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Popular Calculus Problems

integral of (y-1)	\int\:(y-1)dy
integral of-0.5y	\int\:-0.5ydy
integral of (10\sqrt[3]{x^2})	\int\:(10\sqrt[3]{x^{2}})dx
(\partial)/(\partial x)(xe^{4x})	\frac{\partial\:}{\partial\:x}(xe^{4x})
area 2x=y,x+y=4,x+y=12	area\:2x=y,x+y=4,x+y=12
integral of ((3x^2+2x-3))/(x^3-x)	\int\:\frac{(3x^{2}+2x-3)}{x^{3}-x}dx
derivative of t^2e^{-t}+(ln(t))^2	derivative\:t^{2}e^{-t}+(\ln(t))^{2}
area y=x^2,y= 2/(x^2+1)	area\:y=x^{2},y=\frac{2}{x^{2}+1}
limit as x approaches 1-of x^3-7+m	\lim\:_{x\to\:1-}(x^{3}-7+m)
derivative of f(x)= 3/(2x+5)	derivative\:f(x)=\frac{3}{2x+5}
y^'=2y+sin(2t)	y^{\prime\:}=2y+\sin(2t)
(\partial)/(\partial x)(e^{-(x^3+y^3)})	\frac{\partial\:}{\partial\:x}(e^{-(x^{3}+y^{3})})
(\partial)/(\partial x)(x^3+y^3-5xy)	\frac{\partial\:}{\partial\:x}(x^{3}+y^{3}-5xy)
derivative of (4+x/(1-4x))	\frac{d}{dx}(\frac{4+x}{1-4x})
tangent of f(x)=x^3-5x+3,\at x=3	tangent\:f(x)=x^{3}-5x+3,\at\:x=3
derivative of f(x)=(-x^2-4)^2	derivative\:f(x)=(-x^{2}-4)^{2}
derivative of 3x^2-1/24 ln(x)	\frac{d}{dx}(3x^{2}-\frac{1}{24}\ln(x))
integral of 1/(x^2+4x+20)	\int\:\frac{1}{x^{2}+4x+20}dx
limit as x approaches 1 of e^{sqrt(x)}	\lim\:_{x\to\:1}(e^{\sqrt{x}})
limit as x approaches 5 of x^{-1}	\lim\:_{x\to\:5}(x^{-1})
derivative of 2x-4sin(x)	\frac{d}{dx}(2x-4\sin(x))
derivative of Ax^n+Be^x	derivative\:Ax^{n}+Be^{x}
derivative of (x^2/(x-3))	\frac{d}{dx}(\frac{x^{2}}{x-3})
derivative of (6x+5)(x^2-3x)	derivative\:(6x+5)(x^{2}-3x)
integral of 9x^5	\int\:9x^{5}dx
integral of sin(r^2)	\int\:\sin(r^{2})dr
integral of cos(2pit)	\int\:\cos(2πt)dt
integral of (e^x)/(sqrt(9-e^{2x))}	\int\:\frac{e^{x}}{\sqrt{9-e^{2x}}}dx
(\partial)/(\partial u)(sqrt(u^5+v^7))	\frac{\partial\:}{\partial\:u}(\sqrt{u^{5}+v^{7}})
(\partial)/(\partial x)(sqrt(y^2+16))	\frac{\partial\:}{\partial\:x}(\sqrt{y^{2}+16})
derivative of (x+1/(x+5))	\frac{d}{dx}(\frac{x+1}{x+5})
y^{''}-8y^'+25y=208sin(3x)	y^{\prime\:\prime\:}-8y^{\prime\:}+25y=208\sin(3x)
y^'=(2xy)/(x^2-y^2)	y^{\prime\:}=\frac{2xy}{x^{2}-y^{2}}
area 4x=4y-y^2,4x-y=0	area\:4x=4y-y^{2},4x-y=0
integral of 1/(x^2sqrt(7+x^2))	\int\:\frac{1}{x^{2}\sqrt{7+x^{2}}}dx
derivative of f(x)=e^{7x}cos(10x)	derivative\:f(x)=e^{7x}\cos(10x)
(dy)/(dx)=xe^{x^2}	\frac{dy}{dx}=xe^{x^{2}}
integral from-1 to 1 of x^2(1.5x^2)	\int\:_{-1}^{1}x^{2}(1.5x^{2})dx
derivative of sqrt(a*t)(8-a)+8a	derivative\:\sqrt{a\cdot\:t}(8-a)+8a
integral of (xln(x^2+1)+(x^2+1)y)	\int\:(x\ln(x^{2}+1)+(x^{2}+1)y)dx
d/(dX)(800X-200)	\frac{d}{dX}(800X-200)
integral of 1/2 (3x-3)^8	\int\:\frac{1}{2}(3x-3)^{8}dx
integral from 0 to pi of x^3sin(x)	\int\:_{0}^{π}x^{3}\sin(x)dx
integral of (1-x^2-y^2)	\int\:(1-x^{2}-y^{2})dy
limit as x approaches-3-of (\|x-3\|)/(x-3)	\lim\:_{x\to\:-3-}(\frac{\left\|x-3\right\|}{x-3})
derivative of 2x^3+4	\frac{d}{dx}(2x^{3}+4)
integral of x+1/(x^2+1)	\int\:x+\frac{1}{x^{2}+1}dx
derivative of e^x(x-3)	\frac{d}{dx}(e^{x}(x-3))
integral of 8(tan^2(x)+tan^4(x))	\int\:8(\tan^{2}(x)+\tan^{4}(x))dx
area sqrt(x), 1/2 x,9	area\:\sqrt{x},\frac{1}{2}x,9
limit as x approaches-1+of 2x^3-2m	\lim\:_{x\to\:-1+}(2x^{3}-2m)
derivative of f(x)=5e^{2x}	derivative\:f(x)=5e^{2x}
(dy)/(dx)=(e^x)/(8+e^x)	\frac{dy}{dx}=\frac{e^{x}}{8+e^{x}}
derivative of e^{6x^2}	\frac{d}{dx}(e^{6x^{2}})
integral from 0 to 5 of 1/(x^{14/15)}	\int\:_{0}^{5}\frac{1}{x^{\frac{14}{15}}}dx
x^{''}-4x=0	x^{\prime\:\prime\:}-4x=0
integral of sin(t)*t	\int\:\sin(t)\cdot\:tdt
limit as x approaches 2 of x^2+8x-2	\lim\:_{x\to\:2}(x^{2}+8x-2)
integral from-1/2 to 1/2 of 1/(1-x^2)	\int\:_{-\frac{1}{2}}^{\frac{1}{2}}\frac{1}{1-x^{2}}dx
y^'=(x*y)/(1+x^2)	y^{\prime\:}=\frac{x\cdot\:y}{1+x^{2}}
integral of (x^3+x^2)^9(3x^2+2x)	\int\:(x^{3}+x^{2})^{9}(3x^{2}+2x)dx
integral of 7e^{4x}cos(8x)	\int\:7e^{4x}\cos(8x)dx
derivative of f(x)=2x-5	derivative\:f(x)=2x-5
integral of (108)/(w^2sqrt(36-w^2))	\int\:\frac{108}{w^{2}\sqrt{36-w^{2}}}dw
(dy)/(dx)=0.06y-24000	\frac{dy}{dx}=0.06y-24000
limit as x approaches infinity of 5.3	\lim\:_{x\to\:\infty\:}(5.3)
(\partial)/(\partial y)(yze^{xz})	\frac{\partial\:}{\partial\:y}(yze^{xz})
integral of sin((pit)/2)	\int\:\sin(\frac{πt}{2})dt
y^{''}-2/(t^2)y=0,y(-1)=-1,y^'(-1)=-4	y^{\prime\:\prime\:}-\frac{2}{t^{2}}y=0,y(-1)=-1,y^{\prime\:}(-1)=-4
integral of (2x^2+x+1)/((x+3)(x-1)^2)	\int\:\frac{2x^{2}+x+1}{(x+3)(x-1)^{2}}dx
sum from n=1 to infinity of 16^nx^nn!	\sum\:_{n=1}^{\infty\:}16^{n}x^{n}n!
(dy)/(dx)=6x-30	\frac{dy}{dx}=6x-30
integral of xsqrt(x^2+7)	\int\:x\sqrt{x^{2}+7}dx
integral of 1/(2000(2000-x))	\int\:\frac{1}{2000(2000-x)}dx
derivative of f(x)=x^a(1-x)^b	derivative\:f(x)=x^{a}(1-x)^{b}
tangent of f(x)=9-4x+6x^2,\at x=8	tangent\:f(x)=9-4x+6x^{2},\at\:x=8
(\partial)/(\partial y)(y^2e^{xy^2})	\frac{\partial\:}{\partial\:y}(y^{2}e^{xy^{2}})
integral of zsin(x)	\int\:z\sin(x)dy
tangent of 1/3 x^3+7/2 x^2-3x+5	tangent\:\frac{1}{3}x^{3}+\frac{7}{2}x^{2}-3x+5
f(t)=tan(t)	f(t)=\tan(t)
limit as x approaches 1 of e^{x^2-x}	\lim\:_{x\to\:1}(e^{x^{2}-x})
integral of sin^{12}(x)	\int\:\sin^{12}(x)dx
derivative of x-5sin(x)	\frac{d}{dx}(x-5\sin(x))
(d^2)/(dx^2)(sqrt(x+10))	\frac{d^{2}}{dx^{2}}(\sqrt{x+10})
derivative of x^{4/x}	\frac{d}{dx}(x^{\frac{4}{x}})
y^'=x(7-y)	y^{\prime\:}=x(7-y)
limit as x approaches 0 of 5(x-3)ln(x-3)	\lim\:_{x\to\:0}(5(x-3)\ln(x-3))
integral from-infinity to 0 of x/(1+x^2)	\int\:_{-\infty\:}^{0}\frac{x}{1+x^{2}}dx
derivative of (x^2/(x^2))	\frac{d}{dx}(\frac{x^{2}}{x^{2}})
derivative of (x^2+1\sqrt[3]{x^2+2})	\frac{d}{dx}((x^{2}+1)\sqrt[3]{x^{2}+2})
derivative of-3/x	derivative\:-\frac{3}{x}
integral of (x+4)/((x^2+8x-7)^2)	\int\:\frac{x+4}{(x^{2}+8x-7)^{2}}dx
d/(dt)(t+2)	\frac{d}{dt}(t+2)
derivative of y=tan(x^2)	derivative\:y=\tan(x^{2})
integral of (3x-2)^5	\int\:(3x-2)^{5}dx
derivative of f(x)= 3/(\sqrt[4]{x)}	derivative\:f(x)=\frac{3}{\sqrt[4]{x}}
tangent of f(x)=sqrt(x),\at x=16.3	tangent\:f(x)=\sqrt{x},\at\:x=16.3
derivative of arcsin(sqrt(x))	derivative\:\arcsin(\sqrt{x})
(d^2)/(dx^2)(2xcos(x^2))	\frac{d^{2}}{dx^{2}}(2x\cos(x^{2}))
integral from 8 to 14 of y/(y^2-4y-5)	\int\:_{8}^{14}\frac{y}{y^{2}-4y-5}dy

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