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Popular Calculus Problems

integral of 3/(\sqrt[3]{x)}	\int\:\frac{3}{\sqrt[3]{x}}dx
d/(dt)(-3e^{-3t})	\frac{d}{dt}(-3e^{-3t})
simplify 4sin(x+pi/3)-1	simplify\:4\sin(x+\frac{π}{3})-1
(\partial)/(\partial y)(1+2xsqrt(y))	\frac{\partial\:}{\partial\:y}(1+2x\sqrt{y})
derivative of 1-e^{3x^2}	derivative\:1-e^{3x^{2}}
(\partial)/(\partial x)(\sqrt[3]{x^3+y^3})	\frac{\partial\:}{\partial\:x}(\sqrt[3]{x^{3}+y^{3}})
x(dy)/(dx)=y+sqrt(x^2-y^2)	x\frac{dy}{dx}=y+\sqrt{x^{2}-y^{2}}
inverse oflaplace (2s^2)/(s^4-1)	inverselaplace\:\frac{2s^{2}}{s^{4}-1}
integral from 0 to 1 of 2x(x^2+1)^2	\int\:_{0}^{1}2x(x^{2}+1)^{2}dx
derivative of f(x)= 6/(x^2)	derivative\:f(x)=\frac{6}{x^{2}}
taylor sqrt(x),64	taylor\:\sqrt{x},64
integral of+x/(sqrt(3-x^4))	\int\:+\frac{x}{\sqrt{3-x^{4}}}dx
y^{''}-4y^'+4y=0,y(0)=1,y^'(0)=1	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0,y(0)=1,y^{\prime\:}(0)=1
(\partial)/(\partial x)(x^2+xy^2+y^2)	\frac{\partial\:}{\partial\:x}(x^{2}+xy^{2}+y^{2})
integral from 0 to 1 of (x^2+8)(e^{-x})	\int\:_{0}^{1}(x^{2}+8)(e^{-x})dx
limit as x approaches 2-of (x-3)/(x-2)	\lim\:_{x\to\:2-}(\frac{x-3}{x-2})
integral of (e^x)/(e^x-1)	\int\:\frac{e^{x}}{e^{x}-1}dx
integral from 1 to 2 of (x-1/x)	\int\:_{1}^{2}(x-\frac{1}{x})dx
integral from 2 to 5 of (ln(x^5))/x	\int\:_{2}^{5}\frac{\ln(x^{5})}{x}dx
taylor (1+x)^{1/3}	taylor\:(1+x)^{\frac{1}{3}}
integral of 5e^{2x}	\int\:5e^{2x}dx
y^{''}+9y=te^{3t}	y^{\prime\:\prime\:}+9y=te^{3t}
y^'-y=8e^x+18e^{4x}	y^{\prime\:}-y=8e^{x}+18e^{4x}
integral of 4sec^2(x)tan(x)	\int\:4\sec^{2}(x)\tan(x)dx
derivative of \sqrt[4]{(4x/(6x-5)})	\frac{d}{dx}(\sqrt[4]{\frac{4x}{6x-5}})
derivative of f(x)=x^3-2	derivative\:f(x)=x^{3}-2
derivative of log_{4}(x^2-7x)	\frac{d}{dx}(\log_{4}(x^{2}-7x))
integral of sqrt(x^2+9)	\int\:\sqrt{x^{2}+9}dx
y^'-2ty=9t^2e^{t^2}	y^{\prime\:}-2ty=9t^{2}e^{t^{2}}
(\partial)/(\partial x)(xsin(x^2y))	\frac{\partial\:}{\partial\:x}(x\sin(x^{2}y))
y^8-(x^4sqrt(y^9+4))/(sqrt(x^5+4)y^')=0	y^{8}-\frac{x^{4}\sqrt{y^{9}+4}}{\sqrt{x^{5}+4}y^{\prime\:}}=0
integral from 0 to 1 of sqrt(1+4x^2)	\int\:_{0}^{1}\sqrt{1+4x^{2}}dx
derivative of (3x-2)/(2x+1)	derivative\:\frac{3x-2}{2x+1}
derivative of f(x)=e^{tan(θ)}	derivative\:f(x)=e^{\tan(θ)}
(dy)/(dθ)=sin(θ)	\frac{dy}{dθ}=\sin(θ)
integral of xe^{xy}+2xy+1/x	\int\:xe^{xy}+2xy+\frac{1}{x}
limit as x approaches-2 of ((x-2))/(x+2)	\lim\:_{x\to\:-2}(\frac{(x-2)}{x+2})
integral from-3 to 5 of (1+4x)	\int\:_{-3}^{5}(1+4x)dx
integral of sin(x)sin(x)	\int\:\sin(x)\sin(x)dx
tangent of y=ln(x^2),\at x=4	tangent\:y=\ln(x^{2}),\at\:x=4
(\partial)/(\partial y)(1/(xy^2-x^2y))	\frac{\partial\:}{\partial\:y}(\frac{1}{xy^{2}-x^{2}y})
integral of x/(3+x^2)	\int\:\frac{x}{3+x^{2}}dx
xy^'-2y=x^3	xy^{\prime\:}-2y=x^{3}
area y=sqrt(x-1),y=0,x=9	area\:y=\sqrt{x-1},y=0,x=9
derivative of sqrt(x)-2\sqrt[3]{x}	derivative\:\sqrt{x}-2\sqrt[3]{x}
limit as h approaches 1 of (e^{-h}-1)/h	\lim\:_{h\to\:1}(\frac{e^{-h}-1}{h})
roots sqrt(a^2+x^2)	roots\:\sqrt{a^{2}+x^{2}}
limit as x approaches 3 of x^2-3	\lim\:_{x\to\:3}(x^{2}-3)
derivative of (x-1cos(x))	\frac{d}{dx}((x-1)\cos(x))
derivative of xdx	\frac{d}{dx}(xdx)
integral of e^x(e^x+1)^2	\int\:e^{x}(e^{x}+1)^{2}dx
y^{''}+9y=sec(3x^{18}x)-36	y^{\prime\:\prime\:}+9y=\sec(3x^{18}x)-36
integral of 5^t	\int\:5^{t}dt
integral of 1/(u^2+xu)	\int\:\frac{1}{u^{2}+xu}du
integral from 0 to 1 of 1-2x-3x^2	\int\:_{0}^{1}1-2x-3x^{2}dx
(dy)/(dx)y=(4x-7)^2	\frac{dy}{dx}y=(4x-7)^{2}
slope of (7,5),(3,2)	slope\:(7,5),(3,2)
limit as x approaches 0 of (1-cos(ax))/(x^2)	\lim\:_{x\to\:0}(\frac{1-\cos(ax)}{x^{2}})
derivative of sin^3(x/3)	\frac{d}{dx}(\sin^{3}(\frac{x}{3}))
integral of (sqrt(x))/(x+2)	\int\:\frac{\sqrt{x}}{x+2}dx
sum from n=1 to infinity of (n!)/(2n!)	\sum\:_{n=1}^{\infty\:}\frac{n!}{2n!}
derivative of 2/(x^5)	\frac{d}{dx}(\frac{2}{x^{5}})
derivative of f(x)2z(9z^2-3z+1)^4	derivative\:f(x)2z(9z^{2}-3z+1)^{4}
integral from pi/6 to pi of sin(θ)	\int\:_{\frac{π}{6}}^{π}\sin(θ)dθ
integral of 8/(cos(x)-1)	\int\:\frac{8}{\cos(x)-1}dx
area y=x^3,x=-2,x=2	area\:y=x^{3},x=-2,x=2
limit as x approaches 3 of (x^2+4)/(x-5)	\lim\:_{x\to\:3}(\frac{x^{2}+4}{x-5})
derivative of sqrt(13x)	derivative\:\sqrt{13x}
derivative of (7x^3-5^9)	\frac{d}{dx}((7x^{3}-5)^{9})
derivative of f(x)=(2csc(x))/x	derivative\:f(x)=\frac{2\csc(x)}{x}
integral from 6 to 7 of 1/20+x/(40)	\int\:_{6}^{7}\frac{1}{20}+\frac{x}{40}dx
integral of 1/(2+9x)	\int\:\frac{1}{2+9x}dx
limit as x approaches 0 of 2x*cot(3x)	\lim\:_{x\to\:0}(2x\cdot\:\cot(3x))
(d^3)/(dx^3)(sqrt(4t+8))	\frac{d^{3}}{dx^{3}}(\sqrt{4t+8})
integral of 5/(sqrt(x^2+4x+13))	\int\:\frac{5}{\sqrt{x^{2}+4x+13}}dx
integral of (6t^3-4t^2+24t)/(t^2+4)	\int\:\frac{6t^{3}-4t^{2}+24t}{t^{2}+4}dt
derivative of e^{4x}ln(y)	\frac{d}{dx}(e^{4x}\ln(y))
tangent of f(x)=2x^3-9x^2-60x-2	tangent\:f(x)=2x^{3}-9x^{2}-60x-2
integral of (x/(x^2+1))	\int\:(\frac{x}{x^{2}+1})dx
integral of csc^2(8θ)cot(8θ)	\int\:\csc^{2}(8θ)\cot(8θ)dθ
derivative of f(θ)=cos(θ^2)	derivative\:f(θ)=\cos(θ^{2})
integral from 0 to 1 of x^2sin(npix)	\int\:_{0}^{1}x^{2}\sin(nπx)dx
integral of tan^2(3x-1)	\int\:\tan^{2}(3x-1)dx
integral of 5x^{-6/7}	\int\:5x^{-\frac{6}{7}}dx
limit as x approaches 3 of (x-2)/(6-2x)	\lim\:_{x\to\:3}(\frac{x-2}{6-2x})
derivative of y= 1/(cos(x/2))	derivative\:y=\frac{1}{\cos(\frac{x}{2})}
integral of 216x^2cos(6x)	\int\:216x^{2}\cos(6x)dx
(\partial)/(\partial y)(x^{2/3}y^{1/3})	\frac{\partial\:}{\partial\:y}(x^{\frac{2}{3}}y^{\frac{1}{3}})
limit as x approaches 3 of-3/7 x+4/11	\lim\:_{x\to\:3}(-\frac{3}{7}x+\frac{4}{11})
derivative of x^2e^x-2xe^x+2e^x	derivative\:x^{2}e^{x}-2xe^{x}+2e^{x}
y^{''}-10y^'+26y=4	y^{\prime\:\prime\:}-10y^{\prime\:}+26y=4
integral of 4/(4x^2+4x+65)	\int\:\frac{4}{4x^{2}+4x+65}dx
integral from 0 to 2 of sqrt(9x+19)	\int\:_{0}^{2}\sqrt{9x+19}dx
(dy)/(dx)(x^2+1)+7x(y-1)=0,y(0)=4	\frac{dy}{dx}(x^{2}+1)+7x(y-1)=0,y(0)=4
integral of (x^2)/(sqrt(x^2+9))	\int\:\frac{x^{2}}{\sqrt{x^{2}+9}}dx
(\partial)/(\partial y)(y^2z)	\frac{\partial\:}{\partial\:y}(y^{2}z)
integral of (3x^3+4x)/((x^2+1)^2)	\int\:\frac{3x^{3}+4x}{(x^{2}+1)^{2}}dx
integral of p^4e^{-p}	\int\:p^{4}e^{-p}dp
limit as x approaches-1 of x^3-2x^2+x-3	\lim\:_{x\to\:-1}(x^{3}-2x^{2}+x-3)
integral from 0 to x of sqrt(1+81/4 t)	\int\:_{0}^{x}\sqrt{1+\frac{81}{4}t}dt

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