0} \frac{\sin (x^{2})}{x}$
5470	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of ( square root of x+5- square root of 5)/x	$lim_{x \to 0} \frac{\sqrt{x + 5} - \sqrt{5}}{x}$
5471	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of ( natural log of x)/(x-1)	$lim_{x \to 1} \frac{\ln (x)}{x - 1}$
5472	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of xcot(x)	$lim_{x \to 0} x \cot (x)$
5473	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (x^2+4x-5)/(x^2-1)	$lim_{x \to 1} \frac{x^{2} + 4 x - 5}{x^{2} - 1}$
5474	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of cos(x)	$lim_{x \to 8} \cos (x)$
5475	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of csc(x)-cot(x)	$lim_{x \to 0} \csc (x) - \cot (x)$
5476	Evaluate Using L'Hospital's Rule	( limit as x approaches 5 from the left of 7x^2-1)/(x^2-25)	$\frac{lim_{x \to 5} 7 x^{2} - 1}{x^{2} - 25}$
5477	Evaluate the Summation	sum from k=1 to 6 of 5k	$\sum_{k = 1}^{6} 5 k$
5478	Evaluate the Summation	sum from k=1 to 6 of 6k	$\sum_{k = 1}^{6} 6 k$
5479	Evaluate the Summation	sum from k=1 to 4 of (-3/4)^k	$\sum_{k = 1}^{4} {(- \frac{3}{4})}^{k}$
5480	Evaluate the Summation	sum from k=5 to 10 of -5k	$\sum_{k = 5}^{10} - 5 k$
5481	Evaluate the Summation	sum from n=3 to 12 of -5n-1	$\sum_{n = 3}^{12} - 5 n - 1$
5482	Evaluate the Summation	sum from i=1 to 24 of 2i	$\sum_{i = 1}^{24} 2 i$
5483	Evaluate the Summation	sum from i=1 to 6 of 2i+9	$\sum_{i = 1}^{6} 2 i + 9$
5484	Evaluate the Summation	sum from i=1 to 8 of 2^i	$\sum_{i = 1}^{8} 2^{i}$
5485	Evaluate the Summation	sum from k=1 to 4 of (k+8)^2	$\sum_{k = 1}^{4} {(k + 8)}^{2}$
5486	Find the 2nd Derivative	180-0.90A^2	$180 - 0.9 A^{2}$
5487	Find the 2nd Derivative	x^4-6x^2	$x^{4} - 6 x^{2}$
5488	Find the 2nd Derivative	e^7	$e^{7}$
5489	Find the 2nd Derivative	e^(-2x)	$e^{- 2 x}$
5490	Find the 2nd Derivative	e^(3x)cos(2x)	$e^{3 x} \cos (2 x)$
5491	Find the Derivative - d/dZ	sec(x)	$\sec (x)$
5492	Find the Derivative - d/dy	cos(y)	$\cos (y)$
5493	Find the Derivative - d/dX	-ay	$- a y$
5494	Find the Derivative - d/dx	sin(h(x))	$\sinh (x)$
5495	Find the Derivative - d/dx	sec(5x)	$\sec (5 x)$
5496	Find the Derivative - d/dx	px	$p x$
5497	Find the Derivative - d/dx	f(x)sin(x)	$f (x) \sin (x)$
5498	Find the Derivative - d/dx	-5x	$- 5 x$
5499	Find the Derivative - d/dx	arctan(x^2)	$\arctan (x^{2})$
5500	Find the Derivative - d/dx	arcsin(4x+1)	$\arcsin (4 x + 1)$