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Popular Calculus Problems

(\partial)/(\partial x)(ytan(x))	\frac{\partial\:}{\partial\:x}(y\tan(x))
integral of (e^x+1)/(e^x+x)	\int\:\frac{e^{x}+1}{e^{x}+x}dx
(dy)/(dx)=\sqrt[3]{64xy}	\frac{dy}{dx}=\sqrt[3]{64xy}
(\partial)/(\partial x)(2x^4y+4)	\frac{\partial\:}{\partial\:x}(2x^{4}y+4)
integral of-25cos(5t+pi)	\int\:-25\cos(5t+π)dt
integral of 3e^2	\int\:3e^{2}dx
derivative of 4(e^xcos(x)-e^xsin(x))	derivative\:4(e^{x}\cos(x)-e^{x}\sin(x))
derivative of (x^2+4/(4-x^2))	\frac{d}{dx}(\frac{x^{2}+4}{4-x^{2}})
derivative of (10)/((1-x)^3)	derivative\:\frac{10}{(1-x)^{3}}
y^'=y-x^2	y^{\prime\:}=y-x^{2}
(xe^{4x})^'	(xe^{4x})^{\prime\:}
derivative of arcsin(x^3)	derivative\:\arcsin(x^{3})
f(x)=sqrt(7-x^3)	f(x)=\sqrt{7-x^{3}}
derivative of (5x/(x^2+4))	\frac{d}{dx}(\frac{5x}{x^{2}+4})
x(dy)/(dx)+y=x^2y^2	x\frac{dy}{dx}+y=x^{2}y^{2}
integral from 0 to 7 of 2x\sqrt[3]{x+1}	\int\:_{0}^{7}2x\sqrt[3]{x+1}dx
integral of x^2+7x-5	\int\:x^{2}+7x-5dx
integral of 1/(sin^5(x))	\int\:\frac{1}{\sin^{5}(x)}dx
(\partial)/(\partial x)(cos^2(3x-y^2))	\frac{\partial\:}{\partial\:x}(\cos^{2}(3x-y^{2}))
derivative of f(x)=sqrt(x)+1/(sqrt(x^3))	derivative\:f(x)=\sqrt{x}+\frac{1}{\sqrt{x^{3}}}
area x=2y,x=y^2-3	area\:x=2y,x=y^{2}-3
integral of 2x^2+5x	\int\:2x^{2}+5xdx
integral of (2cos(x)+5sin(x))	\int\:(2\cos(x)+5\sin(x))dx
(dy)/(dx)=(e^x)/(e^y)	\frac{dy}{dx}=\frac{e^{x}}{e^{y}}
y^{''}-10y^'+9y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+9y=0
tangent of y=x^4+4x^2-x,(1,4)	tangent\:y=x^{4}+4x^{2}-x,(1,4)
tangent of y= 1/3 x^3-3x^2+5x	tangent\:y=\frac{1}{3}x^{3}-3x^{2}+5x
integral of x*\sqrt[3]{x-4}	\int\:x\cdot\:\sqrt[3]{x-4}dx
derivative of (x^2-1)/(x^2)	derivative\:\frac{x^{2}-1}{x^{2}}
limit as x approaches 0 of ((4+x)^{-1}-4^{-1})/x	\lim\:_{x\to\:0}(\frac{(4+x)^{-1}-4^{-1}}{x})
derivative of g(t)= 5/(sqrt(t))	derivative\:g(t)=\frac{5}{\sqrt{t}}
derivative of 2^2	derivative\:2^{2}
integral of xarctan^2(x)	\int\:x\arctan^{2}(x)dx
(\partial ^2)/(\partial x\partial y)(xy+8/x+8/y)	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(xy+\frac{8}{x}+\frac{8}{y})
integral of 28tan^6(x)	\int\:28\tan^{6}(x)dx
limit as x approaches pi of x/pi	\lim\:_{x\to\:π}(\frac{x}{π})
derivative of x+sqrt(x+5)	\frac{d}{dx}(x+\sqrt{x+5})
integral of (e^{2x}+3)^2	\int\:(e^{2x}+3)^{2}dx
area (152)/x ,-49x+189	area\:\frac{152}{x},-49x+189
y^{''}-6y^'+5y=0,y(0)=3,y^'(0)=11	y^{\prime\:\prime\:}-6y^{\prime\:}+5y=0,y(0)=3,y^{\prime\:}(0)=11
limit as x approaches-3 of (5x^2+15x)/(x+3)	\lim\:_{x\to\:-3}(\frac{5x^{2}+15x}{x+3})
limit as x approaches pi of ln\|cos(x)-4\|	\lim\:_{x\to\:π}(\ln\left\|\cos(x)-4\right\|)
integral of (((7-2x))/(x^{1/2)}+3(5-e^x+2e^3))	\int\:(\frac{(7-2x)}{x^{\frac{1}{2}}}+3(5-e^{x}+2e^{3}))dx
derivative of x^3e^x	derivative\:x^{3}e^{x}
integral of (1-x)cos(2x)	\int\:(1-x)\cos(2x)dx
(\partial)/(\partial x)(e^xx+e^x2y)	\frac{\partial\:}{\partial\:x}(e^{x}x+e^{x}2y)
integral of (sin(npix))/(npi)	\int\:\frac{\sin(nπx)}{nπ}dx
(dy)/(dx)= 1/(x^2+1)	\frac{dy}{dx}=\frac{1}{x^{2}+1}
derivative of-2x^{9/8}	\frac{d}{dx}(-2x^{\frac{9}{8}})
limit as x approaches 30 of 30	\lim\:_{x\to\:30}(30)
integral from 0 to 1 of 8/(sqrt(x)(x+1))	\int\:_{0}^{1}\frac{8}{\sqrt{x}(x+1)}dx
integral from 0 to infinity of 3^{-x}	\int\:_{0}^{\infty\:}3^{-x}dx
integral of x^2(2x+1)	\int\:x^{2}(2x+1)dx
integral of cos(x)e^{-sin(x)}	\int\:\cos(x)e^{-\sin(x)}dx
integral of (9x^2-16x+4)/(x^3-3x^2+2x)	\int\:\frac{9x^{2}-16x+4}{x^{3}-3x^{2}+2x}dx
integral of sec(aθ)tan(aθ)	\int\:\sec(aθ)\tan(aθ)dθ
area y=2,y=x^2-2	area\:y=2,y=x^{2}-2
(\partial)/(\partial y)(x^{1/2}y^{1/2})	\frac{\partial\:}{\partial\:y}(x^{\frac{1}{2}}y^{\frac{1}{2}})
tangent of 12x-x^3	tangent\:12x-x^{3}
limit as x approaches-2 of 3^{x+1}	\lim\:_{x\to\:-2}(3^{x+1})
integral of w^2ln(w)	\int\:w^{2}\ln(w)dw
derivative of 2x+4	derivative\:2x+4
derivative of 1/(2t^2+1)	derivative\:\frac{1}{2t^{2}+1}
limit as x approaches 0 of x^2+1	\lim\:_{x\to\:0}(x^{2}+1)
integral of a^xe^x	\int\:a^{x}e^{x}dx
y^'-5y=-t	y^{\prime\:}-5y=-t
(\partial)/(\partial x)(e^{ysin(x)})	\frac{\partial\:}{\partial\:x}(e^{y\sin(x)})
derivative of 4sqrt(9-x)	\frac{d}{dx}(4\sqrt{9-x})
derivative of (2x/(1+x^2))	\frac{d}{dx}(\frac{2x}{1+x^{2}})
derivative of (5x^2+2x-6/(3x-1))	\frac{d}{dx}(\frac{5x^{2}+2x-6}{3x-1})
derivative of (1+x^{-1}^2)	\frac{d}{dx}((1+x^{-1})^{2})
derivative of ln(xsin(x)cos(x))	\frac{d}{dx}(\ln(x)\sin(x)\cos(x))
derivative of f(x)=log_{2}(3x)	derivative\:f(x)=\log_{2}(3x)
derivative of f(x)=-8.25x^2+66x	derivative\:f(x)=-8.25x^{2}+66x
inverse oflaplace (s-1)/(s^2(s+3))	inverselaplace\:\frac{s-1}{s^{2}(s+3)}
limit as t approaches a of t	\lim\:_{t\to\:a}(t)
tangent of x^2-2x	tangent\:x^{2}-2x
(\partial)/(\partial y)((7y)/(sqrt(x)))	\frac{\partial\:}{\partial\:y}(\frac{7y}{\sqrt{x}})
derivative of 7x^2-8x+3	derivative\:7x^{2}-8x+3
(\partial)/(\partial x)(sqrt(x^2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}y^{2}})
derivative of 1-cos(3x)	\frac{d}{dx}(1-\cos(3x))
limit as x approaches-4-of x+4	\lim\:_{x\to\:-4-}(x+4)
integral of sec^2(x)	\int\:\sec^{2}(x)dx
derivative of y= 1/2 x^2	derivative\:y=\frac{1}{2}x^{2}
derivative of asin(bx)	\frac{d}{dx}(a\sin(bx))
derivative of x/(1-ln(x-7))	\frac{d}{dx}(\frac{x}{1-\ln(x-7)})
integral of 1/(xcos(ln(x)))	\int\:\frac{1}{x\cos(\ln(x))}dx
limit as x approaches-2+of (x^2)/(x+2)	\lim\:_{x\to\:-2+}(\frac{x^{2}}{x+2})
(\partial)/(\partial x)(x(20-2x)(16-2x))	\frac{\partial\:}{\partial\:x}(x(20-2x)(16-2x))
(\partial)/(\partial x)(x^9y^9-x^8y^8)	\frac{\partial\:}{\partial\:x}(x^{9}y^{9}-x^{8}y^{8})
integral of 2x^2e^{x^3}	\int\:2x^{2}e^{x^{3}}dx
integral of 1/(sec^4(1/4 x))	\int\:\frac{1}{\sec^{4}(\frac{1}{4}x)}dx
taylor e^x+0+5	taylor\:e^{x}+0+5
limit as x approaches 2 of 8-2x^2	\lim\:_{x\to\:2}(8-2x^{2})
(\partial)/(\partial x)((x^2-y^2)^{1/2})	\frac{\partial\:}{\partial\:x}((x^{2}-y^{2})^{\frac{1}{2}})
integral of-2+30x-12x^2	\int\:-2+30x-12x^{2}dx
limit as x approaches 0 of (1+4x)^{3/x}	\lim\:_{x\to\:0}((1+4x)^{\frac{3}{x}})
integral of ((tan(u))/4-4/7 u^6-2/u)	\int\:(\frac{\tan(u)}{4}-\frac{4}{7}u^{6}-\frac{2}{u})du
limit as x approaches a of 1/2	\lim\:_{x\to\:a}(\frac{1}{2})
derivative of f(x)=(5x+4)^3	derivative\:f(x)=(5x+4)^{3}

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