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Popular Calculus Problems
integral of xsin(5-x)
\int\:x\sin(5-x)dx
inverse oflaplace 8/s
inverselaplace\:\frac{8}{s}
y^{''}+y^'-20y=-1200t^3
y^{\prime\:\prime\:}+y^{\prime\:}-20y=-1200t^{3}
(\partial)/(\partial x)((x+y)(xy+1))
\frac{\partial\:}{\partial\:x}((x+y)(xy+1))
integral of sqrt(x^2+6x+11)
\int\:\sqrt{x^{2}+6x+11}dx
integral of sin^2(x)sin(3x)
\int\:\sin^{2}(x)\sin(3x)dx
(\partial)/(\partial x)(sqrt(x+4))
\frac{\partial\:}{\partial\:x}(\sqrt{x+4})
inverse oflaplace 1/(2s^3+6s^2+4s)
inverselaplace\:\frac{1}{2s^{3}+6s^{2}+4s}
integral of x(sqrt(x))
\int\:x(\sqrt{x})dx
derivative of y=(3x+4)^5+15x(3x+4)^4
derivative\:y=(3x+4)^{5}+15x(3x+4)^{4}
integral of-e^{4x}
\int\:-e^{4x}dx
sum from n=1 to infinity of n/(csc(1/n))
\sum\:_{n=1}^{\infty\:}\frac{n}{\csc(\frac{1}{n})}
integral of ((arctan(x))^4)/(1+x^2)
\int\:\frac{(\arctan(x))^{4}}{1+x^{2}}dx
(\partial)/(\partial x)(yln(x^3+y^4+2))
\frac{\partial\:}{\partial\:x}(y\ln(x^{3}+y^{4}+2))
derivative of e^{x{z}(x})
\frac{d}{dx}(e^{x{z}(x)})
tangent of f(x)=x^2+169x+820,\at x=2
tangent\:f(x)=x^{2}+169x+820,\at\:x=2
derivative of y=(2x)/(7-cot(x))
derivative\:y=\frac{2x}{7-\cot(x)}
integral of (x^{-1/2})
\int\:(x^{-\frac{1}{2}})dx
integral from 1 to 9 of (sqrt(x))
\int\:_{1}^{9}(\sqrt{x})dx
integral of 49
\int\:49dx
(\partial)/(\partial x)(4y^2x^3-3yx^2)
\frac{\partial\:}{\partial\:x}(4y^{2}x^{3}-3yx^{2})
x^{''}+4x^'+2x=0
x^{\prime\:\prime\:}+4x^{\prime\:}+2x=0
integral of (5e^{-0.8x})
\int\:(5e^{-0.8x})dx
derivative of y=2xe^{2x}-e^{2x}
derivative\:y=2xe^{2x}-e^{2x}
integral of 18sin^{-3/2}(x)cos^3(x)
\int\:18\sin^{-\frac{3}{2}}(x)\cos^{3}(x)dx
(x-8y)dx+(4x)dy=0
(x-8y)dx+(4x)dy=0
inverse oflaplace ((s+1)^3)/(s^5)
inverselaplace\:\frac{(s+1)^{3}}{s^{5}}
limit as x approaches 5 of ((x-5))/(sqrt(x^2+5))
\lim\:_{x\to\:5}(\frac{(x-5)}{\sqrt{x^{2}+5}})
integral from 0 to infinity of 4sin^2(a)
\int\:_{0}^{\infty\:}4\sin^{2}(a)da
integral of 9t^6
\int\:9t^{6}dt
laplacetransform 5sin(3t)
laplacetransform\:5\sin(3t)
derivative of e^{x^6}
derivative\:e^{x^{6}}
integral of (4+sqrt(x)+x)/x
\int\:\frac{4+\sqrt{x}+x}{x}dx
(\partial)/(\partial y)(2xy^2+y)
\frac{\partial\:}{\partial\:y}(2xy^{2}+y)
derivative of f(x)=(x/(x^2+1))^2
derivative\:f(x)=(\frac{x}{x^{2}+1})^{2}
(dy)/(dx)+y=xe^{-x}+1
\frac{dy}{dx}+y=xe^{-x}+1
sum from n=0 to infinity of 1/(n(n+2))
\sum\:_{n=0}^{\infty\:}\frac{1}{n(n+2)}
limit as x approaches 5 of x^2-25
\lim\:_{x\to\:5}(x^{2}-25)
derivative of x(x^2+1^2)
\frac{d}{dx}(x(x^{2}+1)^{2})
integral from 0 to 1 of (4x+6)/((x+1)^2)
\int\:_{0}^{1}\frac{4x+6}{(x+1)^{2}}dx
derivative of-x^3+2x^2-x
\frac{d}{dx}(-x^{3}+2x^{2}-x)
integral of (3x^2-2)/(x^3-2x-8)
\int\:\frac{3x^{2}-2}{x^{3}-2x-8}dx
limit as t approaches 3+of ln(t-3)
\lim\:_{t\to\:3+}(\ln(t-3))
limit as x approaches-pi/4 of csc(x)
\lim\:_{x\to\:-\frac{π}{4}}(\csc(x))
sum from n=1 to infinity of ((1+n)/n)^n
\sum\:_{n=1}^{\infty\:}(\frac{1+n}{n})^{n}
derivative of (-1)/(sqrt(10+4t^2))
derivative\:\frac{-1}{\sqrt{10+4t^{2}}}
derivative of e^{x+y}sin(x-y)
\frac{d}{dx}(e^{x+y}\sin(x-y))
derivative of (x-2)(x-3)^2
derivative\:(x-2)(x-3)^{2}
integral of-(2ln(x))/(x^2)
\int\:-\frac{2\ln(x)}{x^{2}}dx
derivative of ln((x^2/((x-4))))
\frac{d}{dx}(\ln(\frac{x^{2}}{(x-4)}))
derivative of x^3e^{x^2}
\frac{d}{dx}(x^{3}e^{x^{2}})
derivative of f(x)=(3x-2)^4
derivative\:f(x)=(3x-2)^{4}
integral of cos(2x)-1
\int\:\cos(2x)-1dx
(dy)/(dx)=((x-y))/((x+2y))
\frac{dy}{dx}=\frac{(x-y)}{(x+2y)}
(\partial)/(\partial x)(sqrt(x^2+z^2))
\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+z^{2}})
derivative of (3x^2+2x/(4x-3))
\frac{d}{dx}(\frac{3x^{2}+2x}{4x-3})
derivative of g(x)=3e^xsqrt(x)
derivative\:g(x)=3e^{x}\sqrt{x}
derivative of cos(x+xcos(y)-y)
\frac{d}{dx}(\cos(x)+x\cos(y)-y)
(\partial)/(\partial x)(xyz+9x+8y-4z)
\frac{\partial\:}{\partial\:x}(xyz+9x+8y-4z)
laplacetransform f(t)=1
laplacetransform\:f(t)=1
inverse oflaplace s/((s+1)^5)
inverselaplace\:\frac{s}{(s+1)^{5}}
derivative of 2sin(4x)
derivative\:2\sin(4x)
integral of sin^3(3x)cos^5(3x)
\int\:\sin^{3}(3x)\cos^{5}(3x)dx
integral from-2 to 14 of 1/((x+2)^{1/4)}
\int\:_{-2}^{14}\frac{1}{(x+2)^{\frac{1}{4}}}dx
integral of (x^3)/(sqrt(x))
\int\:\frac{x^{3}}{\sqrt{x}}dx
integral of x+2-x^2
\int\:x+2-x^{2}dx
y^'=9x+y,y(0)=4
y^{\prime\:}=9x+y,y(0)=4
integral from 0 to 1 of (13)/(4y-1)
\int\:_{0}^{1}\frac{13}{4y-1}dy
derivative of \sqrt[3]{x^4+5x}
derivative\:\sqrt[3]{x^{4}+5x}
derivative of e^{-8x}
derivative\:e^{-8x}
sum from n=0 to infinity of e^n
\sum\:_{n=0}^{\infty\:}e^{n}
(4x)^'
(4x)^{\prime\:}
tangent of 2sqrt(3)sin(x)+2cos(x)
tangent\:2\sqrt{3}\sin(x)+2\cos(x)
integral of 2cos(sqrt(10x))
\int\:2\cos(\sqrt{10x})dx
derivative of (x^2+sin(x)^3)
\frac{d}{dx}((x^{2}+\sin(x))^{3})
integral from-1 to 1 of x^3-x
\int\:_{-1}^{1}x^{3}-xdx
laplacetransform 1e^{4t}
laplacetransform\:1e^{4t}
integral of (x^2)/((x^3+2)^2)
\int\:\frac{x^{2}}{(x^{3}+2)^{2}}dx
tangent of (6x)/(x+7),\at x=1
tangent\:\frac{6x}{x+7},\at\:x=1
(\partial)/(\partial y)(xe^{y/x})
\frac{\partial\:}{\partial\:y}(xe^{\frac{y}{x}})
derivative of x^2-2
derivative\:x^{2}-2
integral of (y^2+6y+9)/((y^2+9)^2)
\int\:\frac{y^{2}+6y+9}{(y^{2}+9)^{2}}dy
tangent of f(x)=3sqrt(x-1),\at x=5
tangent\:f(x)=3\sqrt{x-1},\at\:x=5
sum from n=1 to infinity of (n!)/((2n)!)
\sum\:_{n=1}^{\infty\:}\frac{n!}{(2n)!}
derivative of x^4+4/3 x^3-4x^2-4/3
derivative\:x^{4}+\frac{4}{3}x^{3}-4x^{2}-\frac{4}{3}
integral of (y+1)/(y^2+1)
\int\:\frac{y+1}{y^{2}+1}dy
tangent of f(x)=5x^3-5x,(-1,0)
tangent\:f(x)=5x^{3}-5x,(-1,0)
derivative of g(x)=(1+2x)/(3-4x)
derivative\:g(x)=\frac{1+2x}{3-4x}
integral of x(4x+5)^3
\int\:x(4x+5)^{3}dx
implicit (dy)/(dx),xy=28
implicit\:\frac{dy}{dx},xy=28
slope of (-1.2)(-2.3)
slope\:(-1.2)(-2.3)
integral of sin^4(y)cos(y)
\int\:\sin^{4}(y)\cos(y)dy
derivative of ln(\sqrt[4]{(6x+1/(6-x)}))
\frac{d}{dx}(\ln(\sqrt[4]{\frac{6x+1}{6-x}}))
derivative of (0.001x/(0.001x+1))
\frac{d}{dx}(\frac{0.001x}{0.001x+1})
derivative of y=x^2sin(x)
derivative\:y=x^{2}\sin(x)
(x^8)^'
(x^{8})^{\prime\:}
integral of sec^2(x)-8
\int\:\sec^{2}(x)-8dx
taylor (x-pi)^3
taylor\:(x-π)^{3}
sum from n=1 to infinity of 3n
\sum\:_{n=1}^{\infty\:}3n
derivative of 300x(1-x)
\frac{d}{dx}(300x(1-x))
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