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Popular Calculus Problems
integral of (x^2)/(x-3)
\int\:\frac{x^{2}}{x-3}dx
integral of (6x)/(4x^2+4x+10)
\int\:\frac{6x}{4x^{2}+4x+10}dx
derivative of e^{sin(sqrt(x-1)})
\frac{d}{dx}(e^{\sin(\sqrt{x-1})})
integral from 2 to 5 of x^6
\int\:_{2}^{5}x^{6}dx
xy^'-2y^'-(x-2)cos(x)+y=0
xy^{\prime\:}-2y^{\prime\:}-(x-2)\cos(x)+y=0
integral of-11sec^2(x)
\int\:-11\sec^{2}(x)dx
integral of (100-x)^3
\int\:(100-x)^{3}dx
derivative of f(x)=3x+7
derivative\:f(x)=3x+7
integral from 0 to 81 of 1/(sqrt(81-x))
\int\:_{0}^{81}\frac{1}{\sqrt{81-x}}dx
integral of e^{cos(7t)}sin(7t)
\int\:e^{\cos(7t)}\sin(7t)dt
derivative of 4*sqrt(x^2+3x)
\frac{d}{dx}(4\cdot\:\sqrt{x^{2}+3x})
derivative of x^2arctan(x^2)
\frac{d}{dx}(x^{2}\arctan(x^{2}))
derivative of (4x/(x-3))
\frac{d}{dx}(\frac{4x}{x-3})
xy^2y^'=y^3-3x^3,y(1)=3
xy^{2}y^{\prime\:}=y^{3}-3x^{3},y(1)=3
derivative of (sqrt(x)-2)/(sqrt(x)+2)
derivative\:\frac{\sqrt{x}-2}{\sqrt{x}+2}
integral of xe^{9-x^2}
\int\:xe^{9-x^{2}}dx
(2x^2+y^2)dx-x^2dy=0
(2x^{2}+y^{2})dx-x^{2}dy=0
integral of (x-5)ln(x)
\int\:(x-5)\ln(x)dx
integral of (e^{1/z})/(z^2)
\int\:\frac{e^{\frac{1}{z}}}{z^{2}}dz
slope of y=3-4x^2,(-1,-1)
slope\:y=3-4x^{2},(-1,-1)
derivative of arcsin(1+2x^2)
\frac{d}{dx}(\arcsin(1+2x^{2}))
integral of 8sin(x)cos(x)
\int\:8\sin(x)\cos(x)dx
derivative of-4e^{2x}
\frac{d}{dx}(-4e^{2x})
limit as x approaches 2 of 1/(2-x)
\lim\:_{x\to\:2}(\frac{1}{2-x})
(\partial)/(\partial x)(1(x-y)e^{1y+4x^2})
\frac{\partial\:}{\partial\:x}(1(x-y)e^{1y+4x^{2}})
integral of sinh(3-4x)
\int\:\sinh(3-4x)dx
integral of 7/(x^2+9)
\int\:\frac{7}{x^{2}+9}dx
integral of x^2(x^3+5)^4
\int\:x^{2}(x^{3}+5)^{4}dx
integral of sech^8(x)tanh(x)
\int\:\sech^{8}(x)\tanh(x)dx
(\partial)/(\partial x)(x^2y+y^3-27y)
\frac{\partial\:}{\partial\:x}(x^{2}y+y^{3}-27y)
integral of (1+x^2+1/(1+x^2))
\int\:(1+x^{2}+\frac{1}{1+x^{2}})dx
limit as x approaches 2 of x^2+3x+4
\lim\:_{x\to\:2}(x^{2}+3x+4)
integral of e^{-ax}
\int\:e^{-ax}dx
(dy)/(dx)= 8/7 y
\frac{dy}{dx}=\frac{8}{7}y
y^{''}+144y=sec(12x)
y^{\prime\:\prime\:}+144y=\sec(12x)
derivative of (1-4ln(x))/(x^5)
derivative\:\frac{1-4\ln(x)}{x^{5}}
derivative of 5x^{-3/5}
\frac{d}{dx}(5x^{-\frac{3}{5}})
integral of 1/(x^3-2x^2-4x+8)
\int\:\frac{1}{x^{3}-2x^{2}-4x+8}dx
integral from 0 to 1 of (6x^2-1)
\int\:_{0}^{1}(6x^{2}-1)dx
slope of f(x)=x^2-3
slope\:f(x)=x^{2}-3
(\partial)/(\partial x)(y^2e^{-2x})
\frac{\partial\:}{\partial\:x}(y^{2}e^{-2x})
integral of 10x-7
\int\:10x-7dx
derivative of (\sqrt[3]{x}/(1+x^2))
\frac{d}{dx}(\frac{\sqrt[3]{x}}{1+x^{2}})
derivative of (x^3+1^{1/2})
\frac{d}{dx}((x^{3}+1)^{\frac{1}{2}})
laplacetransform (x-2)^2
laplacetransform\:(x-2)^{2}
derivative of sin(xsin(2x))
\frac{d}{dx}(\sin(x)\sin(2x))
derivative of 3x^4-16x^3-18x^2
\frac{d}{dx}(3x^{4}-16x^{3}-18x^{2})
derivative of sqrt(10x+1)
derivative\:\sqrt{10x+1}
derivative of f(x)=(4t-5)^4+(4t+5)^4
derivative\:f(x)=(4t-5)^{4}+(4t+5)^{4}
derivative of y=[x(x^5+4)^4]
derivative\:y=[x(x^{5}+4)^{4}]
integral of 6/(3x+1)
\int\:\frac{6}{3x+1}dx
limit as x approaches infinity+of 1/(log_{10)(x)}
\lim\:_{x\to\:\infty\:+}(\frac{1}{\log_{10}(x)})
derivative of 1/((-x^2+x-2)^5)
derivative\:\frac{1}{(-x^{2}+x-2)^{5}}
tangent of x^2-3,\at x=2
tangent\:x^{2}-3,\at\:x=2
integral of (x+7)/(sqrt(16-(x-4)^2))
\int\:\frac{x+7}{\sqrt{16-(x-4)^{2}}}dx
(x-y)(dx-dy)=0
(x-y)(dx-dy)=0
limit as x approaches-3-of x
\lim\:_{x\to\:-3-}(x)
inverse oflaplace (5s)/((s^2+4)(s+7))
inverselaplace\:\frac{5s}{(s^{2}+4)(s+7)}
derivative of sin(8-9x)
\frac{d}{dx}(\sin(8-9x))
derivative of y= 4/(7x^7)
derivative\:y=\frac{4}{7x^{7}}
(dv)/(dt)=9.8-v/5
\frac{dv}{dt}=9.8-\frac{v}{5}
inverse oflaplace (s+1)/(s(s^2+2s+2))
inverselaplace\:\frac{s+1}{s(s^{2}+2s+2)}
laplacetransform 1-te^{-2t}
laplacetransform\:1-te^{-2t}
integral of 1/(4x^2+48x+148)
\int\:\frac{1}{4x^{2}+48x+148}dx
(\partial)/(\partial x)(e^{(z+e^x+1)})
\frac{\partial\:}{\partial\:x}(e^{(z+e^{x}+1)})
(\partial)/(\partial x)(-3cos(3x))
\frac{\partial\:}{\partial\:x}(-3\cos(3x))
integral from 6 to 8 of (80)/((x-6)^3)
\int\:_{6}^{8}\frac{80}{(x-6)^{3}}dx
(\partial)/(\partial y)(x^2-y^3+5x+12y+1)
\frac{\partial\:}{\partial\:y}(x^{2}-y^{3}+5x+12y+1)
derivative of 2x^2+3
derivative\:2x^{2}+3
integral of (e^{7x})
\int\:(e^{7x})dx
limit as x approaches 0+of 2x
\lim\:_{x\to\:0+}(2x)
tangent of f(x)=x+sqrt(x),(49,56)
tangent\:f(x)=x+\sqrt{x},(49,56)
y=sqrt(x)
y=\sqrt{x}
integral of 1+x+5x^2
\int\:1+x+5x^{2}dx
derivative of f(x)=(1-xe^x)/(x+e^x)
derivative\:f(x)=\frac{1-xe^{x}}{x+e^{x}}
sum from k=1 to infinity of (-1)^k
\sum\:_{k=1}^{\infty\:}(-1)^{k}
derivative of (x-3/3)
\frac{d}{dx}(\frac{x-3}{3})
limit as x approaches 1 of (x^7-1)/(x-1)
\lim\:_{x\to\:1}(\frac{x^{7}-1}{x-1})
integral of x^2-9x+2
\int\:x^{2}-9x+2dx
derivative of ((-e^x))/(x+1)
derivative\:\frac{(-e^{x})}{x+1}
integral of (13)/((x-2)(x^2+9))
\int\:\frac{13}{(x-2)(x^{2}+9)}dx
integral of sqrt(x^2+4x-5)
\int\:\sqrt{x^{2}+4x-5}dx
limit as x approaches 7+of 1/(x+7)
\lim\:_{x\to\:7+}(\frac{1}{x+7})
limit as x approaches 0 of (2sin(3x))/(5x)
\lim\:_{x\to\:0}(\frac{2\sin(3x)}{5x})
(\partial)/(\partial x)(9x^7cos(y^4))
\frac{\partial\:}{\partial\:x}(9x^{7}\cos(y^{4}))
derivative of f(x)=ln(64sin^2(x))
derivative\:f(x)=\ln(64\sin^{2}(x))
y^{''}-3y^'-4y=e^{3t}
y^{\prime\:\prime\:}-3y^{\prime\:}-4y=e^{3t}
area y=(x^3)/2+(x^2)/2-2x,y=(x^2)/2
area\:y=\frac{x^{3}}{2}+\frac{x^{2}}{2}-2x,y=\frac{x^{2}}{2}
derivative of f(x)=cos^2(3x+1)
derivative\:f(x)=\cos^{2}(3x+1)
derivative of ln(4+x^2)
\frac{d}{dx}(\ln(4+x^{2}))
y^'-5y=9e^{8t}
y^{\prime\:}-5y=9e^{8t}
integral of 2/(2x+3)
\int\:\frac{2}{2x+3}dx
y^{''}+4y^'+5y=35e^{-4x},y(0)=-3,y^'(0)=1
y^{\prime\:\prime\:}+4y^{\prime\:}+5y=35e^{-4x},y(0)=-3,y^{\prime\:}(0)=1
4x^'+x=5
4x^{\prime\:}+x=5
(dy)/(dt)+0.1ty=2t,y(0)=3
\frac{dy}{dt}+0.1ty=2t,y(0)=3
y^{1/2}y^'+y^{3/2}=1,y(0)=4
y^{\frac{1}{2}}y^{\prime\:}+y^{\frac{3}{2}}=1,y(0)=4
(\partial)/(\partial x)(x*y*z)
\frac{\partial\:}{\partial\:x}(x\cdot\:y\cdot\:z)
tangent of y=x^4+7e^x,(0,7)
tangent\:y=x^{4}+7e^{x},(0,7)
integral of x/(9+x^4)
\int\:\frac{x}{9+x^{4}}dx
derivative of ln(16sin^2(x))
derivative\:\ln(16\sin^{2}(x))
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