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Popular Calculus Problems

(\partial)/(\partial x)(y^2-x^2-x^3)	\frac{\partial\:}{\partial\:x}(y^{2}-x^{2}-x^{3})
integral from 0 to 1 of 2sqrt(1-x^2)	\int\:_{0}^{1}2\sqrt{1-x^{2}}dx
taylor (x^2+1)e^{x-1},1	taylor\:(x^{2}+1)e^{x-1},1
(dy)/(dx)=((4sec(y)))/((x+3)^2)	\frac{dy}{dx}=\frac{(4\sec(y))}{(x+3)^{2}}
derivative of ((x^4-5x^3+sqrt(x))/(x^2))	\frac{d}{dx}(\frac{(x^{4}-5x^{3}+\sqrt{x})}{x^{2}})
derivative of e^{4x}tan(x^5-4x^4)	\frac{d}{dx}(e^{4x}\tan(x^{5}-4x^{4}))
integral of 9sin^2(xco)s^2x	\int\:9\sin^{2}(xco)s^{2}xdx
derivative of y=x^7e^x	derivative\:y=x^{7}e^{x}
integral of (x^2+20x-15)/(x^3+4x^2-5x)	\int\:\frac{x^{2}+20x-15}{x^{3}+4x^{2}-5x}dx
integral of (-2)/(x^3)	\int\:\frac{-2}{x^{3}}dx
(dy}{dx}=\frac{9y^2)/x	\frac{dy}{dx}=\frac{9y^{2}}{x}
integral from 1 to R of x^{-9/4}	\int\:_{1}^{R}x^{-\frac{9}{4}}dx
sum from n=1 to infinity of 1/(5^n+7)	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n}+7}
taylor ln(7-3x)	taylor\:\ln(7-3x)
x^2y^{''}+3xy^'=2	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}=2
integral of cos(u)	\int\:\cos(u)du
derivative of e^{8tsin(2t)}	derivative\:e^{8t\sin(2t)}
derivative of ln(8x^2+7x+2)	\frac{d}{dx}(\ln(8x^{2}+7x+2))
integral from 1 to 3 of 7/(16-x^2)	\int\:_{1}^{3}\frac{7}{16-x^{2}}dx
integral of (26x^3-52x^2+7)/(x^2-2x)	\int\:\frac{26x^{3}-52x^{2}+7}{x^{2}-2x}dx
derivative of ln(9)	derivative\:\ln(9)
integral from 0 to 1 of x/((x^2+1)^3)	\int\:_{0}^{1}\frac{x}{(x^{2}+1)^{3}}dx
derivative of y=(1+x^2)/(arccot(x))	derivative\:y=\frac{1+x^{2}}{\arccot(x)}
integral from-2 to 0 of pi(2x^2+4x+3)^2	\int\:_{-2}^{0}π(2x^{2}+4x+3)^{2}dx
derivative of 72x(6x^2+8^5)	\frac{d}{dx}(72x(6x^{2}+8)^{5})
derivative of (5x-2/(x^2+1))	\frac{d}{dx}(\frac{5x-2}{x^{2}+1})
limit as x approaches 0-of (x-59)/x	\lim\:_{x\to\:0-}(\frac{x-59}{x})
derivative of (4^{2/3}-x^{2/3}^{3/2})	\frac{d}{dx}((4^{\frac{2}{3}}-x^{\frac{2}{3}})^{\frac{3}{2}})
derivative of cos^2(x^2+3)	\frac{d}{dx}(\cos^{2}(x^{2}+3))
(\partial)/(\partial y)(y-e^t)	\frac{\partial\:}{\partial\:y}(y-e^{t})
derivative of (xy+2y-x-2/(xy-3y+x-3))	\frac{d}{dx}(\frac{xy+2y-x-2}{xy-3y+x-3})
csc(y)dx+sec(2x)dy=0	\csc(y)dx+\sec(2x)dy=0
(\partial)/(\partial x)(cos(pi)x)	\frac{\partial\:}{\partial\:x}(\cos(π)x)
(d^2)/(dx^2)((x^2)/(1+2x))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}}{1+2x})
integral from 1/2 to 2 of (1-1/(x^2))	\int\:_{\frac{1}{2}}^{2}(1-\frac{1}{x^{2}})dx
(dy)/(dx)=y+x^2	\frac{dy}{dx}=y+x^{2}
integral from 3 to infinity of 1/(x^2)	\int\:_{3}^{\infty\:}\frac{1}{x^{2}}dx
integral from 0 to 1 of (42)/(x^p)	\int\:_{0}^{1}\frac{42}{x^{p}}dx
integral from 0 to 2 of xsqrt(11-x^2)	\int\:_{0}^{2}x\sqrt{11-x^{2}}dx
integral of (x^2+5)e^{-x}	\int\:(x^{2}+5)e^{-x}dx
integral of ((x^5+2x^2-1))/(x^4)	\int\:\frac{(x^{5}+2x^{2}-1)}{x^{4}}dx
2y^'+y= 3/2 t^2	2y^{\prime\:}+y=\frac{3}{2}t^{2}
limit as x approaches-2 of (2x)/(x+2)	\lim\:_{x\to\:-2}(\frac{2x}{x+2})
d/(dt)(cos(4t))	\frac{d}{dt}(\cos(4t))
derivative of 11x^{1/2}+x^{3/2}	\frac{d}{dx}(11x^{\frac{1}{2}}+x^{\frac{3}{2}})
integral from-6 to-2 of (-x^2-8x-18)	\int\:_{-6}^{-2}(-x^{2}-8x-18)dx
(x/((x+1)^2))^'	(\frac{x}{(x+1)^{2}})^{\prime\:}
(\partial)/(\partial z)(x^2sin(z))	\frac{\partial\:}{\partial\:z}(x^{2}\sin(z))
limit as x approaches 0 of 5xcot(2x)	\lim\:_{x\to\:0}(5x\cot(2x))
integral of 1/(s^2+6s+11)	\int\:\frac{1}{s^{2}+6s+11}ds
derivative of y=x^2+x+8	derivative\:y=x^{2}+x+8
derivative of-3/2 x^5+2/5 x^3-1/6 x^2-4x	\frac{d}{dx}(-\frac{3}{2}x^{5}+\frac{2}{5}x^{3}-\frac{1}{6}x^{2}-4x)
derivative of y=ln((sqrt(x))/(5-x))	derivative\:y=\ln(\frac{\sqrt{x}}{5-x})
limit as x approaches infinity of 3-x^2	\lim\:_{x\to\:\infty\:}(3-x^{2})
derivative of (sqrt(x)-6/(sqrt(x+6)))	\frac{d}{dx}(\frac{\sqrt{x}-6}{\sqrt{x+6}})
f(θ)=13θ-8sin(θ)	f(θ)=13θ-8\sin(θ)
integral of 1/(sqrt(as))	\int\:\frac{1}{\sqrt{as}}ds
sum from n=1 to infinity}0.5^{n-1 of*n	\sum\:_{n=1}^{\infty\:}0.5^{n-1}\cdot\:n
maclaurin (e^x)/2+(e^{-x})/2	maclaurin\:\frac{e^{x}}{2}+\frac{e^{-x}}{2}
integral of arcsin(x/2)	\int\:\arcsin(\frac{x}{2})dx
(dy)/(dx)=x^2sqrt(x-9)	\frac{dy}{dx}=x^{2}\sqrt{x-9}
limit as x approaches 0 of ln(1-2x)	\lim\:_{x\to\:0}(\ln(1-2x))
integral of e^{5x}cos(2x)	\int\:e^{5x}\cos(2x)dx
integral of (xcos(y))	\int\:(x\cos(y))dy
(\partial)/(\partial x)(y-x)	\frac{\partial\:}{\partial\:x}(y-x)
integral of (sin(2x))/(cos(x))	\int\:\frac{\sin(2x)}{\cos(x)}dx
(dy)/(dx)=5x	\frac{dy}{dx}=5x
integral from-2 to 2 of x^2+1	\int\:_{-2}^{2}x^{2}+1dx
derivative of 8x^{-1}	\frac{d}{dx}(8x^{-1})
derivative of f(x)=x^{-2/5}	derivative\:f(x)=x^{-\frac{2}{5}}
derivative of (e^x(x+xsqrt(x)))	\frac{d}{dx}((e^{x})(x+x\sqrt{x}))
limit as x approaches 1 of 2x^2-5x+1	\lim\:_{x\to\:1}(2x^{2}-5x+1)
integral of (x^2)/(x^2+25)	\int\:\frac{x^{2}}{x^{2}+25}dx
(\partial)/(\partial x)(sqrt(xy^2))	\frac{\partial\:}{\partial\:x}(\sqrt{xy^{2}})
(\partial)/(\partial x)((x+y)/(e^z))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{e^{z}})
integral of ((3-x)/(x^2+1)+xln(x^2))	\int\:(\frac{3-x}{x^{2}+1}+x\ln(x^{2}))dx
integral of sin^4(xco)s^4x	\int\:\sin^{4}(xco)s^{4}xdx
area y= 1/(20x^2),y=x,y= x/(16)	area\:y=\frac{1}{20x^{2}},y=x,y=\frac{x}{16}
(\partial)/(\partial y)(y^{3/2})	\frac{\partial\:}{\partial\:y}(y^{\frac{3}{2}})
integral of f(t)	\int\:f(t)dt
integral of ((x-2))/(x^2-4x+9)	\int\:\frac{(x-2)}{x^{2}-4x+9}dx
y^{''}+2y^'=-4sin(2x)	y^{\prime\:\prime\:}+2y^{\prime\:}=-4\sin(2x)
integral of 1/(x^5-x^2)	\int\:\frac{1}{x^{5}-x^{2}}dx
derivative of (-2x^2+x+4/(x^2+4x-1))	\frac{d}{dx}(\frac{-2x^{2}+x+4}{x^{2}+4x-1})
limit as x approaches 0 of (-x^3)/(x^3)	\lim\:_{x\to\:0}(\frac{-x^{3}}{x^{3}})
integral of x/(sqrt(9-2x^4))	\int\:\frac{x}{\sqrt{9-2x^{4}}}dx
integral of (2x+1)/(x^3-3x^2+3x-1)	\int\:\frac{2x+1}{x^{3}-3x^{2}+3x-1}dx
(dy)/(dx)x+y= 1/(y^2)	\frac{dy}{dx}x+y=\frac{1}{y^{2}}
integral of (x^3-x+3)/(x^2+x-2)	\int\:\frac{x^{3}-x+3}{x^{2}+x-2}dx
limit as x approaches-1-of \|x-1\|	\lim\:_{x\to\:-1-}(\left\|x-1\right\|)
integral from 0 to 2 of 1/2 x^2	\int\:_{0}^{2}\frac{1}{2}x^{2}dx
derivative of x^4-18x^2+1	\frac{d}{dx}(x^{4}-18x^{2}+1)
d/(dt)(t^3-1)	\frac{d}{dt}(t^{3}-1)
integral of (sqrt(1+x)+1)/(sqrt(1+x)-1)	\int\:\frac{\sqrt{1+x}+1}{\sqrt{1+x}-1}dx
integral of (tan(x)+sin(x))/(sec(x))	\int\:\frac{\tan(x)+\sin(x)}{\sec(x)}dx
integral of 6xe^{5x}	\int\:6xe^{5x}dx
integral of x^2(5x^3-1)^4	\int\:x^{2}(5x^{3}-1)^{4}dx
integral of (x+1)/(x^2-16)	\int\:\frac{x+1}{x^{2}-16}dx
sum from n=0 to infinity of 4n^2+4n+1	\sum\:_{n=0}^{\infty\:}4n^{2}+4n+1
area y=4x^2,y=x^2+2	area\:y=4x^{2},y=x^{2}+2

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