Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1001	Find the Derivative - d/dx	y=((x+9)x)/(x+1)	$y = \frac{(x + 9) x}{x + 1}$
1002	Find the Derivative - d/dx	x^2cos(x)	$x^{2} \cos (x)$
1003	Find the Derivative - d/dx	x^2(1-5x)	$x^{2} (1 - 5 x)$
1004	Find the Derivative - d/dx	4 square root of x+18	$4 \sqrt{x} + 18$
1005	Find the Derivative - d/dx	1+ natural log of x	$1 + \ln (x)$
1006	Find the Derivative - d/dx	(cot(x))/(sin(x))	$\frac{\cot (x)}{\sin (x)}$
1007	Find the Derivative - d/d@VAR	f(x)=x^7	$f (x) = x^{7}$
1008	Evaluate the Integral	integral of e^(-5x) with respect to x	$\int e^{- 5 x} d x$
1009	Find the Derivative - d/d@VAR	f(x)=x^2+x-3	$f (x) = x^{2} + x - 3$
1010	Find the Derivative - d/d@VAR	f(x)=sin(x)	$f (x) = \sin (x)$
1011	Find the Derivative - d/d@VAR	f(x)=x^2-5	$f (x) = x^{2} - 5$
1012	Simplify	( square root of x+h+5- square root of x+5)/h	$\frac{\sqrt{x + h + 5} - \sqrt{x + 5}}{h}$
1013	Find the Integral	1/(2x)	$\frac{1}{2 x}$
1014	Find the Derivative - d/dx	x^2(1-3x)	$x^{2} (1 - 3 x)$
1015	Find the Derivative - d/dy	1/y	$\frac{1}{y}$
1016	Find the Derivative - d/dZ	1/8	$\frac{1}{8}$
1017	Find the Derivative - d/dx	-x+1/x+1	$- x + \frac{1}{x} + 1$
1018	Find the Derivative - d/dx	y=cos(cos(cos(x)))	$y = \cos (\cos (\cos (x)))$
1019	Find the Derivative - d/dx	(3x+1)^2	${(3 x + 1)}^{2}$
1020	Find the Derivative - d/dx	y=(sin(x))/x	$y = \frac{\sin (x)}{x}$
1021	Find the Derivative - d/dx	2x^2-9x+10	$2 x^{2} - 9 x + 10$
1022	Find the Derivative - d/dx	1/2x^2 square root of 25-x^2	$\frac{1}{2} x^{2} \sqrt{25 - x^{2}}$
1023	Find the Derivative - d/dx	f(x)=sin(x^2)	$f (x) = \sin (x^{2})$
1024	Find the Derivative - d/dx	natural log of x+3	$\ln (x + 3)$
1025	Find the Derivative - d/dx	x^12	$x^{12}$
1026	Find the Derivative - d/dx	((x^2-2)^(3/2))/3	$\frac{{(x^{2} - 2)}^{\frac{3}{2}}}{3}$
1027	Find the Derivative - d/dx	8/(x^2+4)	$\frac{8}{x^{2} + 4}$
1028	Find the Derivative - d/dx	f(x)=1	$f (x) = 1$
1029	Find the Derivative - d/dx	f(x)=3	$f (x) = 3$
1030	Evaluate the Integral	integral of cot(x) with respect to x	$\int \cot (x) d x$
1031	Find the Derivative - d/dx	f(x)=e^(x^2)	$f (x) = e^{x^{2}}$
1032	Find the Derivative - d/dx	(sin(x))/(x^2)	$\frac{\sin (x)}{x^{2}}$
1033	Find the Derivative - d/dx	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
1034	Find the Integral	1/( square root of x)	$\frac{1}{\sqrt{x}}$
1035	Find dy/dx	x^2y+xy^2=6	$x^{2} y + x y^{2} = 6$
1036	Find dy/dx	x^3y^3-y=x	$x^{3} y^{3} - y = x$
1037	Find dy/dx	x^3-xy+y^2=4	$x^{3} - x y + y^{2} = 4$
1038	Find dy/dx	1/x+1/y=1	$\frac{1}{x} + \frac{1}{y} = 1$
1039	Find dy/dx	square root of xy=x-2y	$\sqrt{x y} = x - 2 y$
1040	Find the Derivative - d/d@VAR	f(x)=2/x	$f (x) = \frac{2}{x}$
1041	Find dy/dx	xy+x=2	$x y + x = 2$
1042	Find dy/dx	xy=4	$x y = 4$
1043	Find dy/dx	2(x^2+y^2)^2=25(x^2-y^2)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$
1044	Find dy/dx	2x^2-3y^2=4	$2 x^{2} - 3 y^{2} = 4$
1045	Find dy/dx	1-xy=x-y	$1 - x y = x - y$
1046	Find dy/dx	y = square root of x	$y = \sqrt{x}$
1047	Find the Derivative - d/dx	(x+9)(x^2-9)	$(x + 9) (x^{2} - 9)$
1048	Find the Derivative - d/dx	(4x)/(x^2+1)	$\frac{4 x}{x^{2} + 1}$
1049	Find the Derivative - d/dx	2^8*0	$2^{80}$
1050	Find the Derivative - d/dx	7sin(x)	$7 \sin (x)$
1051	Find the Derivative - d/dx	2^9*0	$2^{90}$
1052	Find the Derivative - d/dt	at^2+bt+c	$a t^{2} + b t + c$
1053	Find the 2nd Derivative	e^(x^2)	$e^{x^{2}}$
1054	Find the Derivative - d/dx	[(x^6+x)(x^6-x)]	$[(x^{6} + x) (x^{6} - x)]$
1055	Evaluate the Integral	integral of (-x^8+4)^6x^7 with respect to x	$\int {(- x^{8} + 4)}^{6} x^{7} d x$
1056	Evaluate the Integral	integral of (7x^5+7x^2+14)/(x^3-x) with respect to x	$\int \frac{7 x^{5} + 7 x^{2} + 14}{x^{3} - x} d x$
1057	Find the 2nd Derivative	f(x) = square root of x	$f (x) = \sqrt{x}$
1058	Find the 2nd Derivative	f(x) = square root of x^2+20	$f (x) = \sqrt{x^{2} + 20}$
1059	Find the 2nd Derivative	f(x) = square root of x^2+21	$f (x) = \sqrt{x^{2} + 21}$
1060	Find the 2nd Derivative	f(x) = square root of x^2+12	$f (x) = \sqrt{x^{2} + 12}$
1061	Find the 2nd Derivative	f(x) = square root of x^2+9	$f (x) = \sqrt{x^{2} + 9}$
1062	Evaluate the Integral	integral of natural log of 2x with respect to x	$\int \ln (2 x) d x$
1063	Evaluate the Integral	integral of natural log of (x)^2 with respect to x	$\int \ln ({(x)}^{2}) d x$
1064	Evaluate the Integral	integral of (cos(2x))/(1+sin(2x)) with respect to x	$\int \frac{\cos (2 x)}{1 + \sin (2 x)} d x$
1065	Evaluate the Integral	integral of e^(-t) with respect to t	$\int e^{- t} d t$
1066	Evaluate the Integral	integral of (4x^2)/(x^2+9) with respect to x	$\int \frac{4 x^{2}}{x^{2} + 9} d x$
1067	Evaluate the Integral	integral of sin( natural log of x) with respect to x	$\int \sin (\ln (x)) d x$
1068	Evaluate the Integral	integral of x^9 with respect to x	$\int x^{9} d x$
1069	Evaluate the Integral	integral of 9/( square root of x) with respect to x	$\int \frac{9}{\sqrt{x}} d x$
1070	Evaluate the Integral	integral from 0 to 1 of (x^2+7)e^(-x) with respect to x	$\int_{0}^{1} (x^{2} + 7) e^{- x} d x$
1071	Evaluate the Integral	integral of 3/(x^2) with respect to x	$\int \frac{3}{x^{2}} d x$
1072	Evaluate the Integral	integral of (cos(x))/(sin(x)^2) with respect to x	$\int \frac{\cos (x)}{\sin^{2} (x)} d x$
1073	Evaluate the Integral	integral from -1 to 1 of 1/(1+y^2) with respect to y	$\int_{- 1}^{1} \frac{1}{1 + y^{2}} d y$
1074	Evaluate the Integral	integral from -1 to 1 of (4x^2-1)(x+3) with respect to x	$\int_{- 1}^{1} (4 x^{2} - 1) (x + 3) d x$
1075	Evaluate the Integral	integral of csc(x)^3 with respect to x	$\int \csc^{3} (x) d x$
1076	Evaluate the Integral	integral of (( natural log of x)^2)/(x^3) with respect to x	$\int \frac{\ln^{2} (x)}{x^{3}} d x$
1077	Evaluate the Integral	integral from 1 to 2 of (e^(1/(x^3)))/(x^4) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{3}}}}{x^{4}} d x$
1078	Evaluate the Integral	integral from 0 to 1 of x/((x^2+1)^3) with respect to x	$\int_{0}^{1} \frac{x}{{(x^{2} + 1)}^{3}} d x$
1079	Evaluate the Integral	integral from 0 to 3 of square root of 9-x^2 with respect to x	$\int_{0}^{3} \sqrt{9 - x^{2}} d x$
1080	Evaluate the Integral	integral of 3 square root of x with respect to x	$\int 3 \sqrt{x} d x$
1081	Evaluate the Integral	integral of 4/x with respect to x	$\int \frac{4}{x} d x$
1082	Evaluate the Integral	integral of square root of 6x+5 with respect to x	$\int \sqrt{6 x + 5} d x$
1083	Evaluate the Integral	integral of x^8 natural log of x with respect to x	$\int x^{8} \ln (x) d x$
1084	Evaluate the Integral	integral from 36 to 4 of 9( natural log of y)/( square root of y) with respect to y	$\int_{36}^{49} \frac{\ln (y)}{\sqrt{y}} d y$
1085	Evaluate the Integral	integral of (x+1)/(x^2+2x) with respect to x	$\int \frac{x + 1}{x^{2} + 2 x} d x$
1086	Evaluate the Integral	integral of (x^2+5x)cos(x) with respect to x	$\int (x^{2} + 5 x) \cos (x) d x$
1087	Evaluate the Integral	integral of xcos(x) with respect to x	$\int x \cos (x) d x$
1088	Evaluate the Integral	integral from 0 to 1 of x with respect to x	$\int_{0}^{1} x d x$
1089	Evaluate the Integral	integral of x square root of x^2+4 with respect to x	$\int x \sqrt{x^{2} + 4} d x$
1090	Evaluate the Integral	integral of te^(-7t) with respect to t	$\int t e^{- 7 t} d t$
1091	Evaluate the Integral	integral of te^(-8t) with respect to t	$\int t e^{- 8 t} d t$
1092	Evaluate the Integral	integral from 0 to 8 of e^(-x) with respect to x	$\int_{0}^{8} e^{- x} d x$
1093	Evaluate the Integral	integral of 2e^(5x) with respect to x	$\int 2 e^{5 x} d x$
1094	Evaluate the Integral	integral from 0 to 4 of 4x^2 with respect to x	$\int_{0}^{4} 4 x^{2} d x$
1095	Evaluate the Integral	integral from 0 to 4 of 5x^2 with respect to x	$\int_{0}^{4} 5 x^{2} d x$
1096	Evaluate the Integral	integral from 0 to 4 of x with respect to x	$\int_{0}^{4} x d x$
1097	Evaluate the Integral	integral of e^(2y) with respect to y	$\int e^{2 y} d y$
1098	Evaluate the Integral	integral from -1 to 2 of \|x\| with respect to x	$\int_{- 1}^{2} \| x \| d x$
1099	Evaluate the Integral	integral of cos(7x) with respect to x	$\int \cos (7 x) d x$
1100	Evaluate the Integral	integral from 1 to 4 of 1/x with respect to x	$\int_{1}^{4} \frac{1}{x} d x$