Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52101	Find the Volume	y=4-3/2x , y=0 , x=0 , x=1	$y = 4 - \frac{3}{2} x$ , $y = 0$ , $x = 0$ , $x = 1$
52102	Find the Volume	y=6x+7 , y=x^2	$y = 6 x + 7$ , $y = x^{2}$
52103	Find the Volume	y=9-25x^2 , y=0	$y = 9 - 25 x^{2}$ , $y = 0$
52104	Find the Volume	y = natural log of 3x , y=4 , y=5 , x=0	$y = \ln (3 x)$ , $y = 4$ , $y = 5$ , $x = 0$
52105	Find the Volume	y = natural log of 5x , y=5 , y=6 , x=0	$y = \ln (5 x)$ , $y = 5$ , $y = 6$ , $x = 0$
52106	Find the Volume	y=x^3 , y=0 , x=1 , x=2	$y = x^{3}$ , $y = 0$ , $x = 1$ , $x = 2$
52107	Find the Volume	y=x^3 , y=x	$y = x^{3}$ , $y = x$
52108	Find the Function	f'(a) = square root of 3-4x	$f' (a) = \sqrt{3 - 4 x}$
52109	Find the Function	f'(x)=25x^2+20x+4	$f' (x) = 25 x^{2} + 20 x + 4$
52110	Find the Function	f'(x)=6x-7	$f' (x) = 6 x - 7$
52111	Find the Equation of the Circle	r=9cos(theta)	$r = 9 \cos (θ)$
52112	Find the Arc Length	f(x)=1/(4x-1) , [-2,10]	$f (x) = \frac{1}{4 x - 1}$ , $[- 2, 10]$
52113	Find the Arc Length	f(x)=3x-2 , (4,10)	$f (x) = 3 x - 2$ , $(4, 10)$
52114	Find the Arc Length	f(x)=6x-6 , (0,4)	$f (x) = 6 x - 6$ , $(0, 4)$
52115	Find the Axis of Symmetry	y=-x^2+4x-6	$y = - x^{2} + 4 x - 6$
52116	Find the Axis of Symmetry	y=x^2-4x+5	$y = x^{2} - 4 x + 5$
52117	Find the Antiderivative	5x-7	$5 x - 7$
52118	Find the Antiderivative	5x+5	$5 x + 5$
52119	Find the Antiderivative	-4x^3-8x^2-4	$- 4 x^{3} - 8 x^{2} - 4$
52120	Find the Antiderivative	-x^2+1	$- x^{2} + 1$
52121	Find the Antiderivative	-1/(5x^2)	$- \frac{1}{5 x^{2}}$
52122	Find the Antiderivative	3/4x^3	$\frac{3}{4} x^{3}$
52123	Find the Antiderivative	7x^-2	$7 x^{- 2}$
52124	Find the Antiderivative	x square root of x+1/(x square root of x)	$x \sqrt{x} + \frac{1}{x \sqrt{x}}$
52125	Find the Antiderivative	2xcos(x)	$2 x \cos (x)$
52126	Find the Antiderivative	6x+4	$6 x + 4$
52127	Find the Antiderivative	2e^(1/2x)	$2 e^{\frac{1}{2} x}$
52128	Find the Antiderivative	x^2tan(x)	$x^{2} \tan (x)$
52129	Find the Antiderivative	(2 natural log of x)/x	$\frac{2 \ln (x)}{x}$
52130	Find the Antiderivative	7x^(1/2)	$7 x^{\frac{1}{2}}$
52131	Find the Antiderivative	1/((1+x) square root of x)	$\frac{1}{(1 + x) \sqrt{x}}$
52132	Find the Antiderivative	(sin(x)^2+cos(x)^2)	$(\sin^{2} (x) + \cos^{2} (x))$
52133	Find the Antiderivative	2e^(x^2)	$2 e^{x^{2}}$
52134	Find the Antiderivative	x^2 square root of x-1	$x^{2} \sqrt{x - 1}$
52135	Find the Antiderivative	-3csc(x)^2	$- 3 \csc^{2} (x)$
52136	Find the Antiderivative	8x-9	$8 x - 9$
52137	Find the Antiderivative	e^(0.2x)	$e^{0.2 x}$
52138	Find the Antiderivative	4x+ square root of x	$4 x + \sqrt{x}$
52139	Find the Antiderivative	3sec(theta)tan(theta)	$3 \sec (θ) \tan (θ)$
52140	Find the Antiderivative	4x^3-6x^2-8x+5	$4 x^{3} - 6 x^{2} - 8 x + 5$
52141	Find the Antiderivative	x^-0.5	$x^{- 0.5}$
52142	Find the Antiderivative	f(x)=3 square root of x+x^2	$f (x) = 3 \sqrt{x} + x^{2}$
52143	Find the Antiderivative	(2sin(x)+3cos(x))	$(2 \sin (x) + 3 \cos (x))$
52144	Find the Antiderivative	-x/3	$- \frac{x}{3}$
52145	Find the Antiderivative	sec(8x)	$\sec (8 x)$
52146	Find the Antiderivative	sin(3x)dx	$\sin (3 x) d x$
52147	Find the Antiderivative	3cos(5x)	$3 \cos (5 x)$
52148	Find the Antiderivative	t(3t-2)	$t (3 t - 2)$
52149	Find the Antiderivative	4xsin(x)	$4 x \sin (x)$
52150	Find the Antiderivative	(sin(pi/4x))^2	$\sin^{2} (\frac{π}{4} x)$
52151	Find the Antiderivative	e^x-sin(x)	$e^{x} - \sin (x)$
52152	Find the Antiderivative	cube root of x- square root of x+sin(x)	$\sqrt[3]{x} - \sqrt{x} + \sin (x)$
52153	Find the Antiderivative	-1/4e^x	$- \frac{1}{4} e^{x}$
52154	Find the Antiderivative	32x	$32 x$
52155	Find the Antiderivative	1/2x^2 natural log of x-3/4x^2	$\frac{1}{2} x^{2} \ln (x) - \frac{3}{4} x^{2}$
52156	Find the Antiderivative	1/8x^2	$\frac{1}{8} x^{2}$
52157	Find the Antiderivative	(2x^2)/3	$\frac{2 x^{2}}{3}$
52158	Find the Antiderivative	x^pi	$x^{π}$
52159	Find the Antiderivative	u^5	$u^{5}$
52160	Find the Antiderivative	82+4sin(x/2)	$82 + 4 \sin (\frac{x}{2})$
52161	Find the Antiderivative	1+3x	$1 + 3 x$
52162	Find the Antiderivative	5x^4+pi	$5 x^{4} + π$
52163	Find the Antiderivative	y-x	$y - x$
52164	Find the Antiderivative	-\|x\|	$- \| x \|$
52165	Find the Antiderivative	9/(x^5)	$\frac{9}{x^{5}}$
52166	Find the Antiderivative	-3000/(x^2)	$- \frac{3000}{x^{2}}$
52167	Find the Antiderivative	sin(x)tan(x)^2	$\sin (x) \tan^{2} (x)$
52168	Find the Antiderivative	(sin( square root of x))/( square root of x)	$\frac{\sin (\sqrt{x})}{\sqrt{x}}$
52169	Find the Antiderivative	x square root of 3x-6	$x \sqrt{3 x - 6}$
52170	Find the Antiderivative	sin(x)^2cos(x)^3	$\sin^{2} (x) \cos^{3} (x)$
52171	Find the Antiderivative	1/2x-1	$\frac{1}{2} x - 1$
52172	Find the Antiderivative	(x^2-x)/(1+3x^2-2x)	$\frac{x^{2} - x}{1 + 3 x^{2} - 2 x}$
52173	Find the Antiderivative	-(5 fourth root of x)/2	$- \frac{5 \sqrt[4]{x}}{2}$
52174	Find the Antiderivative	sin(x)^3cos(x)^2	$\sin^{3} (x) \cos^{2} (x)$
52175	Find the Antiderivative	1/((16-x^2)^(3/2))	$\frac{1}{{(16 - x^{2})}^{\frac{3}{2}}}$
52176	Find the Antiderivative	1+ cube root of x	$1 + \sqrt[3]{x}$
52177	Find the Antiderivative	-1/u	$- \frac{1}{u}$
52178	Find the Antiderivative	e^(-cos(theta))sin(theta)	$e^{- \cos (θ)} \sin (θ)$
52179	Find the Antiderivative	2x-3x^2	$2 x - 3 x^{2}$
52180	Find the Antiderivative	x^2sin(2x)	$x^{2} \sin (2 x)$
52181	Find the Antiderivative	square root of x^4+1+x^3-3x	$\sqrt{x^{4} + 1} + x^{3} - 3 x$
52182	Find the Antiderivative	1/(sec(x)tan(x))	$\frac{1}{\sec (x) \tan (x)}$
52183	Find the Antiderivative	(x^(1/3)-x^(2/3))	$(x^{\frac{1}{3}} - x^{\frac{2}{3}})$
52184	Find the Antiderivative	cube root of x^2+x square root of x	$\sqrt[3]{x^{2}} + x \sqrt{x}$
52185	Find the Antiderivative	6xe^(-2x^2)	$6 x e^{- 2 x^{2}}$
52186	Find the Antiderivative	1/((x-2)^3)	$\frac{1}{{(x - 2)}^{3}}$
52187	Find the Antiderivative	xe^(-7x)	$x e^{- 7 x}$
52188	Find the Antiderivative	-3(2x-6)^(1/2)	$- 3 {(2 x - 6)}^{\frac{1}{2}}$
52189	Find the Antiderivative	t^4-4t^2+C	$t^{4} - 4 t^{2} + C$
52190	Find the Antiderivative	square root of x- sixth root of x	$\sqrt{x} - \sqrt[6]{x}$
52191	Find the Antiderivative	13x^2	$13 x^{2}$
52192	Find the Antiderivative	5 square root of x+2	$5 \sqrt{x} + 2$
52193	Find the Antiderivative	(3sin(x)-2cos(x))	$(3 \sin (x) - 2 \cos (x))$
52194	Find the Antiderivative	(-14x^(5/2))/2	$\frac{- 14 x^{\frac{5}{2}}}{2}$
52195	Find the Antiderivative	2/( cube root of 3x)	$\frac{2}{\sqrt[3]{3 x}}$
52196	Find the Antiderivative	-4sec(x)^2	$- 4 \sec^{2} (x)$
52197	Find the Antiderivative	12/( square root of 1-x^2)	$\frac{12}{\sqrt{1 - x^{2}}}$
52198	Find the Antiderivative	x^(-1/6)	$x^{- \frac{1}{6}}$
52199	Find the Antiderivative	20/(x^2)	$\frac{20}{x^{2}}$
52200	Find the Antiderivative	2x^(-3/4)	$2 x^{- \frac{3}{4}}$