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Popular Calculus Problems

sum from n=1 to infinity of-5/n	\sum\:_{n=1}^{\infty\:}-\frac{5}{n}
integral of sqrt(7x+6)	\int\:\sqrt{7x+6}dx
derivative of sqrt(xy)	derivative\:\sqrt{xy}
inverse oflaplace (s-30)/(s(s^2+4s+29))	inverselaplace\:\frac{s-30}{s(s^{2}+4s+29)}
integral of x^4	\int\:x^{4}dx
derivative of y=5x^3-4x^2+3x-6	derivative\:y=5x^{3}-4x^{2}+3x-6
(\partial)/(\partial x)(2xyarcsin(yz))	\frac{\partial\:}{\partial\:x}(2xy\arcsin(yz))
derivative of 1/(2x)+2x	derivative\:\frac{1}{2x}+2x
derivative of f(x)=(x+2)^{x^2-2x+1}	derivative\:f(x)=(x+2)^{x^{2}-2x+1}
derivative of 2\sqrt[3]{x}-7/(sqrt(x))	\frac{d}{dx}(2\sqrt[3]{x}-\frac{7}{\sqrt{x}})
integral from 3 to 5 of x/(x^2-2)	\int\:_{3}^{5}\frac{x}{x^{2}-2}dx
integral of (2x+2)/(x^2+2x-1)	\int\:\frac{2x+2}{x^{2}+2x-1}dx
integral of 4x^2sin(pix)	\int\:4x^{2}\sin(πx)dx
(\partial)/(\partial x)(ln(2x^2y))	\frac{\partial\:}{\partial\:x}(\ln(2x^{2}y))
integral of 2/(1+x^2)-4/x	\int\:\frac{2}{1+x^{2}}-\frac{4}{x}dx
derivative of y=sqrt(25-x^2)	derivative\:y=\sqrt{25-x^{2}}
taylor sqrt(x+1),0	taylor\:\sqrt{x+1},0
integral of ke^x	\int\:ke^{x}dx
sum from n=1 to infinity of n*e^{-n^2}	\sum\:_{n=1}^{\infty\:}n\cdot\:e^{-n^{2}}
(\partial)/(\partial x)((y+1)^2)	\frac{\partial\:}{\partial\:x}((y+1)^{2})
f(y)=2sqrt(4-y)	f(y)=2\sqrt{4-y}
limit as x approaches 9 of (\|9-x\|)/(9-x)	\lim\:_{x\to\:9}(\frac{\left\|9-x\right\|}{9-x})
limit as x approaches infinity of 0.2^x	\lim\:_{x\to\:\infty\:}(0.2^{x})
integral of (x-1/(2x))^2	\int\:(x-\frac{1}{2x})^{2}dx
integral from 0 to pi/2 of-10cos^5(x)	\int\:_{0}^{\frac{π}{2}}-10\cos^{5}(x)dx
(\partial)/(\partial x)((2y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{2y}{x^{2}+y^{2}})
integral from-3 to 4 of 1/x	\int\:_{-3}^{4}\frac{1}{x}dx
11y^{''}+12y^'+96y=5cos(4t)	11y^{\prime\:\prime\:}+12y^{\prime\:}+96y=5\cos(4t)
(\partial)/(\partial y)(x^2sin(4y))	\frac{\partial\:}{\partial\:y}(x^{2}\sin(4y))
(\partial)/(\partial z)(ln(x^2+y^2)-z)	\frac{\partial\:}{\partial\:z}(\ln(x^{2}+y^{2})-z)
sum from n=0 to infinity of 2n+1	\sum\:_{n=0}^{\infty\:}2n+1
integral of 39sec^4(x)	\int\:39\sec^{4}(x)dx
y^'=(t+y)^2-1,y(2)=5	y^{\prime\:}=(t+y)^{2}-1,y(2)=5
tangent of f(x)= 1/(sqrt(5-x)),\at x=0	tangent\:f(x)=\frac{1}{\sqrt{5-x}},\at\:x=0
slope of y=x^3-14x	slope\:y=x^{3}-14x
derivative of (x^3-6x(2-4x^3))	\frac{d}{dx}((x^{3}-6x)(2-4x^{3}))
integral of x(b-x)^2	\int\:x(b-x)^{2}dx
integral of ((ln(x))^{3/2})/x	\int\:\frac{(\ln(x))^{\frac{3}{2}}}{x}dx
integral of y/(3+y^2)	\int\:\frac{y}{3+y^{2}}dy
integral of 1/(sqrt(w))	\int\:\frac{1}{\sqrt{w}}dw
integral of 1/(u^2-a^2)	\int\:\frac{1}{u^{2}-a^{2}}du
integral of 1/(\sqrt[3]{(1+2x)^2)}	\int\:\frac{1}{\sqrt[3]{(1+2x)^{2}}}dx
integral from-3 to 3 of-sqrt(9-x^2)	\int\:_{-3}^{3}-\sqrt{9-x^{2}}dx
integral of (x-3)^{-1}	\int\:(x-3)^{-1}dx
integral of (sqrt(1+x^8))/(x^{13)}	\int\:\frac{\sqrt{1+x^{8}}}{x^{13}}dx
tangent of sqrt(1-6x),\at x=-1	tangent\:\sqrt{1-6x},\at\:x=-1
inverse oflaplace-2/((s+2)^2)	inverselaplace\:-\frac{2}{(s+2)^{2}}
integral of sin(3)	\int\:\sin(3)
integral of 18x^8-25x^4+3x^2	\int\:18x^{8}-25x^{4}+3x^{2}dx
limit as x approaches infinity of 5x+6	\lim\:_{x\to\:\infty\:}(5x+6)
integral of 4e^{-x}	\int\:4e^{-x}dx
integral of sex	\int\:sexdx
(\partial)/(\partial x)(y/(sqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{y}{\sqrt{x}})
integral from-pi to pi of cos(2x)	\int\:_{-π}^{π}\cos(2x)dx
derivative of 2xe^x-1/(sqrt(x))	\frac{d}{dx}(2xe^{x}-\frac{1}{\sqrt{x}})
integral of (21)/(1-cos(3x))	\int\:\frac{21}{1-\cos(3x)}dx
derivative of cot(2x^4-3x^2-4)	\frac{d}{dx}(\cot(2x^{4}-3x^{2}-4))
x(dy)/(dx)+4y=x^3-x	x\frac{dy}{dx}+4y=x^{3}-x
integral of 2sqrt(tan(x))sec^4(x)	\int\:2\sqrt{\tan(x)}\sec^{4}(x)dx
derivative of 8xe^x	derivative\:8xe^{x}
integral of (sqrt(x))/(sqrt(x)-7)	\int\:\frac{\sqrt{x}}{\sqrt{x}-7}dx
derivative of x^3-3x+1	derivative\:x^{3}-3x+1
integral of (3x^2)/(x^3+7)	\int\:\frac{3x^{2}}{x^{3}+7}dx
(\partial)/(\partial x)(ln(cos(x)))	\frac{\partial\:}{\partial\:x}(\ln(\cos(x)))
derivative of ((x^2))/(x^2+27)	derivative\:\frac{(x^{2})}{x^{2}+27}
derivative of (cos(x)/(log_{3)(x)})	\frac{d}{dx}(\frac{\cos(x)}{\log_{3}(x)})
integral of x/(sqrt(4x^2+5))	\int\:\frac{x}{\sqrt{4x^{2}+5}}dx
(\partial)/(\partial x)((rx(K(r,x)-x))/(K(r,x)+ax))	\frac{\partial\:}{\partial\:x}(\frac{rx(K(r,x)-x)}{K(r,x)+ax})
f(x)=3x^2+1	f(x)=3x^{2}+1
y^'=((4t+y))/(4y-t)	y^{\prime\:}=\frac{(4t+y)}{4y-t}
derivative of 5sqrt(3x^3+x)	derivative\:5\sqrt{3x^{3}+x}
derivative of (e^{1/x})/(x^3)	derivative\:\frac{e^{\frac{1}{x}}}{x^{3}}
tangent of f(x)=sqrt(x+1),(3,2)	tangent\:f(x)=\sqrt{x+1},(3,2)
integral of Ce^{-at}	\int\:Ce^{-at}dt
derivative of f(x)= 6/(x^4)	derivative\:f(x)=\frac{6}{x^{4}}
y^'=(x+2y)/x	y^{\prime\:}=\frac{x+2y}{x}
integral of e^{-ln(x)}	\int\:e^{-\ln(x)}dx
integral of 1/(\sqrt[9]{x)}	\int\:\frac{1}{\sqrt[9]{x}}dx
area x=y^2,x=y+2	area\:x=y^{2},x=y+2
y^'=e^{(3x+2y)}	y^{\prime\:}=e^{(3x+2y)}
(\partial)/(\partial x)((x^4+3x^2)*(1-5x))	\frac{\partial\:}{\partial\:x}((x^{4}+3x^{2})\cdot\:(1-5x))
integral of (e^x)/((7-e^x)^2)	\int\:\frac{e^{x}}{(7-e^{x})^{2}}dx
derivative of (2csc(x)/(3^x))	\frac{d}{dx}(\frac{2\csc(x)}{3^{x}})
f(x)=-sin(x)	f(x)=-\sin(x)
integral of sin((pix)/(12))	\int\:\sin(\frac{πx}{12})dx
derivative of (5x^3+5x^2/x)	\frac{d}{dx}(\frac{5x^{3}+5x^{2}}{x})
(\partial)/(\partial x)(x^3-3x+3xy^2)	\frac{\partial\:}{\partial\:x}(x^{3}-3x+3xy^{2})
derivative of x^2sqrt(25-x^2)	derivative\:x^{2}\sqrt{25-x^{2}}
laplacetransform sin(2t+pi/4)	laplacetransform\:\sin(2t+\frac{π}{4})
integral of (5x+2)	\int\:(5x+2)dx
y^{''}+8y^'+32y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+8y^{\prime\:}+32y=0,y(0)=0,y^{\prime\:}(0)=0
integral of (-x)/(sqrt(1-x^2))	\int\:\frac{-x}{\sqrt{1-x^{2}}}dx
derivative of cxe^{-2x}	\frac{d}{dx}(cxe^{-2x})
derivative of (2sin(x)/x)	\frac{d}{dx}(\frac{2\sin(x)}{x})
limit as x approaches 2 of (x^2-4)/(sqrt(x^2-3-1))	\lim\:_{x\to\:2}(\frac{x^{2}-4}{\sqrt{x^{2}-3-1}})
(\partial)/(\partial z)(yz^2)	\frac{\partial\:}{\partial\:z}(yz^{2})
(\partial)/(\partial x)(ln(x*y))	\frac{\partial\:}{\partial\:x}(\ln(x\cdot\:y))
taylor X^{9/6},8,5	taylor\:X^{\frac{9}{6}},8,5
integral of ((8x-3))/(x^2+x+1)	\int\:\frac{(8x-3)}{x^{2}+x+1}dx
sum from n=1 to infinity of 2^n-3	\sum\:_{n=1}^{\infty\:}2^{n}-3

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