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Popular Calculus Problems
integral of csc^3(ex)
\int\:\csc^{3}(ex)dx
integral of ln|x|
\int\:\ln\left|x\right|dx
integral of 1/((x^2-16)^2)
\int\:\frac{1}{(x^{2}-16)^{2}}dx
y^'=y^2,y(0)=2
y^{\prime\:}=y^{2},y(0)=2
derivative of sqrt((x^2*5^x^9))
\frac{d}{dx}(\sqrt{(x^{2}\cdot\:5^{x})^{9}})
limit as x approaches 0 of 7/x-7/(x^2-x)
\lim\:_{x\to\:0}(\frac{7}{x}-\frac{7}{x^{2}-x})
xy^{''}+2y^'-4=0
xy^{\prime\:\prime\:}+2y^{\prime\:}-4=0
xy^'+y=3xy^2
xy^{\prime\:}+y=3xy^{2}
(\partial)/(\partial y)(x^2y+3xy^4)
\frac{\partial\:}{\partial\:y}(x^{2}y+3xy^{4})
derivative of 7x^{3/2}
\frac{d}{dx}(7x^{\frac{3}{2}})
integral of x/(xln(x))
\int\:\frac{x}{x\ln(x)}dx
y^'=-y^2t-y^2t^2,y(0)=3
y^{\prime\:}=-y^{2}t-y^{2}t^{2},y(0)=3
integral of sin(6x)sin(5x)
\int\:\sin(6x)\sin(5x)dx
limit as x approaches 1/2-of 1/(2x-1)
\lim\:_{x\to\:\frac{1}{2}-}(\frac{1}{2x-1})
derivative of ln((x^2/(x+1)))
\frac{d}{dx}(\ln(\frac{x^{2}}{x+1}))
derivative of f(x)=(3a+1)^2
derivative\:f(x)=(3a+1)^{2}
limit as x approaches+6 of sqrt(36-x^2)
\lim\:_{x\to\:+6}(\sqrt{36-x^{2}})
limit as x approaches+1 of e^{x^2-x}
\lim\:_{x\to\:+1}(e^{x^{2}-x})
y^'+x^2sin(y)=0
y^{\prime\:}+x^{2}\sin(y)=0
tangent of f(x)=x^3-5x^2,\at x=0
tangent\:f(x)=x^{3}-5x^{2},\at\:x=0
limit as x approaches 5 of 3x^2+3x+5
\lim\:_{x\to\:5}(3x^{2}+3x+5)
integral of 1/n
\int\:\frac{1}{n}dn
sum from n=1 to infinity of n/(e^n)
\sum\:_{n=1}^{\infty\:}\frac{n}{e^{n}}
integral of arctan(2x+1)
\int\:\arctan(2x+1)dx
integral of 3e^{4x}
\int\:3e^{4x}dx
integral of x^2-6
\int\:x^{2}-6dx
integral of 0.2t
\int\:0.2tdt
integral of 1/((x^2-225)^{3/2)}
\int\:\frac{1}{(x^{2}-225)^{\frac{3}{2}}}dx
derivative of (x^2+1/(2x-3))
\frac{d}{dx}(\frac{x^{2}+1}{2x-3})
integral of e^{3z}cos(4z)
\int\:e^{3z}\cos(4z)dz
integral of (cos^2(x))/2
\int\:\frac{\cos^{2}(x)}{2}dx
derivative of 2x^{3pi}
\frac{d}{dx}(2x^{3π})
derivative of sin^3(2t)
derivative\:\sin^{3}(2t)
derivative of f(x)=-3x^2+4x-1
derivative\:f(x)=-3x^{2}+4x-1
limit as x approaches 2 of ((x^2-5x+4))/(x-2)
\lim\:_{x\to\:2}(\frac{(x^{2}-5x+4)}{x-2})
integral from 0 to 2 of (2x)/((x^2+1)^2)
\int\:_{0}^{2}\frac{2x}{(x^{2}+1)^{2}}dx
(\partial)/(\partial x)(4e^{5x})
\frac{\partial\:}{\partial\:x}(4e^{5x})
derivative of 4x+6
derivative\:4x+6
integral of x^4-x
\int\:x^{4}-xdx
-y^{''}+y^'+y=0
-y^{\prime\:\prime\:}+y^{\prime\:}+y=0
derivative of (x^2-3x+2/(2x^2+5x-1))
\frac{d}{dx}(\frac{x^{2}-3x+2}{2x^{2}+5x-1})
(\partial)/(\partial y)((2y)/(x+y^2))
\frac{\partial\:}{\partial\:y}(\frac{2y}{x+y^{2}})
integral of (5sqrt(ln^2(x)+9))/x
\int\:\frac{5\sqrt{\ln^{2}(x)+9}}{x}dx
(\partial)/(\partial x)(y^2+xy+3y+2x+3)
\frac{\partial\:}{\partial\:x}(y^{2}+xy+3y+2x+3)
integral of 1/(5sin(x)+3)
\int\:\frac{1}{5\sin(x)+3}dx
(\partial)/(\partial x)(x^2+y^2+3xy+15x)
\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+3xy+15x)
d/(dt)((e^tθ)/((1-e^t(1-θ))^2))
\frac{d}{dt}(\frac{e^{t}θ}{(1-e^{t}(1-θ))^{2}})
(\partial)/(\partial t)(e^{-t}sin(t))
\frac{\partial\:}{\partial\:t}(e^{-t}\sin(t))
integral of (a^{5x}+e^{5x})
\int\:(a^{5x}+e^{5x})dx
integral of 1/(4-y^2)
\int\:\frac{1}{4-y^{2}}dy
integral of sin^8(3x)cos^5(3x)
\int\:\sin^{8}(3x)\cos^{5}(3x)dx
derivative of 10x^4
\frac{d}{dx}(10x^{4})
derivative of f(x)=ln(x^2-8x+16)
derivative\:f(x)=\ln(x^{2}-8x+16)
(\partial)/(\partial x)(cos^2(θ))
\frac{\partial\:}{\partial\:x}(\cos^{2}(θ))
derivative of x^{(2/3})
\frac{d}{dx}(x^{(\frac{2}{3})})
(dy)/(dx)=6xe^y
\frac{dy}{dx}=6xe^{y}
derivative of C(x)=-9x^2+500x+110
derivative\:C(x)=-9x^{2}+500x+110
integral from 1 to 4 of 3sqrt(x)ln(x)
\int\:_{1}^{4}3\sqrt{x}\ln(x)dx
derivative of ((x-1^4)/((x^2+2x)^5))
\frac{d}{dx}(\frac{(x-1)^{4}}{(x^{2}+2x)^{5}})
d/(dy)(e^x(x-y)^2)
\frac{d}{dy}(e^{x}(x-y)^{2})
(\partial)/(\partial x)(cos^3(x))
\frac{\partial\:}{\partial\:x}(\cos^{3}(x))
integral of (4x^2-2)
\int\:(4x^{2}-2)dx
(\partial)/(\partial y)((4sqrt(x))/(3y^2+1))
\frac{\partial\:}{\partial\:y}(\frac{4\sqrt{x}}{3y^{2}+1})
limit as x approaches 2 of 3+x
\lim\:_{x\to\:2}(3+x)
derivative of (e^x/(7x^2))
\frac{d}{dx}(\frac{e^{x}}{7x^{2}})
area sin(x),5x, pi/2 ,pi
area\:\sin(x),5x,\frac{π}{2},π
limit as x approaches-2 of x+3
\lim\:_{x\to\:-2}(x+3)
derivative of f(x)=(x^2-5)e^x
derivative\:f(x)=(x^{2}-5)e^{x}
(\partial)/(\partial y)(1)
\frac{\partial\:}{\partial\:y}(1)
(dx)/(dt)=5x(8-x)
\frac{dx}{dt}=5x(8-x)
derivative of sin(5xln(sin^2(5x)))
\frac{d}{dx}(\sin(5x)\ln(\sin^{2}(5x)))
inverse oflaplace (10)/(s^3+2s^2+20s)
inverselaplace\:\frac{10}{s^{3}+2s^{2}+20s}
integral from 0 to 1 of 0
\int\:_{0}^{1}0dx
integral from 0 to 1 of 1/(4y-1)
\int\:_{0}^{1}\frac{1}{4y-1}dy
derivative of f(x)= 6/x
derivative\:f(x)=\frac{6}{x}
limit as x approaches 0 of ((2x^2+16))/x
\lim\:_{x\to\:0}(\frac{(2x^{2}+16)}{x})
taylor x^2e^{x^2}
taylor\:x^{2}e^{x^{2}}
sum from n=1 to infinity of n*(3/4)^n
\sum\:_{n=1}^{\infty\:}n\cdot\:(\frac{3}{4})^{n}
integral of (sqrt(9-x^2))/(x^3)
\int\:\frac{\sqrt{9-x^{2}}}{x^{3}}dx
integral of 1/(x^2sqrt(16-x^2))
\int\:\frac{1}{x^{2}\sqrt{16-x^{2}}}dx
derivative of \sqrt[5]{x^2-x+7}
\frac{d}{dx}(\sqrt[5]{x^{2}-x+7})
(\partial)/(\partial z)(2y^3z)
\frac{\partial\:}{\partial\:z}(2y^{3}z)
derivative of sqrt(x^2+x+1)
\frac{d}{dx}(\sqrt{x^{2}+x+1})
(\partial)/(\partial y)(x^2-xy+y^2-y)
\frac{\partial\:}{\partial\:y}(x^{2}-xy+y^{2}-y)
integral of x^5(cos(x^3))
\int\:x^{5}(\cos(x^{3}))dx
d/(dz)(ln(sqrt((a^2-z^2)/(a^2+z^2))))
\frac{d}{dz}(\ln(\sqrt{\frac{a^{2}-z^{2}}{a^{2}+z^{2}}}))
derivative of 1/3 pi{r}(x(x)^2h)
\frac{d}{dx}(\frac{1}{3}π{r}(x)(x)^{2}h)
integral from 0 to 7 of 1/(sqrt(9+x^2))
\int\:_{0}^{7}\frac{1}{\sqrt{9+x^{2}}}dx
derivative of x^2-y
\frac{d}{dx}(x^{2}-y)
integral of (x^2)/(sqrt((x^2+6)))
\int\:\frac{x^{2}}{\sqrt{(x^{2}+6)}}dx
derivative of y=(4x^2+5)(5x-3)
derivative\:y=(4x^{2}+5)(5x-3)
derivative of (3x^2-3x+1)(x^3)
derivative\:(3x^{2}-3x+1)(x^{3})
integral of 1/((4+x^2)^{5/2)}
\int\:\frac{1}{(4+x^{2})^{\frac{5}{2}}}dx
integral of ((5+ln(x))^5)/x
\int\:\frac{(5+\ln(x))^{5}}{x}dx
derivative of ln((x^3(2x+1)/(x^2-3)))
\frac{d}{dx}(\ln(\frac{x^{3}(2x+1)}{x^{2}-3}))
derivative of f(x)=6cos^4(3x+2)
derivative\:f(x)=6\cos^{4}(3x+2)
limit as x approaches 5 of x^3-x^2+5x
\lim\:_{x\to\:5}(x^{3}-x^{2}+5x)
y^'=ytan(t)+sin(t)
y^{\prime\:}=y\tan(t)+\sin(t)
derivative of (1/x-4/(x^3)(x^3-5x-1))
\frac{d}{dx}((\frac{1}{x}-\frac{4}{x^{3}})(x^{3}-5x-1))
limit as x approaches 1 of x^5-2x-6
\lim\:_{x\to\:1}(x^{5}-2x-6)
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