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Popular Calculus Problems
derivative of x^3-3x+2
derivative\:x^{3}-3x+2
area y=3x-2,x=2,x=4,y=0
area\:y=3x-2,x=2,x=4,y=0
derivative of 2t(3t^2-7)^5
derivative\:2t(3t^{2}-7)^{5}
integral of sqrt(225-x^2)
\int\:\sqrt{225-x^{2}}dx
limit as x approaches 4 of sqrt(5x-4)
\lim\:_{x\to\:4}(\sqrt{5x-4})
integral of (x+1)e^{(x+1)^2}
\int\:(x+1)e^{(x+1)^{2}}dx
derivative of y=(3sqrt(x)+2)x^2
derivative\:y=(3\sqrt{x}+2)x^{2}
derivative of 2x^2+y^2-ln(xy^2)
\frac{d}{dx}(2x^{2}+y^{2}-\ln(xy^{2}))
tangent of y=2+1/x ,(1,3)
tangent\:y=2+\frac{1}{x},(1,3)
integral of (4x+1)/(2x^2+x)
\int\:\frac{4x+1}{2x^{2}+x}dx
(\partial)/(\partial x)(x^2sin(11t))
\frac{\partial\:}{\partial\:x}(x^{2}\sin(11t))
derivative of (x^4-5x^3+8/(x^2))
\frac{d}{dx}(\frac{x^{4}-5x^{3}+8}{x^{2}})
derivative of e^{-x^9}
\frac{d}{dx}(e^{-x^{9}})
integral of (tan^2(x)sec(x))
\int\:(\tan^{2}(x)\sec(x))dx
limit as x approaches 1 of 4x+3
\lim\:_{x\to\:1}(4x+3)
integral of sin(x)cot(x)
\int\:\sin(x)\cot(x)dx
limit as x approaches 0-of ln(-x)
\lim\:_{x\to\:0-}(\ln(-x))
derivative of sqrt(coth(x))
\frac{d}{dx}(\sqrt{\coth(x)})
slope of (6,-9),(-2,-1)
slope\:(6,-9),(-2,-1)
t^2y^{''}+ty^'+36y=0
t^{2}y^{\prime\:\prime\:}+ty^{\prime\:}+36y=0
derivative of 2x+1/x
derivative\:2x+\frac{1}{x}
integral of 6/(x^2)
\int\:\frac{6}{x^{2}}dx
derivative of x*f(x)
derivative\:x\cdot\:f(x)
derivative of (x+1^3(1-x))
\frac{d}{dx}((x+1)^{3}(1-x))
inverse oflaplace 1/((s^2(s^2+4)))
inverselaplace\:\frac{1}{(s^{2}(s^{2}+4))}
laplacetransform e^{2t}cos(3t-5)
laplacetransform\:e^{2t}\cos(3t-5)
tangent of f(x)=2x^4-11x^2,\at x=2
tangent\:f(x)=2x^{4}-11x^{2},\at\:x=2
derivative of f(x)=(x^2+3x+2)/(x^2-1)
derivative\:f(x)=\frac{x^{2}+3x+2}{x^{2}-1}
x^2y^{''}-6xy^'+10y=-8x^3
x^{2}y^{\prime\:\prime\:}-6xy^{\prime\:}+10y=-8x^{3}
integral from-4 to 4 of 1/2 (16^2-x^4)
\int\:_{-4}^{4}\frac{1}{2}(16^{2}-x^{4})dx
integral of cos(3x+1)
\int\:\cos(3x+1)dx
limit as x approaches 0 of 4sin(x)-1
\lim\:_{x\to\:0}(4\sin(x)-1)
integral from 0 to 4 of x
\int\:_{0}^{4}xdx
limit as x approaches 0-of x-2
\lim\:_{x\to\:0-}(x-2)
tangent of f(x)=2x^2-3,(2,5)
tangent\:f(x)=2x^{2}-3,(2,5)
laplacetransform 3cos(2t)
laplacetransform\:3\cos(2t)
derivative of (x^3)/(4-x^2)
derivative\:\frac{x^{3}}{4-x^{2}}
(\partial)/(\partial x)((-x+3y)/((x+y)^3))
\frac{\partial\:}{\partial\:x}(\frac{-x+3y}{(x+y)^{3}})
derivative of ln(x*x)
\frac{d}{dx}(\ln(x)\cdot\:x)
derivative of x(x-2)^3
derivative\:x(x-2)^{3}
derivative of f(x)=(sqrt(x))/(3+x)
derivative\:f(x)=\frac{\sqrt{x}}{3+x}
integral from 0 to pi of cos(x)cos(nx)
\int\:_{0}^{π}\cos(x)\cos(nx)dx
(x^3+e^y)(dy)/(dx)=3x^2
(x^{3}+e^{y})\frac{dy}{dx}=3x^{2}
limit as x approaches infinity of x-1
\lim\:_{x\to\:\infty\:}(x-1)
(d^2y)/(dt^2)+2(dy)/(dt)+y=0
\frac{d^{2}y}{dt^{2}}+2\frac{dy}{dt}+y=0
derivative of x/((x-9^2))
\frac{d}{dx}(\frac{x}{(x-9)^{2}})
derivative of (8x^2+9/(x^2+1))
\frac{d}{dx}(\frac{8x^{2}+9}{x^{2}+1})
(\partial)/(\partial y)(1/2 y)
\frac{\partial\:}{\partial\:y}(\frac{1}{2}y)
integral of-3tan^3(x)
\int\:-3\tan^{3}(x)dx
6y^{''}+11y^'-2y=0
6y^{\prime\:\prime\:}+11y^{\prime\:}-2y=0
integral of x^2sqrt(6^2-x^2)
\int\:x^{2}\sqrt{6^{2}-x^{2}}dx
integral of (x+3)(x-4)
\int\:(x+3)(x-4)dx
integral from 1 to 2 of x^3+2
\int\:_{1}^{2}x^{3}+2dx
integral of (x^3-2)/(x^3-x^2)
\int\:\frac{x^{3}-2}{x^{3}-x^{2}}dx
integral of 1/(x^{10)}
\int\:\frac{1}{x^{10}}dx
derivative of 1/((3-x)^2)
derivative\:\frac{1}{(3-x)^{2}}
integral of 1/(x^2+12x+61)
\int\:\frac{1}{x^{2}+12x+61}dx
limit as x approaches 6 of 2/(x-6)
\lim\:_{x\to\:6}(\frac{2}{x-6})
(3du)/(dt)=u^2
\frac{3du}{dt}=u^{2}
laplacetransform tsin^2(t)
laplacetransform\:t\sin^{2}(t)
tangent of y=(x^3)/(x+3),(3, 9/2)
tangent\:y=\frac{x^{3}}{x+3},(3,\frac{9}{2})
integral of (2cos(x))/(sin^3(x))
\int\:\frac{2\cos(x)}{\sin^{3}(x)}dx
derivative of xcos(sqrt(x-3))
derivative\:x\cos(\sqrt{x-3})
integral of 2x(x^2+5)^6
\int\:2x(x^{2}+5)^{6}dx
integral of 1/((x+y+z+1)^3)
\int\:\frac{1}{(x+y+z+1)^{3}}dz
limit as x approaches 0 of (2.7^x-1)/x
\lim\:_{x\to\:0}(\frac{2.7^{x}-1}{x})
derivative of 3x^2+4x-5
\frac{d}{dx}(3x^{2}+4x-5)
integral of 1/(x^{2/3)(1+x^{1/3})}
\int\:\frac{1}{x^{\frac{2}{3}}(1+x^{\frac{1}{3}})}dx
taylor e^x-1
taylor\:e^{x}-1
limit as x approaches 1 of (x-1)^2
\lim\:_{x\to\:1}((x-1)^{2})
(\partial)/(\partial x)(x^3+2xy-y^2)
\frac{\partial\:}{\partial\:x}(x^{3}+2xy-y^{2})
derivative of y= 3/(4x^5)
derivative\:y=\frac{3}{4x^{5}}
limit as x approaches 0 of (sin(x))/(6x)
\lim\:_{x\to\:0}(\frac{\sin(x)}{6x})
tangent of y=5+4x^2-2x^3,(2,5)
tangent\:y=5+4x^{2}-2x^{3},(2,5)
x^{''}+ax=0
x^{\prime\:\prime\:}+ax=0
16y^{''}+24y^'+9y=0
16y^{\prime\:\prime\:}+24y^{\prime\:}+9y=0
integral of 6rsqrt(4-r^2)
\int\:6r\sqrt{4-r^{2}}dr
(dy)/(dx)=e^{x+2y}
\frac{dy}{dx}=e^{x+2y}
(dy)/(dx)=y(y+2)
\frac{dy}{dx}=y(y+2)
limit as x approaches 11 of (2x^2-12x-110)/(x^2-121)
\lim\:_{x\to\:11}(\frac{2x^{2}-12x-110}{x^{2}-121})
f(x)=2*sqrt(x)
f(x)=2\cdot\:\sqrt{x}
sum from n=1 to infinity of 2/(n^2+6n+8)
\sum\:_{n=1}^{\infty\:}\frac{2}{n^{2}+6n+8}
derivative of (x-2/(x^2-4))
\frac{d}{dx}(\frac{x-2}{x^{2}-4})
tangent of y=x^2+x+9,\at x=2
tangent\:y=x^{2}+x+9,\at\:x=2
derivative of ((x^2+2/(x^2-2))^8)
\frac{d}{dx}((\frac{x^{2}+2}{x^{2}-2})^{8})
slope of (-4,2),(4,-2)
slope\:(-4,2),(4,-2)
tangent of f(x)=(x^3)/2 ,\at x=-6
tangent\:f(x)=\frac{x^{3}}{2},\at\:x=-6
integral of (sin(2x))/1
\int\:\frac{\sin(2x)}{1}dx
area x^2,x^4
area\:x^{2},x^{4}
y^{''}+y^'+36y=6sin(6t)
y^{\prime\:\prime\:}+y^{\prime\:}+36y=6\sin(6t)
integral of 5x^4-4x
\int\:5x^{4}-4xdx
derivative of (sqrt(x)/(1+x))
\frac{d}{dx}(\frac{\sqrt{x}}{1+x})
integral of 30(x+5)(x+7)^4
\int\:30(x+5)(x+7)^{4}dx
y^'=x(5-y)
y^{\prime\:}=x(5-y)
tangent of y=ln(1-x)
tangent\:y=\ln(1-x)
derivative of (g(x))/(1+f(x))
derivative\:\frac{g(x)}{1+f(x)}
limit as x approaches-3 of (3x)/(9-x^2)
\lim\:_{x\to\:-3}(\frac{3x}{9-x^{2}})
integral of u^7
\int\:u^{7}du
(dy)/(dx)=((x-1))/(y+2)
\frac{dy}{dx}=\frac{(x-1)}{y+2}
integral of (x+2)/(sqrt(4-2x-x^2))
\int\:\frac{x+2}{\sqrt{4-2x-x^{2}}}dx
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