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Popular Calculus Problems

integral of sec^6(2x)tan(2x)	\int\:\sec^{6}(2x)\tan(2x)dx
inverse oflaplace (s+1)/(s(s^2+s+1))	inverselaplace\:\frac{s+1}{s(s^{2}+s+1)}
integral from 0 to 1 of 2x-3	\int\:_{0}^{1}2x-3dx
integral from 0 to 1 of sin(pix)	\int\:_{0}^{1}\sin(πx)dx
(\partial)/(\partial y)(xe^{x+2y})	\frac{\partial\:}{\partial\:y}(xe^{x+2y})
y^'=3x^2y+2xy	y^{\prime\:}=3x^{2}y+2xy
derivative of f(x)=3x^2+32x+64	derivative\:f(x)=3x^{2}+32x+64
area 3x^3,[0,6]	area\:3x^{3},[0,6]
derivative of g(x)= 5/(x^3)	derivative\:g(x)=\frac{5}{x^{3}}
derivative of (2x+1^5(3x-2)^7)	\frac{d}{dx}((2x+1)^{5}(3x-2)^{7})
derivative of e^{-3x}sin(pix-pi/8)	\frac{d}{dx}(e^{-3x}\sin(πx-\frac{π}{8}))
integral of (x+3)/(sqrt(x^2-4))	\int\:\frac{x+3}{\sqrt{x^{2}-4}}dx
sum from n=1 to infinity of 14^nx^nn!	\sum\:_{n=1}^{\infty\:}14^{n}x^{n}n!
integral from 0 to t of 1/x	\int\:_{0}^{t}\frac{1}{x}dx
integral of (x^3-6x+5)/x	\int\:\frac{x^{3}-6x+5}{x}dx
tangent of f(x)=1-3x^{[2]},\at x=0	tangent\:f(x)=1-3x^{[2]},\at\:x=0
integral of x/(3x^2-4)	\int\:\frac{x}{3x^{2}-4}dx
(\partial)/(\partial x)(ln(3+x^2y^2))	\frac{\partial\:}{\partial\:x}(\ln(3+x^{2}y^{2}))
derivative of sin(e^{5x})	\frac{d}{dx}(\sin(e^{5x}))
integral from 1 to e of ln(15x)	\int\:_{1}^{e}\ln(15x)dx
integral of sqrt(81-t^2)	\int\:\sqrt{81-t^{2}}dt
integral of-3/x	\int\:-\frac{3}{x}dx
d/(dy)(x/((x^2+y^2)))	\frac{d}{dy}(\frac{x}{(x^{2}+y^{2})})
derivative of tan(3x)	derivative\:\tan(3x)
integral of x/(sqrt(x-6))	\int\:\frac{x}{\sqrt{x-6}}dx
integral of sin^3(θ)cos^8(θ)	\int\:\sin^{3}(θ)\cos^{8}(θ)dθ
limit as t approaches 0 of (e^t-1)/(t^3)	\lim\:_{t\to\:0}(\frac{e^{t}-1}{t^{3}})
integral of xe^{x/(10)}	\int\:xe^{\frac{x}{10}}dx
integral of 10m^{-2.3}+5m^{3.6}	\int\:10m^{-2.3}+5m^{3.6}dm
integral of 1/(u^2-1)	\int\:\frac{1}{u^{2}-1}du
derivative of arccos(sin(x^2+9x))	\frac{d}{dx}(\arccos(\sin(x^{2}+9x)))
derivative of f(x)=sqrt(3x+4)	derivative\:f(x)=\sqrt{3x+4}
tangent of f(x)= 2/(4-x),\at x=1	tangent\:f(x)=\frac{2}{4-x},\at\:x=1
derivative of (x-2^{-1})	\frac{d}{dx}((x-2)^{-1})
implicit 7x^2-y^2=4	implicit\:7x^{2}-y^{2}=4
area y=x^3,y=8,x=-1	area\:y=x^{3},y=8,x=-1
derivative of 5/((6x+5^2))	\frac{d}{dx}(\frac{5}{(6x+5)^{2}})
integral from 0 to 8 of 1/(sqrt(64-t^2))	\int\:_{0}^{8}\frac{1}{\sqrt{64-t^{2}}}dt
derivative of cos^2(4pix)	\frac{d}{dx}(\cos^{2}(4πx))
integral of sec^2(2x)tan^2(2x)	\int\:\sec^{2}(2x)\tan^{2}(2x)dx
limit as x approaches pi of x/4-pi/2	\lim\:_{x\to\:π}(\frac{x}{4}-\frac{π}{2})
integral of (s^2)/(s^3+5)	\int\:\frac{s^{2}}{s^{3}+5}ds
integral from 0 to 1 of 2x^2	\int\:_{0}^{1}2x^{2}dx
integral of 1/(x^2-2x-8)	\int\:\frac{1}{x^{2}-2x-8}dx
derivative of ln(1/(sqrt(6x)))	\frac{d}{dx}(\ln(\frac{1}{\sqrt{6x}}))
derivative of f(x)=7tan(x^4)	derivative\:f(x)=7\tan(x^{4})
derivative of 70pit+35cos((-2pit-pi)/2)	derivative\:70πt+35\cos(\frac{-2πt-π}{2})
integral of sin(3x)cos(7x)	\int\:\sin(3x)\cos(7x)dx
derivative of sin(5x-2)	\frac{d}{dx}(\sin(5x-2))
integral of 1/(z-1)	\int\:\frac{1}{z-1}dz
limit as x approaches 0 of ((tan(x)))/x	\lim\:_{x\to\:0}(\frac{(\tan(x))}{x})
(1+y^2)dx+xydy=0	(1+y^{2})dx+xydy=0
derivative of ln(3-2x)	derivative\:\ln(3-2x)
derivative of 3cos^3(5x)	derivative\:3\cos^{3}(5x)
integral of 9e^x	\int\:9e^{x}dx
(\partial)/(\partial x)(tan(xy^3))	\frac{\partial\:}{\partial\:x}(\tan(xy^{3}))
9y^{''}+6y^'+y=0,y(0)=1,y^'(0)=2	9y^{\prime\:\prime\:}+6y^{\prime\:}+y=0,y(0)=1,y^{\prime\:}(0)=2
derivative of (7x^2-11x)e^x	derivative\:(7x^{2}-11x)e^{x}
derivative of f(x)= 1/(sqrt(5x))	derivative\:f(x)=\frac{1}{\sqrt{5x}}
(\partial)/(\partial z)(zsin(xy^2+2z))	\frac{\partial\:}{\partial\:z}(z\sin(xy^{2}+2z))
tangent of f(x)=x^3-4x^2,\at x=0	tangent\:f(x)=x^{3}-4x^{2},\at\:x=0
derivative of ln((3+e^x)/(3-e^x))	derivative\:\ln(\frac{3+e^{x}}{3-e^{x}})
(dy)/(dx)-1/x y=1-1/x	\frac{dy}{dx}-\frac{1}{x}y=1-\frac{1}{x}
derivative of f(x)=cos(6x)	derivative\:f(x)=\cos(6x)
derivative of (tan(3x))/(x^2)	derivative\:\frac{\tan(3x)}{x^{2}}
integral of (24x^6-24x^4+x)/x	\int\:\frac{24x^{6}-24x^{4}+x}{x}dx
xdy=dx	xdy=dx
derivative of ln(sqrt((1+x/(1-x))))	\frac{d}{dx}(\ln(\sqrt{\frac{1+x}{1-x}}))
derivative of sin(3xy)	\frac{d}{dx}(\sin(3xy))
derivative of y=4sec(5x)	derivative\:y=4\sec(5x)
derivative of sqrt(sin(2x+1))	\frac{d}{dx}(\sqrt{\sin(2x+1)})
tangent of (10x)/(1+x^2)	tangent\:\frac{10x}{1+x^{2}}
derivative of sinh(5x)	\frac{d}{dx}(\sinh(5x))
integral of ((2x+5))/(x^2+5x+6)	\int\:\frac{(2x+5)}{x^{2}+5x+6}dx
integral of (21x^2)/(sqrt(x^2-4))	\int\:\frac{21x^{2}}{\sqrt{x^{2}-4}}dx
derivative of (3x^5+8/(x^3))	\frac{d}{dx}(\frac{3x^{5}+8}{x^{3}})
integral of 2xln(2x)	\int\:2x\ln(2x)dx
y^{''}-6y^'+10y=0	y^{\prime\:\prime\:}-6y^{\prime\:}+10y=0
derivative of C(x)=(4x+50)/(x+2)	derivative\:C(x)=\frac{4x+50}{x+2}
integral of (x+3)(x^2+1)	\int\:(x+3)(x^{2}+1)dx
integral of 4arcsin(x)	\int\:4\arcsin(x)dx
derivative of 12.18+3.1sin(0.017x-1.376)	\frac{d}{dx}(12.18+3.1\sin(0.017x-1.376))
derivative of ln(x^2y^3)	\frac{d}{dx}(\ln(x^{2}y^{3}))
sum from n=1 to infinity of sin(2n)	\sum\:_{n=1}^{\infty\:}\sin(2n)
derivative of e^{sin(2x}+sin(e^{2x}))	\frac{d}{dx}(e^{\sin(2x)}+\sin(e^{2x}))
derivative of f(x)=(cos(x)-4)/(2sin(x))	derivative\:f(x)=\frac{\cos(x)-4}{2\sin(x)}
derivative of (x^4+3x^2(1-5x))	\frac{d}{dx}((x^{4}+3x^{2})(1-5x))
integral of e^{-bx}	\int\:e^{-bx}dx
integral from 1 to 3 of x^2ln(x)	\int\:_{1}^{3}x^{2}\ln(x)dx
integral of (5x^2+2x-5)/(x^3-x)	\int\:\frac{5x^{2}+2x-5}{x^{3}-x}dx
(\partial)/(\partial x)(6y-5x^2e^{5y})	\frac{\partial\:}{\partial\:x}(6y-5x^{2}e^{5y})
integral of cot(ax-b)	\int\:\cot(ax-b)dx
derivative of \sqrt[11]{x}	derivative\:\sqrt[11]{x}
derivative of tan^2(7x)	derivative\:\tan^{2}(7x)
integral of (-1200x)/(sqrt(25-x^2))	\int\:\frac{-1200x}{\sqrt{25-x^{2}}}dx
derivative of 3.23e^{-61.4t}	derivative\:3.23e^{-61.4t}
limit as x approaches 3 of ((4-x))/(x-3)	\lim\:_{x\to\:3}(\frac{(4-x)}{x-3})
derivative of (4x)/(5-tan(x))	derivative\:\frac{4x}{5-\tan(x)}
integral of (1/(x^2+1))	\int\:(\frac{1}{x^{2}+1})dx
xdy+ydx=3dx	xdy+ydx=3dx

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