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Popular Calculus Problems

limit as x approaches infinity of x(0)	\lim\:_{x\to\:\infty\:}(x(0))
area y^2-2x=7,y-x=4	area\:y^{2}-2x=7,y-x=4
derivative of y=2sin(pix-y)	derivative\:y=2\sin(πx-y)
integral from 1 to 4 of \|x-3\|	\int\:_{1}^{4}\left\|x-3\right\|dx
derivative of-x^2+4x-3	\frac{d}{dx}(-x^{2}+4x-3)
derivative of ln(1+1/(x^2))	\frac{d}{dx}(\ln(1+\frac{1}{x^{2}}))
slope of f(1)= 8/x-xsqrt(x)	slope\:f(1)=\frac{8}{x}-x\sqrt{x}
integral of sqrt(4x^2+7)	\int\:\sqrt{4x^{2}+7}dx
(\partial)/(\partial x)(4x^2sqrt(y^3-xz))	\frac{\partial\:}{\partial\:x}(4x^{2}\sqrt{y^{3}-xz})
sum from n=1 to infinity of (1+n)/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{1+n}{3^{n}}
integral of 8sin^2(x)	\int\:8\sin^{2}(x)dx
y=t^2sin(t)	y=t^{2}\sin(t)
integral of 1/(3x^2+2)	\int\:\frac{1}{3x^{2}+2}dx
derivative of 3*e^{3x}	\frac{d}{dx}(3\cdot\:e^{3x})
integral of x^2-5x+9	\int\:x^{2}-5x+9dx
laplacetransform 1+te^t	laplacetransform\:1+te^{t}
derivative of sin^2(x+y)	\frac{d}{dx}(\sin^{2}(x)+y)
laplacetransform 1-1(t)	laplacetransform\:1-1(t)
integral of t^3(3t^2-4)^{5/2}	\int\:t^{3}(3t^{2}-4)^{\frac{5}{2}}dt
integral from 6 to infinity of xe^{-4x}	\int\:_{6}^{\infty\:}xe^{-4x}dx
expand (3x^2+3x-1)^4	expand\:(3x^{2}+3x-1)^{4}
integral of sin(x/y)	\int\:\sin(\frac{x}{y})dx
(\partial)/(\partial x)(x^{8y})	\frac{\partial\:}{\partial\:x}(x^{8y})
derivative of (9ln(x))/x	derivative\:\frac{9\ln(x)}{x}
sum from n=1 to infinity of ln^n(3)	\sum\:_{n=1}^{\infty\:}\ln^{n}(3)
area y=4-x^2,x=-1,x=2,y=0	area\:y=4-x^{2},x=-1,x=2,y=0
derivative of 4-x	\frac{d}{dx}(4-x)
y^'=2xy^3	y^{\prime\:}=2xy^{3}
d/(dt)(cos(t)+1)	\frac{d}{dt}(\cos(t)+1)
(\partial)/(\partial x)(A^3(x/y)^2(1-x))	\frac{\partial\:}{\partial\:x}(A^{3}(\frac{x}{y})^{2}(1-x))
derivative of (x^2-9/(sqrt(x-3)))	\frac{d}{dx}(\frac{x^{2}-9}{\sqrt{x-3}})
derivative of e^x(-x^{2/3}-4/3 x^{-3/2})	\frac{d}{dx}(e^{x}(-x^{\frac{2}{3}}-\frac{4}{3}x^{-\frac{3}{2}}))
integral of x^2(x^3+2)^4	\int\:x^{2}(x^{3}+2)^{4}dx
integral from 0 to 1 of x(1-x)^2	\int\:_{0}^{1}x(1-x)^{2}dx
integral of te^{3t}	\int\:te^{3t}dt
limit as x approaches+(-2) of x^2-x+4	\lim\:_{x\to\:+(-2)}(x^{2}-x+4)
y^{''}-6y^'+9y=4te^{3t}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=4te^{3t}
derivative of f(x)=ln(9sin^2(x))	derivative\:f(x)=\ln(9\sin^{2}(x))
integral of (3x-1)/(x^2-4)	\int\:\frac{3x-1}{x^{2}-4}dx
laplacetransform-3(sin(4(t-(5pi)/4)))	laplacetransform\:-3(\sin(4(t-\frac{5π}{4})))
(\partial)/(\partial x)(1/(7+5x))	\frac{\partial\:}{\partial\:x}(\frac{1}{7+5x})
integral of (x^3+2)^2(3x^2)	\int\:(x^{3}+2)^{2}(3x^{2})dx
integral from 0 to 2 of-4x^3sqrt(x^2+4)	\int\:_{0}^{2}-4x^{3}\sqrt{x^{2}+4}dx
integral from 0 to 1/2 of x*cos(pix)	\int\:_{0}^{\frac{1}{2}}x\cdot\:\cos(πx)dx
derivative of-2/((x+1^3))	\frac{d}{dx}(-\frac{2}{(x+1)^{3}})
integral of \sqrt[7]{x}+\sqrt[8]{x}	\int\:\sqrt[7]{x}+\sqrt[8]{x}dx
integral of (2x)/(cos^2(2x))	\int\:\frac{2x}{\cos^{2}(2x)}dx
tangent of f(x)=-x^2	tangent\:f(x)=-x^{2}
y^'-6y=5	y^{\prime\:}-6y=5
integral of (5x-7)/((x^2-x-2)(x-3))	\int\:\frac{5x-7}{(x^{2}-x-2)(x-3)}dx
derivative of 6ln(x+11)	\frac{d}{dx}(6\ln(x)+11)
integral from-0.5 to 1 of cos(x^2)	\int\:_{-0.5}^{1}\cos(x^{2})dx
(dy)/(dx)= y/x+6x+7	\frac{dy}{dx}=\frac{y}{x}+6x+7
limit as x approaches 4 of (2x+8)/(x-4)	\lim\:_{x\to\:4}(\frac{2x+8}{x-4})
derivative of (e^x/(2x-1))	\frac{d}{dx}(\frac{e^{x}}{2x-1})
(d^2)/(dx^2)(2x(x+4)^3)	\frac{d^{2}}{dx^{2}}(2x(x+4)^{3})
derivative of (e^x-1/(2x))	\frac{d}{dx}(\frac{e^{x}-1}{2x})
integral of x/(e^7x)	\int\:\frac{x}{e^{7}x}dx
integral from 0 to pi/4 of 6tan^4(x)	\int\:_{0}^{\frac{π}{4}}6\tan^{4}(x)dx
derivative of x*arcsin(sqrt(x))	derivative\:x\cdot\:\arcsin(\sqrt{x})
laplacetransform f(x)=xe^{2x}sin(6x)	laplacetransform\:f(x)=xe^{2x}\sin(6x)
derivative of ln(sqrt(x^2-1))	\frac{d}{dx}(\ln(\sqrt{x^{2}-1}))
limit as x approaches 4 of x^2-16x-4	\lim\:_{x\to\:4}(x^{2}-16x-4)
integral of x/(sqrt(5+x^2))	\int\:\frac{x}{\sqrt{5+x^{2}}}dx
implicit (dy)/(dx),y=x^2sin(8x)	implicit\:\frac{dy}{dx},y=x^{2}\sin(8x)
integral of 1/(xsqrt(4-x^2))	\int\:\frac{1}{x\sqrt{4-x^{2}}}dx
integral of (cos^2(x))/(x^2)	\int\:\frac{\cos^{2}(x)}{x^{2}}dx
derivative of 9sec(x)-5x	derivative\:9\sec(x)-5x
(\partial)/(\partial y)(y^3cos(5x))	\frac{\partial\:}{\partial\:y}(y^{3}\cos(5x))
integral of (e^{3x})/(e^{3x)+4}	\int\:\frac{e^{3x}}{e^{3x}+4}dx
integral from ln(16) to ln(49) of e^{x/2}	\int\:_{\ln(16)}^{\ln(49)}e^{\frac{x}{2}}dx
integral of 1/(x^2+2x+17)	\int\:\frac{1}{x^{2}+2x+17}dx
taylor 1/(x-1),16	taylor\:\frac{1}{x-1},16
derivative of \|0\|	\frac{d}{dx}(\left\|0\right\|)
derivative of 1+6x	\frac{d}{dx}(1+6x)
derivative of \|2x\|	\frac{d}{dx}(\left\|2x\right\|)
derivative of (1+2x^{-1/2})	\frac{d}{dx}((1+2x)^{-\frac{1}{2}})
derivative of 10-3x	derivative\:10-3x
integral of (cos(θ)sin(θ))	\int\:(\cos(θ)\sin(θ))dθ
area y=x^2,y=9x	area\:y=x^{2},y=9x
derivative of (11/((2x+1)^2))	\frac{d}{dx}(\frac{11}{(2x+1)^{2}})
integral of (3*x+5)^{11}	\int\:(3\cdot\:x+5)^{11}dx
integral of (13-x)	\int\:(13-x)dx
partialfraction (x^2)/(2+x)	partialfraction\:\frac{x^{2}}{2+x}
derivative of f(x)=2x^3-4	derivative\:f(x)=2x^{3}-4
derivative of 2x+6/x	\frac{d}{dx}(2x+\frac{6}{x})
integral of x/(2x+1)	\int\:\frac{x}{2x+1}dx
integral of 1/(9+(x+1)^2)	\int\:\frac{1}{9+(x+1)^{2}}dx
derivative of-ln(cos(x))	derivative\:-\ln(\cos(x))
integral of x^5sqrt(x^3-1)	\int\:x^{5}\sqrt{x^{3}-1}dx
limit as x approaches 0 of (arctan(x)-x)/(8x^3)	\lim\:_{x\to\:0}(\frac{\arctan(x)-x}{8x^{3}})
integral of 2(sin(x)-cos(x)+x)	\int\:2(\sin(x)-\cos(x)+x)dx
limit as x approaches-2 of x^2-3x+5	\lim\:_{x\to\:-2}(x^{2}-3x+5)
integral from 2 to x of sqrt(1+t^2)	\int\:_{2}^{x}\sqrt{1+t^{2}}dt
derivative of y=(ax+b)^6	derivative\:y=(ax+b)^{6}
integral of 1/(x^2+16)	\int\:\frac{1}{x^{2}+16}dx
limit as z approaches-i of (im(z))/z	\lim\:_{z\to\:-i}(\frac{im(z)}{z})
derivative of 2/3 e^x	\frac{d}{dx}(\frac{2}{3}e^{x})
derivative of 100q+100	derivative\:100q+100
limit as h approaches 0 of (((x+h)-x))/h	\lim\:_{h\to\:0}(\frac{((x+h)-x)}{h})

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