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Popular Calculus Problems

integral of e^{5x}cos(5x)	\int\:e^{5x}\cos(5x)dx
integral of x^2-16x	\int\:x^{2}-16xdx
laplacetransform t^2+6t-3	laplacetransform\:t^{2}+6t-3
tangent of f(x)=3-4x^2,-61,\at x=4	tangent\:f(x)=3-4x^{2},-61,\at\:x=4
sum from n=1 to infinity of arctan(n)	\sum\:_{n=1}^{\infty\:}\arctan(n)
integral of 2x^3+4	\int\:2x^{3}+4dx
inverse oflaplace (20)/(s(s^2+2s+5))	inverselaplace\:\frac{20}{s(s^{2}+2s+5)}
limit as x approaches 8-of (x+7)/(x+8)	\lim\:_{x\to\:8-}(\frac{x+7}{x+8})
integral of 1/(sqrt(4-(x-1)^2))	\int\:\frac{1}{\sqrt{4-(x-1)^{2}}}dx
(dy)/(dx)y=(5-x)^{633}	\frac{dy}{dx}y=(5-x)^{633}
integral from 0 to 2 of te^{-t}	\int\:_{0}^{2}te^{-t}dt
derivative of x/(x+11)	derivative\:\frac{x}{x+11}
y^{''}+y=(sin(x))^2	y^{\prime\:\prime\:}+y=(\sin(x))^{2}
integral of (cos(1/x))/(x^3)	\int\:\frac{\cos(\frac{1}{x})}{x^{3}}dx
y^'=3x-y	y^{\prime\:}=3x-y
y^'=(x^2y^4-x^2)/(y^3)	y^{\prime\:}=\frac{x^{2}y^{4}-x^{2}}{y^{3}}
limit as x approaches 0 of (x-1)/(x^2-x)	\lim\:_{x\to\:0}(\frac{x-1}{x^{2}-x})
inverse oflaplace ((35+16))/(s^2-s-6)	inverselaplace\:\frac{(35+16)}{s^{2}-s-6}
integral of 5/(x^2+9)	\int\:\frac{5}{x^{2}+9}dx
integral of x/(sin(x^2))	\int\:\frac{x}{\sin(x^{2})}dx
tangent of y=x^2-2x+1,(-1,4)	tangent\:y=x^{2}-2x+1,(-1,4)
(\partial)/(\partial x)(5^{8^{x^2}})	\frac{\partial\:}{\partial\:x}(5^{8^{x^{2}}})
integral of (e^x+1)*(x-4)	\int\:(e^{x}+1)\cdot\:(x-4)dx
(dy)/(dx)-1/x y=1-1/x	\frac{dy}{dx}-\frac{1}{x}y=1-\frac{1}{x}
derivative of f(x)=ln(\sqrt[8]{x})	derivative\:f(x)=\ln(\sqrt[8]{x})
tangent of f(x)=25-x^2,(5,0)	tangent\:f(x)=25-x^{2},(5,0)
derivative of (x+7)/(3x^2e^x)	derivative\:\frac{x+7}{3x^{2}e^{x}}
limit as x approaches 0 of ln(2/x)	\lim\:_{x\to\:0}(\ln(\frac{2}{x}))
y^'=(x+y+7)^2	y^{\prime\:}=(x+y+7)^{2}
integral of ((x^2))/(x^3+4)	\int\:\frac{(x^{2})}{x^{3}+4}dx
derivative of (8x^2+4x+6/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+4x+6}{\sqrt{x}})
laplacetransform 3(1+8e^{-t/2}-9e^{-t})	laplacetransform\:3(1+8e^{-\frac{t}{2}}-9e^{-t})
(dy)/(dx)=(7x)/(6y)	\frac{dy}{dx}=\frac{7x}{6y}
(\partial)/(\partial x)(4x^2-2xy+y^2z-y^3)	\frac{\partial\:}{\partial\:x}(4x^{2}-2xy+y^{2}z-y^{3})
integral of (3x^2)/(sqrt(3+x^2))	\int\:\frac{3x^{2}}{\sqrt{3+x^{2}}}dx
simplify 3/(2x+3y)	simplify\:\frac{3}{2x+3y}
tangent of f(x)=9x-2x^2	tangent\:f(x)=9x-2x^{2}
integral of 1/(2-(x-1)^2)	\int\:\frac{1}{2-(x-1)^{2}}dx
(dy)/(dx)=ky(1-y)	\frac{dy}{dx}=ky(1-y)
integral of (x^2-22)/(x^3-2x^2+x)	\int\:\frac{x^{2}-22}{x^{3}-2x^{2}+x}dx
derivative of x8^x	derivative\:x8^{x}
integral of 9e^{-9x}sin(9x)	\int\:9e^{-9x}\sin(9x)dx
limit as x approaches 1 of (x^3)/(x^2+1)	\lim\:_{x\to\:1}(\frac{x^{3}}{x^{2}+1})
(\partial)/(\partial y)(y^2-x^2-10)	\frac{\partial\:}{\partial\:y}(y^{2}-x^{2}-10)
area 5cos(2x),5-5cos(2x)	area\:5\cos(2x),5-5\cos(2x)
derivative of \sqrt[5]{t}+2sqrt(t^5)	derivative\:\sqrt[5]{t}+2\sqrt{t^{5}}
integral of (-1)/((x+1)^2)	\int\:\frac{-1}{(x+1)^{2}}dx
(\partial)/(\partial x)(e^{-8x^2-5y^2})	\frac{\partial\:}{\partial\:x}(e^{-8x^{2}-5y^{2}})
sum from n=0 to infinity of-1/(n+1)	\sum\:_{n=0}^{\infty\:}-\frac{1}{n+1}
integral of e^{3x}(sin(3x)+cos(3x))	\int\:e^{3x}(\sin(3x)+\cos(3x))dx
integral of (x^2-3/x)	\int\:(x^{2}-\frac{3}{x})dx
sum from n=0 to infinity of 1/(3n)	\sum\:_{n=0}^{\infty\:}\frac{1}{3n}
derivative of y=((3x-6))/((x^2+4))	derivative\:y=\frac{(3x-6)}{(x^{2}+4)}
implicit x^2+y^3=12	implicit\:x^{2}+y^{3}=12
derivative of 9e^x+5	\frac{d}{dx}(9e^{x}+5)
inverse oflaplace (16)/((s+4)^2)	inverselaplace\:\frac{16}{(s+4)^{2}}
(dy)/(dx)-5y=0	\frac{dy}{dx}-5y=0
integral of 1/(sin^2(u))	\int\:\frac{1}{\sin^{2}(u)}du
derivative of (1+x^k)	\frac{d}{dx}((1+x)^{k})
derivative of (5x^2/((x^2+x)^3))	\frac{d}{dx}(\frac{5x^{2}}{(x^{2}+x)^{3}})
slope of (-3,-1),(2,-2)	slope\:(-3,-1),(2,-2)
tangent of h(x)= 1/(x-2),(3,1)	tangent\:h(x)=\frac{1}{x-2},(3,1)
integral of (2xy)/((x^2+y^2)^2)	\int\:\frac{2xy}{(x^{2}+y^{2})^{2}}dx
integral of 4/(sqrt(x))	\int\:\frac{4}{\sqrt{x}}dx
(d^2)/(dx^2)({f}(x){g}(x))	\frac{d^{2}}{dx^{2}}({f}(x){g}(x))
integral of cos(2x)sin(2x)	\int\:\cos(2x)\sin(2x)dx
(dr)/(ds)=0.75r	\frac{dr}{ds}=0.75r
integral from 0 to pi of 9cos^6(x)	\int\:_{0}^{π}9\cos^{6}(x)dx
integral of sin(x^2-1)	\int\:\sin(x^{2}-1)dx
derivative of (e^x/(1-e^x))	\frac{d}{dx}(\frac{e^{x}}{1-e^{x}})
integral of (5x^2-x+17)/((x+2)(x^2+9))	\int\:\frac{5x^{2}-x+17}{(x+2)(x^{2}+9)}dx
(dy)/(dx)=e^{8x+y}	\frac{dy}{dx}=e^{8x+y}
derivative of f(x)=csc(sqrt(x+5))	derivative\:f(x)=\csc(\sqrt{x+5})
derivative of ln((5x+2/(5x-2)))	\frac{d}{dx}(\ln(\frac{5x+2}{5x-2}))
f(x)= 1/(3x+1)	f(x)=\frac{1}{3x+1}
y^'=te^{-y},y(0)=1	y^{\prime\:}=te^{-y},y(0)=1
integral from 0 to 1 of cos(2pix)	\int\:_{0}^{1}\cos(2πx)dx
limit as x approaches 3 of x-1	\lim\:_{x\to\:3}(x-1)
y^{''}+36y=-48sin(6t)	y^{\prime\:\prime\:}+36y=-48\sin(6t)
derivative of x^2+x-6	\frac{d}{dx}(x^{2}+x-6)
derivative of f(x)=(3x^2-4x)e^x	derivative\:f(x)=(3x^{2}-4x)e^{x}
derivative of (x-sqrt(x))(x+sqrt(x))	derivative\:(x-\sqrt{x})(x+\sqrt{x})
limit as x approaches 0 of (1-3/x)^x	\lim\:_{x\to\:0}((1-\frac{3}{x})^{x})
integral of 1/(r^2)	\int\:\frac{1}{r^{2}}dr
(\partial)/(\partial x)((sin(x))^2)	\frac{\partial\:}{\partial\:x}((\sin(x))^{2})
integral from-1 to 1 of (x-x^3)	\int\:_{-1}^{1}(x-x^{3})dx
(\partial)/(\partial x)(te^{(-x^2)/(2t)})	\frac{\partial\:}{\partial\:x}(te^{\frac{-x^{2}}{2t}})
limit as x approaches 0 of e^{8pi}	\lim\:_{x\to\:0}(e^{8π})
(\partial)/(\partial z)(2x+z^2)	\frac{\partial\:}{\partial\:z}(2x+z^{2})
limit as x approaches 0 of (x+h)^2-1	\lim\:_{x\to\:0}((x+h)^{2}-1)
integral of ln(2x-1)	\int\:\ln(2x-1)dx
derivative of 2x^3-3x	\frac{d}{dx}(2x^{3}-3x)
derivative of arcsin(y/(sqrt(x^2+y^2)))	\frac{d}{dx}(\arcsin(\frac{y}{\sqrt{x^{2}+y^{2}}}))
integral of (3x-4)/(x^2-2x)	\int\:\frac{3x-4}{x^{2}-2x}dx
integral of sqrt(3)x^2	\int\:\sqrt{3}x^{2}dx
integral of 4x^3-3x^2+5	\int\:4x^{3}-3x^{2}+5dx
integral of (3x^2y^{-2}+2xy^{-1})	\int\:(3x^{2}y^{-2}+2xy^{-1})dx
derivative of ((x+1(3x-7))/(3x+1))	\frac{d}{dx}(\frac{(x+1)(3x-7)}{3x+1})
integral from-2 to 2 of (x^2-2)^2	\int\:_{-2}^{2}(x^{2}-2)^{2}dx
derivative of 1-(1-0.01x^3)	\frac{d}{dx}(1-(1-0.01x)^{3})

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