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Popular Calculus Problems

(d^2)/(dx^2)((x^2+1)/(x^2-4))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}+1}{x^{2}-4})
integral of 7/(x-2)	\int\:\frac{7}{x-2}dx
tangent of e^{x^3}	tangent\:e^{x^{3}}
(\partial)/(\partial x)(e^{xyz^3})	\frac{\partial\:}{\partial\:x}(e^{xyz^{3}})
integral of tln(t+5)	\int\:t\ln(t+5)dt
integral of x/(1+2x^2)	\int\:\frac{x}{1+2x^{2}}dx
derivative of x^5+3x^2+1	\frac{d}{dx}(x^{5}+3x^{2}+1)
area 10x,x^2-11	area\:10x,x^{2}-11
derivative of 1-e^{-e^x}	\frac{d}{dx}(1-e^{-e^{x}})
y^'-8y=cos(x)	y^{\prime\:}-8y=\cos(x)
integral of x/(x^{2+1)}	\int\:\frac{x}{x^{2+1}}dx
derivative of acos(x+bsin(x))	\frac{d}{dx}(a\cos(x)+b\sin(x))
integral of sqrt(16-x^2)	\int\:\sqrt{16-x^{2}}dx
area y=x^3,y=0,x=1,x=2	area\:y=x^{3},y=0,x=1,x=2
integral from 0 to 19/6 of pi(19/6-x)^2	\int\:_{0}^{\frac{19}{6}}π(\frac{19}{6}-x)^{2}dx
tangent of f(x)=e^{8x}cos(pix),\at x=0	tangent\:f(x)=e^{8x}\cos(πx),\at\:x=0
(\partial)/(\partial z)(rcos(t))	\frac{\partial\:}{\partial\:z}(r\cos(t))
laplacetransform 1-2e^{-2t}	laplacetransform\:1-2e^{-2t}
limit as x approaches 3 of 2x^2+4x+1	\lim\:_{x\to\:3}(2x^{2}+4x+1)
y^{''}-2y^'+5y=25x^2+12	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=25x^{2}+12
integral from 0 to 2 of (3t)/((3-t)^2)	\int\:_{0}^{2}\frac{3t}{(3-t)^{2}}dt
tangent of y=3x^2+5x,(-3,-13)	tangent\:y=3x^{2}+5x,(-3,-13)
limit as x approaches 3 of e^x	\lim\:_{x\to\:3}(e^{x})
derivative of ln(sqrt(x^2+3))	\frac{d}{dx}(\ln(\sqrt{x^{2}+3}))
derivative of 3^{(x^4+1^3})	\frac{d}{dx}(3^{(x^{4}+1)^{3}})
integral of (3x^2-5x+1)/((x-4))	\int\:\frac{3x^{2}-5x+1}{(x-4)}dx
maclaurin e^{x^5}	maclaurin\:e^{x^{5}}
derivative of f(x)=x^3-3x^2	derivative\:f(x)=x^{3}-3x^{2}
(d^2)/(dx^2)(sqrt(x)+\sqrt[3]{x})	\frac{d^{2}}{dx^{2}}(\sqrt{x}+\sqrt[3]{x})
integral of (x^2In^3(1+x^3))/(1+x^3)	\int\:\frac{x^{2}In^{3}(1+x^{3})}{1+x^{3}}dx
derivative of \|e^{ix}\|^2	\frac{d}{dx}(\left\|e^{ix}\right\|^{2})
sum from n=0 to infinity of 5/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{5}{3^{n}}
limit as x approaches 2 of (2x^2)/x	\lim\:_{x\to\:2}(\frac{2x^{2}}{x})
integral of y(a-by^2)	\int\:y(a-by^{2})dy
integral of x^2sqrt(x)-1	\int\:x^{2}\sqrt{x}-1dx
derivative of y=arcsin(3/(x^2))	derivative\:y=\arcsin(\frac{3}{x^{2}})
derivative of 3x^2cos(6x)	\frac{d}{dx}(3x^{2}\cos(6x))
derivative of s(t)=\sqrt[4]{2t^2-4t+7}	derivative\:s(t)=\sqrt[4]{2t^{2}-4t+7}
integral of (2x-5x^2)(2-10x)	\int\:(2x-5x^{2})(2-10x)dx
integral of (x+1)/(sqrt(2x^2-6x+4))	\int\:\frac{x+1}{\sqrt{2x^{2}-6x+4}}dx
derivative of 2pi(x/(9.8)^{1/2})	\frac{d}{dx}(2π(\frac{x}{9.8})^{\frac{1}{2}})
integral of x^2+2x+4	\int\:x^{2}+2x+4dx
derivative of x^4*cos(4x)	derivative\:x^{4}\cdot\:\cos(4x)
(dy)/(dx)+(x^2)y=2x^2	\frac{dy}{dx}+(x^{2})y=2x^{2}
integral of (15)/((x+2)^4)	\int\:\frac{15}{(x+2)^{4}}dx
integral of (e^ti+j+cos(t)k)	\int\:(e^{t}i+j+\cos(t)k)dt
(\partial)/(\partial y)(2xe^{x+y}+x^2e^{x+y}-y^3sin(xy))	\frac{\partial\:}{\partial\:y}(2xe^{x+y}+x^{2}e^{x+y}-y^{3}\sin(xy))
inverse oflaplace 1/((s^2+3s))	inverselaplace\:\frac{1}{(s^{2}+3s)}
tangent of f(x)=(2x)/(1+x^2),\at x=4	tangent\:f(x)=\frac{2x}{1+x^{2}},\at\:x=4
y^{''}-3y^'+2y=e^x+2e^x+e^{-x}	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=e^{x}+2e^{x}+e^{-x}
integral of 2+sin(x)	\int\:2+\sin(x)dx
integral from 0 to 1 of 1/(x^{1.2)}	\int\:_{0}^{1}\frac{1}{x^{1.2}}dx
derivative of-(e^{1/x})/(x^2)	derivative\:-\frac{e^{\frac{1}{x}}}{x^{2}}
integral of x*ln(3x)	\int\:x\cdot\:\ln(3x)dx
integral of sqrt(8x)	\int\:\sqrt{8x}dx
(\partial)/(\partial x)(xln(x+3y))	\frac{\partial\:}{\partial\:x}(x\ln(x+3y))
integral of (-4)/(\sqrt[3]{x^2)}	\int\:\frac{-4}{\sqrt[3]{x^{2}}}dx
limit as x approaches 3 of (x-1)/(3-x)	\lim\:_{x\to\:3}(\frac{x-1}{3-x})
derivative of x^y+1	derivative\:x^{y}+1
f(x)=e^{2x}-x^2-1	f(x)=e^{2x}-x^{2}-1
derivative of ln(x^7)	derivative\:\ln(x^{7})
integral from 0 to 4 of x^3	\int\:_{0}^{4}x^{3}dx
integral of-(x-3)^2	\int\:-(x-3)^{2}dx
derivative of y^2-2ycos(x)	\frac{d}{dx}(y^{2}-2y\cos(x))
area y=10x^4-10x^2,y=9x^2	area\:y=10x^{4}-10x^{2},y=9x^{2}
integral of sqrt(1+(cos(x))^2)	\int\:\sqrt{1+(\cos(x))^{2}}dx
integral from 0 to 2 of 3/(4x^2+5x+1)	\int\:_{0}^{2}\frac{3}{4x^{2}+5x+1}dx
(\partial)/(\partial x)({f}(x))	\frac{\partial\:}{\partial\:x}({f}(x))
integral of 1/((x-1)^3)	\int\:\frac{1}{(x-1)^{3}}dx
derivative of (x^3/(11))	\frac{d}{dx}(\frac{x^{3}}{11})
integral of sin^5(x)*cos(x)	\int\:\sin^{5}(x)\cdot\:\cos(x)dx
integral from-3 to 0 of x^2e^{x^3+27}	\int\:_{-3}^{0}x^{2}e^{x^{3}+27}dx
d/(dz)(z^2e^z)	\frac{d}{dz}(z^{2}e^{z})
maclaurin f(x)= 1/((1+x))	maclaurin\:f(x)=\frac{1}{(1+x)}
derivative of 4ln\|x-e^x\|	\frac{d}{dx}(4\ln\left\|x-e^{x}\right\|)
derivative of y=(cos(x))/(1-sin(x))	derivative\:y=\frac{\cos(x)}{1-\sin(x)}
derivative of y=cos(sqrt(sin(tan(9x))))	derivative\:y=\cos(\sqrt{\sin(\tan(9x))})
(\partial)/(\partial x)(4-x^2+xy-2y^2)	\frac{\partial\:}{\partial\:x}(4-x^{2}+xy-2y^{2})
tangent of x^2+y^2=29,(-5,2)	tangent\:x^{2}+y^{2}=29,(-5,2)
integral from 0 to 1 of (x^2)/(1+x^6)	\int\:_{0}^{1}\frac{x^{2}}{1+x^{6}}dx
integral of e^{-2ln(x)}	\int\:e^{-2\ln(x)}dx
(\partial)/(\partial x)(e^{xz}+xy)	\frac{\partial\:}{\partial\:x}(e^{xz}+xy)
(x^2+4)(dy)/(dx)=xy	(x^{2}+4)\frac{dy}{dx}=xy
(dy)/(dx)=xy+1	\frac{dy}{dx}=xy+1
2y(dy)/(dx)+6=y^2+6x	2y\frac{dy}{dx}+6=y^{2}+6x
tangent of f(x)= 4/x ,(2,2)	tangent\:f(x)=\frac{4}{x},(2,2)
limit as x approaches 3-of ((x+5))/(x-3)	\lim\:_{x\to\:3-}(\frac{(x+5)}{x-3})
d/(dl)(2pisqrt(l/({g)(l))})	\frac{d}{dl}(2π\sqrt{\frac{l}{{g}(l)}})
integral of (x^2+x-2)/(x^4+5x^2+4)	\int\:\frac{x^{2}+x-2}{x^{4}+5x^{2}+4}dx
derivative of (3+tan(x)^x)	\frac{d}{dx}((3+\tan(x))^{x})
(\partial)/(\partial x)(((t-y))/(8t+3y))	\frac{\partial\:}{\partial\:x}(\frac{(t-y)}{8t+3y})
y^{''}=1-2y^'	y^{\prime\:\prime\:}=1-2y^{\prime\:}
derivative of \sqrt[5]{t}	derivative\:\sqrt[5]{t}
integral of (\|x\|)/x	\int\:\frac{\left\|x\right\|}{x}dx
integral of (xarctan(x))/(sqrt(1+x^2))	\int\:\frac{x\arctan(x)}{\sqrt{1+x^{2}}}dx
laplacetransform cos^2(14t)	laplacetransform\:\cos^{2}(14t)
inverse oflaplace (s-1)/(s(s+4)+3)	inverselaplace\:\frac{s-1}{s(s+4)+3}
y^{''}+2y=0	y^{\prime\:\prime\:}+2y=0
limit as x approaches infinity of 10+3x	\lim\:_{x\to\:\infty\:}(10+3x)
derivative of (x-1/(x^2)^5)	\frac{d}{dx}((x-\frac{1}{x^{2}})^{5})

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