Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59001	Find the Antiderivative	(3x-2)/x	$\frac{3 x - 2}{x}$
59002	Find the Antiderivative	7xe^(2x)	$7 x e^{2 x}$
59003	Find the Antiderivative	5/(9x^2+36)	$\frac{5}{9 x^{2} + 36}$
59004	Find the Antiderivative	-2sin(x)^2	$- 2 \sin^{2} (x)$
59005	Find the Antiderivative	4x+9	$4 x + 9$
59006	Find the Antiderivative	tan(x)^7sec(x)^2	$\tan^{7} (x) \sec^{2} (x)$
59007	Find the Antiderivative	90x^8(1-x)	$90 x^{8} (1 - x)$
59008	Find the Antiderivative	3x^-3-2x^-2+x^4+16x^7	$3 x^{- 3} - 2 x^{- 2} + x^{4} + 16 x^{7}$
59009	Find the Antiderivative	2/(t^3)	$\frac{2}{t^{3}}$
59010	Find the Antiderivative	(t+1)/( square root of t)	$\frac{(t + 1)}{\sqrt{t}}$
59011	Find the Antiderivative	3 square root of x(1-2x)	$3 \sqrt{x} (1 - 2 x)$
59012	Find the Antiderivative	(x^8)/6561	$\frac{x^{8}}{6561}$
59013	Find the Antiderivative	(cos(x))	$(\cos (x))$
59014	Find the Antiderivative	-9000/((3x+50)^2)	$- \frac{9000}{{(3 x + 50)}^{2}}$
59015	Find the Antiderivative	x^(1/3)-x	$x^{\frac{1}{3}} - x$
59016	Find the Antiderivative	1/(x-x^2)	$\frac{1}{x - x^{2}}$
59017	Find the Antiderivative	2y-1	$2 y - 1$
59018	Find the Antiderivative	(sec(x)+tan(x))^2	${(\sec (x) + \tan (x))}^{2}$
59019	Find the Antiderivative	cos(2pix)	$\cos (2 π x)$
59020	Find the Antiderivative	4xsin(x^2)	$4 x \sin (x^{2})$
59021	Find the Antiderivative	-48/((2x+2)^2)+48	$- \frac{48}{{(2 x + 2)}^{2}} + 48$
59022	Find the Antiderivative	3-0.01x+0.000006x^2	$3 - 0.01 x + 0.000006 x^{2}$
59023	Find the Antiderivative	8x^-3	$8 x^{- 3}$
59024	Find the Antiderivative	-x^3-3x^2+13x+15	$- x^{3} - 3 x^{2} + 13 x + 15$
59025	Find the Antiderivative	-36cos(x)	$- 36 \cos (x)$
59026	Find the Antiderivative	6x^2+8	$6 x^{2} + 8$
59027	Find the Antiderivative	(x^8+x^2-1)/( square root of x)	$\frac{x^{8} + x^{2} - 1}{\sqrt{x}}$
59028	Find the Antiderivative	-e^(x^2)	$- e^{x^{2}}$
59029	Find the Antiderivative	-cos(3x)	$- \cos (3 x)$
59030	Find the Antiderivative	3x^2-6x-3	$3 x^{2} - 6 x - 3$
59031	Find the Antiderivative	-2x+9x^2-4x^3+18	$- 2 x + 9 x^{2} - 4 x^{3} + 18$
59032	Find the Antiderivative	8x-6	$8 x - 6$
59033	Find the Antiderivative	1/(x-x^2)	$\frac{1}{(x - x^{2})}$
59034	Find the Antiderivative	45e^(-x)	$45 e^{- x}$
59035	Find the Antiderivative	20x^3	$20 x^{3}$
59036	Find the Antiderivative	1/4x^6	$\frac{1}{4} x^{6}$
59037	Find the Antiderivative	(x-4) square root of x+4	$(x - 4) \sqrt{x + 4}$
59038	Find the Antiderivative	2x^2-3x+2	$2 x^{2} - 3 x + 2$
59039	Find the Antiderivative	7^x natural log of 7	$7^{x} \ln (7)$
59040	Find the Antiderivative	2x^3-3x^-4+sec(x)^2	$2 x^{3} - 3 x^{- 4} + \sec^{2} (x)$
59041	Find the Antiderivative	1/12x	$\frac{1}{12} x$
59042	Find the Antiderivative	2sec(2x)^2-1/(x^2)	$2 \sec^{2} (2 x) - \frac{1}{x^{2}}$
59043	Find the Antiderivative	e^xsec(e^x)	$e^{x} \sec (e^{x})$
59044	Find the Antiderivative	6x^(3/5)	$6 x^{\frac{3}{5}}$
59045	Find the Antiderivative	3x^2-x-1	$3 x^{2} - x - 1$
59046	Find the Antiderivative	(sec(x))/(tan(x))	$\frac{(\sec (x))}{\tan (x)}$
59047	Find the Antiderivative	7x^6-3x^2+5	$7 x^{6} - 3 x^{2} + 5$
59048	Find the Antiderivative	7sin(t)	$7 \sin (t)$
59049	Find the Antiderivative	pi/x	$\frac{π}{x}$
59050	Find the Antiderivative	5sin(x)-3e^x	$5 \sin (x) - 3 e^{x}$
59051	Find the Antiderivative	-3csc(x)cot(x)	$- 3 \csc (x) \cot (x)$
59052	Find the Antiderivative	-6x^-2	$- 6 x^{- 2}$
59053	Find the Antiderivative	14e^(-7x)	$14 e^{- 7 x}$
59054	Find the Antiderivative	2/( fourth root of x)	$\frac{2}{\sqrt[4]{x}}$
59055	Find the Antiderivative	(x^2+4x-4)/( square root of x)	$\frac{x^{2} + 4 x - 4}{\sqrt{x}}$
59056	Find the Antiderivative	12x square root of 2x^2+1	$12 x \sqrt{2 x^{2} + 1}$
59057	Find the Antiderivative	(9x^4)/(x^6)	$\frac{9 x^{4}}{x^{6}}$
59058	Find the Antiderivative	x^2-1/(x^2)	$x^{2} - \frac{1}{x^{2}}$
59059	Find the Antiderivative	8/(x^6)	$\frac{8}{x^{6}}$
59060	Find the Antiderivative	(1+t+t^2)/( square root of t)	$\frac{1 + t + t^{2}}{\sqrt{t}}$
59061	Find the Antiderivative	csc(4x)	$\csc (4 x)$
59062	Find the Antiderivative	14sin(x)^4	$14 \sin^{4} (x)$
59063	Find the Antiderivative	1/( square root of x)dx	$\frac{1}{\sqrt{x}} d x$
59064	Find the Antiderivative	(3x+1)/( square root of x^3)	$\frac{3 x + 1}{\sqrt{x^{3}}}$
59065	Find the Antiderivative	8x^3+12x+7	$8 x^{3} + 12 x + 7$
59066	Find the Antiderivative	3/(2 square root of x)	$\frac{3}{2 \sqrt{x}}$
59067	Find the Antiderivative	(2x+5)/(x-3)	$\frac{2 x + 5}{x - 3}$
59068	Find the Antiderivative	e^x(-x^3+3x)-3	$e^{x} (- x^{3} + 3 x) - 3$
59069	Find the Antiderivative	y^-1x^-3	$y^{- 1} x^{- 3}$
59070	Find the Antiderivative	1/(dx)	$\frac{1}{d x}$
59071	Find the Antiderivative	((x^4)/16)	$(\frac{x^{4}}{16})$
59072	Find the Antiderivative	(( natural log of x)^4)/(9x)	$\frac{\ln^{4} (x)}{9 x}$
59073	Find the Antiderivative	(x-1)/( square root of x)	$\frac{(x - 1)}{\sqrt{x}}$
59074	Find the Antiderivative	-2+24x-12x^2	$- 2 + 24 x - 12 x^{2}$
59075	Find the Antiderivative	3x-3	$3 x - 3$
59076	Find the Antiderivative	-12x	$- 12 x$
59077	Find the Antiderivative	sin(1/2pix)	$\sin (\frac{1}{2} π x)$
59078	Find the Antiderivative	3.7-0.2 square root of x	$3.7 - 0.2 \sqrt{x}$
59079	Find the Antiderivative	20sin((t^2)/35)	$20 \sin (\frac{t^{2}}{35})$
59080	Find the Antiderivative	-2x^(3/2)	$- 2 x^{\frac{3}{2}}$
59081	Find the Antiderivative	square root of 1+9y^4	$\sqrt{1 + 9 y^{4}}$
59082	Find the Antiderivative	theta^2	$θ^{2}$
59083	Find the Antiderivative	2xsin(x^2)	$2 x \sin (x^{2})$
59084	Find the Antiderivative	(pix)/2	$\frac{π x}{2}$
59085	Find the Antiderivative	1/(x^1.01)	$\frac{1}{x^{1.01}}$
59086	Find the Antiderivative	6 natural log of 3x	$6 \ln (3 x)$
59087	Find the Antiderivative	4/(x^2)+2	$\frac{4}{x^{2}} + 2$
59088	Find the Antiderivative	4+cos(x)	$4 + \cos (x)$
59089	Find the Antiderivative	2-2sin(pix)	$2 - 2 \sin (π x)$
59090	Find the Antiderivative	1/4e^(4x)	$\frac{1}{4} e^{4 x}$
59091	Find the Antiderivative	integral of (sec(theta))/(sec(theta)-cos(theta)) with respect to theta	$\int \frac{\sec (θ)}{\sec (θ) - \cos (θ)} d θ$
59092	Find the Antiderivative	8x^3+12x+3	$8 x^{3} + 12 x + 3$
59093	Find the Antiderivative	cos(xe^(sin(x)))	$\cos (x e^{\sin (x)})$
59094	Find the Antiderivative	( square root of 3x^2)/2	$\frac{\sqrt{3 x^{2}}}{2}$
59095	Find the Antiderivative	1/(x^0.999)	$\frac{1}{x^{0.999}}$
59096	Find the Antiderivative	7x^2+7x-2	$7 x^{2} + 7 x - 2$
59097	Find the Antiderivative	1/(y-1)	$\frac{1}{(y - 1)}$
59098	Find the Antiderivative	-cos(x/2)	$- \cos (\frac{x}{2})$
59099	Find the Antiderivative	x( cube root of x)	$x (\sqrt[3]{x})$
59100	Find the Antiderivative	square root of 1-sin(x)^2	$\sqrt{1 - \sin^{2} (x)}$