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Popular Calculus Problems

d/(dt)(1/t)	\frac{d}{dt}(\frac{1}{t})
derivative of 1/((x^2+x+1^3))	\frac{d}{dx}(\frac{1}{(x^{2}+x+1)^{3}})
area 2x+5,x^2+2x+1	area\:2x+5,x^{2}+2x+1
integral of 1/((x+6)(x+8))	\int\:\frac{1}{(x+6)(x+8)}dx
integral from 0 to 5 of 1/(x^{11/12)}	\int\:_{0}^{5}\frac{1}{x^{\frac{11}{12}}}dx
integral of-1/(sqrt(x))	\int\:-\frac{1}{\sqrt{x}}dx
derivative of ln(x^{13})	\frac{d}{dx}(\ln(x^{13}))
sum from n=1001 to infinity of 1/n	\sum\:_{n=1001}^{\infty\:}\frac{1}{n}
integral from 0 to 5 of x^3sqrt(x^2+25)	\int\:_{0}^{5}x^{3}\sqrt{x^{2}+25}dx
xy^'+(11+x)y=e^{-x}	xy^{\prime\:}+(11+x)y=e^{-x}
integral of (x^3)/(sqrt(x^2+36))	\int\:\frac{x^{3}}{\sqrt{x^{2}+36}}dx
derivative of-1/(2(x+2^{3/2)})	\frac{d}{dx}(-\frac{1}{2(x+2)^{\frac{3}{2}}})
(\partial)/(\partial x)(x^2+y^2-z)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-z)
integral of 3-1/3*(x-4)^2	\int\:3-\frac{1}{3}\cdot\:(x-4)^{2}dx
integral from 0 to 2 of (x^2-2)/(x+1)	\int\:_{0}^{2}\frac{x^{2}-2}{x+1}dx
y^'=(x^2y+y^3)/(x^3)	y^{\prime\:}=\frac{x^{2}y+y^{3}}{x^{3}}
limit as x approaches 0 of 3+x^2sin(1/x)	\lim\:_{x\to\:0}(3+x^{2}\sin(\frac{1}{x}))
slope of y= 1/(x-4),x=8	slope\:y=\frac{1}{x-4},x=8
slope of f(x)=(x^2)/(x+8)	slope\:f(x)=\frac{x^{2}}{x+8}
(dy)/(dx)+(5/x)y=-3x-4	\frac{dy}{dx}+(\frac{5}{x})y=-3x-4
y^'+5y=5-e^t	y^{\prime\:}+5y=5-e^{t}
tangent of 3x^2+6	tangent\:3x^{2}+6
tangent of f(x)=2x^3+6x^2-49x+24	tangent\:f(x)=2x^{3}+6x^{2}-49x+24
integral from-2.5 to 0 of e^{3x}	\int\:_{-2.5}^{0}e^{3x}dx
(\partial)/(\partial x)(2xy+x^3)	\frac{\partial\:}{\partial\:x}(2xy+x^{3})
8^'	8^{\prime\:}
integral of 8/(xln(3x))	\int\:\frac{8}{x\ln(3x)}dx
limit as x approaches-2 of 1/x	\lim\:_{x\to\:-2}(\frac{1}{x})
tangent of f(x)= 5/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{5}{\sqrt{x}},\at\:x=4
(log_{10}(x))^'	(\log_{10}(x))^{\prime\:}
tangent of 6-5x^3	tangent\:6-5x^{3}
area y=5x,x=5,y= 5/x ,x=0	area\:y=5x,x=5,y=\frac{5}{x},x=0
integral of tan^2(5x)	\int\:\tan^{2}(5x)dx
integral of bxe^{3xy}	\int\:bxe^{3xy}dy
derivative of 4/3 x	\frac{d}{dx}(\frac{4}{3}x)
integral of e^{3x}cos(8x)	\int\:e^{3x}\cos(8x)dx
integral from 0 to 1 of x^4e^{3x}	\int\:_{0}^{1}x^{4}e^{3x}dx
tangent of y=(e^x)/x ,(1,e)	tangent\:y=\frac{e^{x}}{x},(1,e)
derivative of 2/(sqrt(x))	derivative\:\frac{2}{\sqrt{x}}
integral of e^xsin(e^x)cos(e^x)	\int\:e^{x}\sin(e^{x})\cos(e^{x})dx
limit as x approaches 0 of ln(2x)	\lim\:_{x\to\:0}(\ln(2x))
derivative of 4+sqrt(x-7)	\frac{d}{dx}(4+\sqrt{x-7})
integral of csc(8x)	\int\:\csc(8x)dx
x^3y^'=y	x^{3}y^{\prime\:}=y
tangent of y=\sqrt[3]{x},(1,1)	tangent\:y=\sqrt[3]{x},(1,1)
(\partial)/(\partial x)(z-xy)	\frac{\partial\:}{\partial\:x}(z-xy)
integral of sin(5x)cos(2x)	\int\:\sin(5x)\cos(2x)dx
derivative of x^{0.4}y^{0.6}	\frac{d}{dx}(x^{0.4}y^{0.6})
derivative of ln(((1-2x))/2)	derivative\:\ln(\frac{(1-2x)}{2})
sum from n=1 to infinity of x^{n-1}	\sum\:_{n=1}^{\infty\:}x^{n-1}
area 1-x^2,0,2	area\:1-x^{2},0,2
limit as x approaches-1-of 5x+2p(x)	\lim\:_{x\to\:-1-}(5x+2p(x))
derivative of f(x)=(5^x)/(cos(x))	derivative\:f(x)=\frac{5^{x}}{\cos(x)}
derivative of f(x)=(x-3)(2x+1)	derivative\:f(x)=(x-3)(2x+1)
(\partial)/(\partial y)(sin(x)+cos(y))	\frac{\partial\:}{\partial\:y}(\sin(x)+\cos(y))
dx+1/(y^4)dy=0	dx+\frac{1}{y^{4}}dy=0
integral of sqrt(1+cos(pix))	\int\:\sqrt{1+\cos(πx)}dx
derivative of f(x)=cos(cos(x))	derivative\:f(x)=\cos(\cos(x))
derivative of ln(24x)	\frac{d}{dx}(\ln(24x))
integral of (1+cot^2(θ))(csc^2(θ))	\int\:(1+\cot^{2}(θ))(\csc^{2}(θ))dθ
y^{''}+2y^'+y=1	y^{\prime\:\prime\:}+2y^{\prime\:}+y=1
y^{''}-y^'+9y=3sin(3t)	y^{\prime\:\prime\:}-y^{\prime\:}+9y=3\sin(3t)
d/(dt)(t^2sqrt(t))	\frac{d}{dt}(t^{2}\sqrt{t})
(d^2)/(dx^2)((x^3+4)e^x)	\frac{d^{2}}{dx^{2}}((x^{3}+4)e^{x})
taylor ln(1+9x)	taylor\:\ln(1+9x)
integral of (x^5)/(sqrt(x^2+2))	\int\:\frac{x^{5}}{\sqrt{x^{2}+2}}dx
taylor ln(x)	taylor\:\ln(x)
taylor sin(x)2	taylor\:\sin(x)2
integral of e^{5x}sin(2x)	\int\:e^{5x}\sin(2x)dx
integral of x/(x(x^2+1))	\int\:\frac{x}{x(x^{2}+1)}dx
derivative of (e^x)/(7x^2)	derivative\:\frac{e^{x}}{7x^{2}}
(\partial)/(\partial x)((x+y)(2x+y)^2)	\frac{\partial\:}{\partial\:x}((x+y)(2x+y)^{2})
limit as x approaches+0 of (e^{-1x}-1)/x	\lim\:_{x\to\:+0}(\frac{e^{-1x}-1}{x})
derivative of y=x^{0.95}	derivative\:y=x^{0.95}
derivative of (\sqrt[3]{x})/(x-3)	derivative\:\frac{\sqrt[3]{x}}{x-3}
integral from 0 to 1 of y	\int\:_{0}^{1}ydy
limit as x approaches 0-of-1/x	\lim\:_{x\to\:0-}(-\frac{1}{x})
derivative of-(81/(x^4))	\frac{d}{dx}(-\frac{81}{x^{4}})
integral of sqrt(1+6x^{1/2)}	\int\:\sqrt{1+6x^{\frac{1}{2}}}dx
derivative of f(x)=x*sin(x)	derivative\:f(x)=x\cdot\:\sin(x)
f^'(x)=x^2-x	f^{\prime\:}(x)=x^{2}-x
inverse oflaplace 2+(4(s-4))/(s^2+16)	inverselaplace\:2+\frac{4(s-4)}{s^{2}+16}
derivative of-3sin(2x)	\frac{d}{dx}(-3\sin(2x))
sum from n=0 to infinity of 1/(2^{2^n)}	\sum\:_{n=0}^{\infty\:}\frac{1}{2^{2^{n}}}
(dz)/(dz)	\frac{dz}{dz}
integral of x/(sqrt(25-4x^2))	\int\:\frac{x}{\sqrt{25-4x^{2}}}dx
derivative of (x-4(x/2+1)^3)	\frac{d}{dx}((x-4)(\frac{x}{2}+1)^{3})
(\partial)/(\partial x)(7e^{xy+8})	\frac{\partial\:}{\partial\:x}(7e^{xy+8})
derivative of (x+1^3(x-1)^2)	\frac{d}{dx}((x+1)^{3}(x-1)^{2})
integral of e^{7x-5}	\int\:e^{7x-5}dx
derivative of sqrt(3u)	derivative\:\sqrt{3u}
tangent of f(x)=2x^2-3x+1,(2,3)	tangent\:f(x)=2x^{2}-3x+1,(2,3)
(\partial)/(\partial z)((xy)^z)	\frac{\partial\:}{\partial\:z}((xy)^{z})
derivative of (x-4/(7x^2e^x))	\frac{d}{dx}(\frac{x-4}{7x^{2}e^{x}})
limit as x approaches-1.3 of e^{3x+4}	\lim\:_{x\to\:-1.3}(e^{3x+4})
integral of (y^2+1)	\int\:(y^{2}+1)dy
limit as h approaches 0 of ((8^h-1))/h	\lim\:_{h\to\:0}(\frac{(8^{h}-1)}{h})
derivative of t^2-8t+19	derivative\:t^{2}-8t+19
(\partial)/(\partial x)((ln^'(x^2+5))/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{\ln^{\prime\:}(x^{2}+5)}{y^{2}})
(\partial)/(\partial z)(xyarcsin(yz))	\frac{\partial\:}{\partial\:z}(xy\arcsin(yz))

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