Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5801	Find the Antiderivative	7/x	$\frac{7}{x}$
5802	Find the Antiderivative	7^x	$7^{x}$
5803	Find the Antiderivative	e^(sin(x))	$e^{\sin (x)}$
5804	Find the Antiderivative	x^5	$x^{5}$
5805	Find the Antiderivative	fourth root of x^3+ cube root of x^4	$\sqrt[4]{x^{3}} + \sqrt[3]{x^{4}}$
5806	Find the Antiderivative	e^(4x)	$e^{4 x}$
5807	Find the Antiderivative	1/(8 square root of x)	$\frac{1}{8 \sqrt{x}}$
5808	Find the Antiderivative	cos(5x)	$\cos (5 x)$
5809	Find the Antiderivative	6x-x^2	$6 x - x^{2}$
5810	Find the Antiderivative	5x^2-9x	$5 x^{2} - 9 x$
5811	Find the Antiderivative	6x^2	$6 x^{2}$
5812	Find the Antiderivative	cos(pix)	$\cos (π x)$
5813	Find the Antiderivative	tan(x)^2	$\tan^{2} (x)$
5814	Find the Antiderivative	3e^x	$3 e^{x}$
5815	Find the Antiderivative	1x	$1 x$
5816	Find the Antiderivative	1-x	$1 - x$
5817	Find the Antiderivative	2x^5	$2 x^{5}$
5818	Find the Antiderivative	4x	$4 x$
5819	Find the Antiderivative	-3x^-4	$- 3 x^{- 4}$
5820	Find the Antiderivative	f(x)=e^(3x)	$f (x) = e^{3 x}$
5821	Find the Antiderivative	f(x)=3/( square root of x)	$f (x) = \frac{3}{\sqrt{x}}$
5822	Find the Antiderivative	f(x)=( natural log of x)/x	$f (x) = \frac{\ln (x)}{x}$
5823	Find the Antiderivative	f(x)=2/(x^3)+9x^5	$f (x) = \frac{2}{x^{3}} + 9 x^{5}$
5824	Find the Antiderivative	f(x)=5/(x^2)	$f (x) = \frac{5}{x^{2}}$
5825	Find the Antiderivative	f(x) = square root of x(6+5x)	$f (x) = \sqrt{x} (6 + 5 x)$
5826	Find the Antiderivative	f(x)=9/( square root of x)	$f (x) = \frac{9}{\sqrt{x}}$
5827	Find the Antiderivative	f(t)=3/( square root of t)	$f (t) = \frac{3}{\sqrt{t}}$
5828	Find the Antiderivative	f(x)=1/2*e^x	$f (x) = \frac{1}{2} \cdot e^{x}$
5829	Find the Antiderivative	5^x	$5^{x}$
5830	Find the Derivative - d/d@VAR	f(x)=0.8x^1.8	$f (x) = 0.8 x^{1.8}$
5831	Find the Antiderivative	f(x)=1/2x^2-2x+5	$f (x) = \frac{1}{2} x^{2} - 2 x + 5$
5832	Find the Antiderivative	g(x)=1/x	$g (x) = \frac{1}{x}$
5833	Find the Antiderivative	-x	$- x$
5834	Find the Antiderivative	f(x)=-cos(x)	$f (x) = - \cos (x)$
5835	Find the Antiderivative	f(x)=9e^x+6sec(x)^2	$f (x) = 9 e^{x} + 6 \sec^{2} (x)$
5836	Find the Antiderivative	f(x)=7x^4-6x^5+5x^2+c	$f (x) = 7 x^{4} - 6 x^{5} + 5 x^{2} + c$
5837	Find the Antiderivative	f(x)=7x^2-5x	$f (x) = 7 x^{2} - 5 x$
5838	Find the Antiderivative	f(x)=8x^2-3x	$f (x) = 8 x^{2} - 3 x$
5839	Find the Antiderivative	f(x)=x(4-x)^2	$f (x) = x {(4 - x)}^{2}$
5840	Find the Antiderivative	f(x)=9x	$f (x) = 9 x$
5841	Find the Antiderivative	f(x)=sin(3x)	$f (x) = \sin (3 x)$
5842	Find the Antiderivative	cos(x)^2	$\cos^{2} (x)$
5843	Find the Antiderivative	f(x)=x+1	$f (x) = x + 1$
5844	Find the Antiderivative	g(t)=(7+t+t^2)/( square root of t)	$g (t) = \frac{7 + t + t^{2}}{\sqrt{t}}$
5845	Find the Antiderivative	f(x)=1-3x^2	$f (x) = 1 - 3 x^{2}$
5846	Find the Antiderivative	f(x)=2x^2-5x	$f (x) = 2 x^{2} - 5 x$
5847	Find the Antiderivative	f(x)=25-x^2	$f (x) = 25 - x^{2}$
5848	Find the Antiderivative	f(x)=3e^x	$f (x) = 3 e^{x}$
5849	Find the Antiderivative	f(x)=5x^(1/4)-7x^(3/4)	$f (x) = 5 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}}$
5850	Find the Antiderivative	f(x)=5x	$f (x) = 5 x$
5851	Find the Antiderivative	f(x)=5x^2-7x	$f (x) = 5 x^{2} - 7 x$
5852	Find the Antiderivative	f(x)=6 square root of x	$f (x) = 6 \sqrt{x}$
5853	Find the Antiderivative	f(x)=6x	$f (x) = 6 x$
5854	Find the Antiderivative	f(x)=7x^2-x	$f (x) = 7 x^{2} - x$
5855	Find the Derivative - d/dx	9	$9$
5856	Evaluate the Limit	limit as x approaches infinity of arctan(e^x)	$lim_{x \to \infty} \arctan (e^{x})$
5857	Find the Difference Quotient	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
5858	Find the Difference Quotient	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
5859	Find the Difference Quotient	f(x)=2/(x-3)	$f (x) = \frac{2}{x - 3}$
5860	Find the Difference Quotient	f(x)=4x-x^2	$f (x) = 4 x - x^{2}$
5861	Find the Difference Quotient	f(x)=-1/x	$f (x) = - \frac{1}{x}$
5862	Find the Difference Quotient	f(x)=(x^2)/2	$f (x) = \frac{x^{2}}{2}$
5863	Find the Roots (Zeros)	f(x)=x^4-8x^2+5	$f (x) = x^{4} - 8 x^{2} + 5$
5864	Find the Antiderivative	x-3	$x - 3$
5865	Find the Roots (Zeros)	f(x)=3sin(x)	$f (x) = 3 \sin (x)$
5866	Find the Roots (Zeros)	f(x) = natural log of x	$f (x) = \ln (x)$
5867	Find the Difference Quotient	f(x)=4x^2	$f (x) = 4 x^{2}$
5868	Find the Difference Quotient	f(x)=-4x^2	$f (x) = - 4 x^{2}$
5869	Find the Difference Quotient	f(x)=4+3x-x^2	$f (x) = 4 + 3 x - x^{2}$
5870	Find the Difference Quotient	f(x)=x^2+3	$f (x) = x^{2} + 3$
5871	Evaluate the Limit	limit as x approaches infinity of ( square root of x^3+x)/(4x^2+6x)	$lim_{x \to \infty} \frac{\sqrt{x^{3}} + x}{4 x^{2} + 6 x}$
5872	Evaluate the Limit	limit as h approaches 0 of (5(x+h)^3-(5x^3))/h	$lim_{h \to 0} \frac{5 {(x + h)}^{3} - (5 x^{3})}{h}$
5873	Evaluate the Limit	limit as h approaches 0 of ((-5+h)^2-25)/h	$lim_{h \to 0} \frac{{(- 5 + h)}^{2} - 25}{h}$
5874	Evaluate the Limit	limit as h approaches 0 of ((-6+h)^2-36)/h	$lim_{h \to 0} \frac{{(- 6 + h)}^{2} - 36}{h}$
5875	Evaluate the Limit	limit as h approaches 0 of ((-7+h)^2-49)/h	$lim_{h \to 0} \frac{{(- 7 + h)}^{2} - 49}{h}$
5876	Evaluate the Limit	limit as h approaches 0 of ((7+h)^2-49)/h	$lim_{h \to 0} \frac{{(7 + h)}^{2} - 49}{h}$
5877	Evaluate the Limit	limit as x approaches 8 of (1+ cube root of x)(2-6x^2+x^3)	$lim_{x \to 8} (1 + \sqrt[3]{x}) (2 - 6 x^{2} + x^{3})$
5878	Evaluate the Limit	limit as h approaches 0 of ((1-cos(h))^2)/h	$lim_{h \to 0} \frac{{(1 - \cos (h))}^{2}}{h}$
5879	Evaluate the Limit	limit as x approaches 9 of (x^2-10x+9)/( square root of x-3)	$lim_{x \to 9} \frac{x^{2} - 10 x + 9}{\sqrt{x} - 3}$
5880	Evaluate the Limit	limit as h approaches 0 of ((8+h)^2-64)/h	$lim_{h \to 0} \frac{{(8 + h)}^{2} - 64}{h}$
5881	Evaluate the Limit	limit as h approaches 0 of h/(sin(3h))	$lim_{h \to 0} \frac{h}{\sin (3 h)}$
5882	Evaluate the Limit	limit as h approaches 0 of (8(0.5+h)^8-8(0.5)^8)/h	$lim_{h \to 0} \frac{8 {(0.5 + h)}^{8} - 8 {(0.5)}^{8}}{h}$
5883	Evaluate the Integral	integral of x^8e^(x^9) with respect to x	$\int x^{8} e^{x^{9}} d x$
5884	Evaluate the Limit	limit as h approaches 0 of h(3+4/h)	$lim_{h \to 0} h (3 + \frac{4}{h})$
5885	Evaluate the Limit	limit as h approaches 6 of (h^3-216)/(h-6)	$lim_{h \to 6} \frac{h^{3} - 216}{h - 6}$
5886	Evaluate the Limit	limit as n approaches 8 of (-1)^n	$lim_{n \to 8} {(- 1)}^{n}$
5887	Evaluate the Limit	limit as x approaches pi/4 of (7-7tan(x))/(sin(x)-cos(x))	$lim_{x \to \frac{π}{4}} \frac{7 - 7 \tan (x)}{\sin (x) - \cos (x)}$
5888	Evaluate the Limit	limit as x approaches pi/4 of sin(x)^2	$lim_{x \to \frac{π}{4}} \sin^{2} (x)$
5889	Evaluate the Limit	limit as x approaches pi/3 of (1-2cos(x))/(pi-3x)	$lim_{x \to \frac{π}{3}} \frac{1 - 2 \cos (x)}{π - 3 x}$
5890	Evaluate the Limit	limit as x approaches pi/2 of 2sec(x)	$lim_{x \to \frac{π}{2}} 2 \sec (x)$
5891	Evaluate the Limit	limit as x approaches pi/2 of 6sec(x)	$lim_{x \to \frac{π}{2}} 6 \sec (x)$
5892	Evaluate the Limit	limit as x approaches pi/2 of cos(x)	$lim_{x \to \frac{π}{2}} \cos (x)$
5893	Evaluate the Limit	limit as x approaches 3 of square root of x+1	$lim_{x \to 3} \sqrt{x + 1}$
5894	Evaluate the Limit	limit as x approaches pi/4 of (tan(x)-1)/(4x-pi)	$lim_{x \to \frac{π}{4}} \frac{\tan (x) - 1}{4 x - π}$
5895	Evaluate the Limit	limit as x approaches pi/6 of x/(sin(3x))	$lim_{x \to \frac{π}{6}} \frac{x}{\sin (3 x)}$
5896	Evaluate	cos(2)(0)	$\cos (2 (0))$
5897	Evaluate the Limit	limit as x approaches 0 of (x^2)/(1-cos(x))	$lim_{x \to 0} \frac{x^{2}}{1 - \cos (x)}$
5898	Evaluate the Limit	limit as theta approaches pi of thetasec(theta)	$lim_{θ \to π} θ \sec (θ)$
5899	Evaluate the Limit	limit as x approaches -1/2 of 1-5x^3	$lim_{x \to - \frac{1}{2}} 1 - 5 x^{3}$
5900	Evaluate the Limit	limit as x approaches -1/2 of 3x^2(2x-1)	$lim_{x \to - \frac{1}{2}} 3 x^{2} (2 x - 1)$