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Popular Calculus Problems

area f(x)=x-1,1,2	area\:f(x)=x-1,1,2
laplacetransform sin(5t-10)	laplacetransform\:\sin(5t-10)
integral from 2 to 5 of x^4	\int\:_{2}^{5}x^{4}dx
derivative of (2x^2+5)(4x-1)	derivative\:(2x^{2}+5)(4x-1)
y^'+4y=xe^{-4x}	y^{\prime\:}+4y=xe^{-4x}
integral from-1 to 2 of xe^{xy}	\int\:_{-1}^{2}xe^{xy}dy
derivative of 1+2e^x-3x	\frac{d}{dx}(1+2e^{x}-3x)
integral of 5x^7	\int\:5x^{7}dx
derivative of x^2+{z}(x(x)^2)	\frac{d}{dx}(x^{2}+{z}(x)(x)^{2})
derivative of csc^2(3x)	\frac{d}{dx}(\csc^{2}(3x))
integral of cos(x)(3+4sin^2(x))	\int\:\cos(x)(3+4\sin^{2}(x))dx
derivative of (3x-2y^2-(2x-3y)^2)	\frac{d}{dx}((3x-2y)^{2}-(2x-3y)^{2})
derivative of (7(1-sin(x)))/(2cos(x))	derivative\:\frac{7(1-\sin(x))}{2\cos(x)}
integral from 0 to 2pi of sin(2x)	\int\:_{0}^{2π}\sin(2x)dx
integral of (e^{2x+1})/2	\int\:\frac{e^{2x+1}}{2}dx
derivative of ln(x^2+y^2)	derivative\:\ln(x^{2}+y^{2})
derivative of e^{7-x}	\frac{d}{dx}(e^{7-x})
(d^2)/(dx^2)(9t^2-6t+3)	\frac{d^{2}}{dx^{2}}(9t^{2}-6t+3)
derivative of ln(tanh(x))	\frac{d}{dx}(\ln(\tanh(x)))
integral of 4cos^3(5x)	\int\:4\cos^{3}(5x)dx
(\partial)/(\partial y)(2sin(y^2))	\frac{\partial\:}{\partial\:y}(2\sin(y^{2}))
limit as x approaches 5 of (sin(x))/x	\lim\:_{x\to\:5}(\frac{\sin(x)}{x})
integral from 0 to 3 of (x+2)sqrt(x+1)	\int\:_{0}^{3}(x+2)\sqrt{x+1}dx
integral of (x^{14})/(x^5-1)	\int\:\frac{x^{14}}{x^{5}-1}dx
(\partial)/(\partial z)(e^{xyz})	\frac{\partial\:}{\partial\:z}(e^{xyz})
integral of (e^{3x}-4)^2	\int\:(e^{3x}-4)^{2}dx
derivative of x/(x^2+64)	derivative\:\frac{x}{x^{2}+64}
tangent of y=3x^3-x^2+9,(2,29)	tangent\:y=3x^{3}-x^{2}+9,(2,29)
integral of (x-1)sin(pix)	\int\:(x-1)\sin(πx)dx
integral of x^3sin(x^4)	\int\:x^{3}\sin(x^{4})dx
integral of 9x^5e^{8x^2}	\int\:9x^{5}e^{8x^{2}}dx
(\partial)/(\partial y)(x^3y^2)	\frac{\partial\:}{\partial\:y}(x^{3}y^{2})
integral of cos(3θ)	\int\:\cos(3θ)dθ
limit as x approaches-2 of (3x-6)/(x+2)	\lim\:_{x\to\:-2}(\frac{3x-6}{x+2})
derivative of (x^3/(2(x+1)^2))	\frac{d}{dx}(\frac{x^{3}}{2(x+1)^{2}})
slope of e^x	slope\:e^{x}
integral of (2x^3-6x^2-10x-6)/(x^2-1)	\int\:\frac{2x^{3}-6x^{2}-10x-6}{x^{2}-1}dx
3y^{''}-y^'+2y=0,y(0)=2,y^'(0)=0	3y^{\prime\:\prime\:}-y^{\prime\:}+2y=0,y(0)=2,y^{\prime\:}(0)=0
integral of (tan^3(4/z))/(z^2)	\int\:\frac{\tan^{3}(\frac{4}{z})}{z^{2}}dz
integral of 1/(e^{x/2)}	\int\:\frac{1}{e^{\frac{x}{2}}}dx
integral of (sin^5(2x))/(cos^2(2x))	\int\:\frac{\sin^{5}(2x)}{\cos^{2}(2x)}dx
d/(dy)(e^{2xy})	\frac{d}{dy}(e^{2xy})
integral of (x^3)/(sqrt(1-x^8))	\int\:\frac{x^{3}}{\sqrt{1-x^{8}}}dx
derivative of f(x)=3-4x	derivative\:f(x)=3-4x
derivative of y=4cos(x)	derivative\:y=4\cos(x)
(dy)/(dx)=(2x(y-1))/(x^2+1)	\frac{dy}{dx}=\frac{2x(y-1)}{x^{2}+1}
integral from 1 to 10 of xln(x)	\int\:_{1}^{10}x\ln(x)dx
limit as x approaches infinity of 3x-sqrt(9x^2+x)	\lim\:_{x\to\:\infty\:}(3x-\sqrt{9x^{2}+x})
integral of (3x-1)/(x^2+10x+28)	\int\:\frac{3x-1}{x^{2}+10x+28}dx
derivative of x^2sin^6(x)+xcos^{-3}(x)	derivative\:x^{2}\sin^{6}(x)+x\cos^{-3}(x)
derivative of (e^{2x}/(e^{2x)+1})	\frac{d}{dx}(\frac{e^{2x}}{e^{2x}+1})
d/(d{y)}(({y})/({y)+c/({y)}})	\frac{d}{d{y}}(\frac{{y}}{{y}+\frac{c}{{y}}})
integral of-7/(sqrt(x^2+16))	\int\:-\frac{7}{\sqrt{x^{2}+16}}dx
tangent of f(x)= 1/(2sqrt(x)),\at x=64	tangent\:f(x)=\frac{1}{2\sqrt{x}},\at\:x=64
derivative of cos(x+pi)	\frac{d}{dx}(\cos(x+π))
derivative of x^2+4x-5	\frac{d}{dx}(x^{2}+4x-5)
integral of sec^3(4x)tan(4x)	\int\:\sec^{3}(4x)\tan(4x)dx
integral of 1/(sqrt(5x))	\int\:\frac{1}{\sqrt{5x}}dx
integral from 0 to 2 of 2x^2e^{-2x}	\int\:_{0}^{2}2x^{2}e^{-2x}dx
derivative of ((2x^2+1^3)/(sqrt(x^2-1)))	\frac{d}{dx}(\frac{(2x^{2}+1)^{3}}{\sqrt{x^{2}-1}})
integral of 1/((1+9x^2)^{3/2)}	\int\:\frac{1}{(1+9x^{2})^{\frac{3}{2}}}dx
integral from 1 to 4 of-3e^{sqrt(x)}	\int\:_{1}^{4}-3e^{\sqrt{x}}dx
integral of 20sec(4x)tan(4x)	\int\:20\sec(4x)\tan(4x)dx
integral of (3x^2)/(sqrt(25-x^2))	\int\:\frac{3x^{2}}{\sqrt{25-x^{2}}}dx
limit as x approaches 7 of cos((pix)/3)	\lim\:_{x\to\:7}(\cos(\frac{πx}{3}))
derivative of y=sqrt(3x)	derivative\:y=\sqrt{3x}
limit as x approaches 3 of 2x^3+4x-2	\lim\:_{x\to\:3}(2x^{3}+4x-2)
derivative of 2ax	\frac{d}{dx}(2ax)
integral of (x+2y)	\int\:(x+2y)dy
θ^{''}=3θ	θ^{\prime\:\prime\:}=3θ
integral of (2u+1)^2	\int\:(2u+1)^{2}du
tangent of f(x)= x/(1+x^2),\at x=3	tangent\:f(x)=\frac{x}{1+x^{2}},\at\:x=3
taylor 5x^2+3x^4	taylor\:5x^{2}+3x^{4}
inverse oflaplace ((2))/((s-1)^2)	inverselaplace\:\frac{(2)}{(s-1)^{2}}
inverse oflaplace 2cos(5t)	inverselaplace\:2\cos(5t)
inverse oflaplace (s+2)^2	inverselaplace\:(s+2)^{2}
slope of y=5+5x^2-2x^3	slope\:y=5+5x^{2}-2x^{3}
(\partial)/(\partial x)(sqrt(x^2+y^2+2z^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{2}+2z^{2}})
(\partial)/(\partial x)(2xy+x)	\frac{\partial\:}{\partial\:x}(2xy+x)
(\partial)/(\partial x)(((1x,3y,4z))*(1,2,3))	\frac{\partial\:}{\partial\:x}(((1x,3y,4z))\cdot\:(1,2,3))
integral of sin^3(xco)s^{12}x	\int\:\sin^{3}(xco)s^{12}xdx
derivative of arcsin(2^x)	\frac{d}{dx}(\arcsin(2^{x}))
y^{''}-4y^'+4y=1	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=1
integral from 0 to infinity of e^{-st}	\int\:_{0}^{\infty\:}e^{-st}dt
derivative of y=(((3x^2))/(2x+4))^3	derivative\:y=(\frac{(3x^{2})}{2x+4})^{3}
xdy-ydx=(xy)^{1/2}dx	xdy-ydx=(xy)^{\frac{1}{2}}dx
tangent of f(x)=7cos(x),\at ((2pi)/3)	tangent\:f(x)=7\cos(x),\at\:(\frac{2π}{3})
limit as x approaches 1 of (2-x)/(x-1)	\lim\:_{x\to\:1}(\frac{2-x}{x-1})
derivative of x*2	\frac{d}{dx}(x\cdot\:2)
slope of (10.1)(5.2)	slope\:(10.1)(5.2)
integral of 1/(x^2-x)	\int\:\frac{1}{x^{2}-x}dx
derivative of 4s	derivative\:4s
(\partial ^2)/(\partial x\partial y)(xye^{-6y})	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(xye^{-6y})
sum from n=1 to infinity of 2/(n^2+n)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{2}+n}
limit as x approaches 0 of ((x-1)^3+1)/(h(x))	\lim\:_{x\to\:0}(\frac{(x-1)^{3}+1}{h(x)})
limit as x approaches+1 of xsin(1/x)	\lim\:_{x\to\:+1}(x\sin(\frac{1}{x}))
(\partial)/(\partial y)(y/(y+x))	\frac{\partial\:}{\partial\:y}(\frac{y}{y+x})
integral from-2 to 0 of x+2	\int\:_{-2}^{0}x+2dx
derivative of f(x)=2e^{2x}	derivative\:f(x)=2e^{2x}
x(dy)/(dx)=y+sqrt(x^2-y^2),x>0	x\frac{dy}{dx}=y+\sqrt{x^{2}-y^{2}},x>0

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