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Popular Calculus Problems
area x^2+2x+1,2x+5,[-2,2]
area\:x^{2}+2x+1,2x+5,[-2,2]
integral from 0 to pi of sin(3x)
\int\:_{0}^{π}\sin(3x)dx
(dy)/(dx)=y^2sin(x^2),y(-5)= 1/7
\frac{dy}{dx}=y^{2}\sin(x^{2}),y(-5)=\frac{1}{7}
derivative of (x-pisin(y)+sin(x)cos(y))
\frac{d}{dx}((x-π)\sin(y)+\sin(x)\cos(y))
derivative of f(x)=2log_{5}(x)
derivative\:f(x)=2\log_{5}(x)
integral of 8/(2+8x)
\int\:\frac{8}{2+8x}dx
y^{''}-y=-sin(x)
y^{\prime\:\prime\:}-y=-\sin(x)
derivative of 10sqrt(6x^9+9x^6)
derivative\:10\sqrt{6x^{9}+9x^{6}}
limit as x approaches 2-of (x^2)/(x^2-4)
\lim\:_{x\to\:2-}(\frac{x^{2}}{x^{2}-4})
(\partial)/(\partial y)(xe^y-ye^x)
\frac{\partial\:}{\partial\:y}(xe^{y}-ye^{x})
(\partial)/(\partial x)(e^x-x^2arctan(x))
\frac{\partial\:}{\partial\:x}(e^{x}-x^{2}\arctan(x))
(6(t+1)dy)/(dt)-5y=5t,y(0)=4
\frac{6(t+1)dy}{dt}-5y=5t,y(0)=4
derivative of g(x)=sqrt(-x)
derivative\:g(x)=\sqrt{-x}
(dy)/(dx)=2y-xy^2
\frac{dy}{dx}=2y-xy^{2}
integral of-5/(sqrt(12-12x^2))
\int\:-\frac{5}{\sqrt{12-12x^{2}}}dx
derivative of (x^2+5/(x^2+6x))
\frac{d}{dx}(\frac{x^{2}+5}{x^{2}+6x})
tangent of y=x^2-2x-3,(2,-3)
tangent\:y=x^{2}-2x-3,(2,-3)
sum from n=0 to infinity of cn(x-8)^n
\sum\:_{n=0}^{\infty\:}cn(x-8)^{n}
inverse oflaplace (s/2+5/3)/(s^2+4s+6)
inverselaplace\:\frac{\frac{s}{2}+\frac{5}{3}}{s^{2}+4s+6}
integral from 0 to 9 of pi(9x-x^2)
\int\:_{0}^{9}π(9x-x^{2})dx
derivative of x/(3sqrt(x^2+1))-1/8
derivative\:\frac{x}{3\sqrt{x^{2}+1}}-\frac{1}{8}
limit as x approaches 3-of ((x^2))/(x-3)
\lim\:_{x\to\:3-}(\frac{(x^{2})}{x-3})
(\partial)/(\partial t)(t/2)
\frac{\partial\:}{\partial\:t}(\frac{t}{2})
derivative of 2x^3-6
\frac{d}{dx}(2x^{3}-6)
derivative of 24x+sin(x)
\frac{d}{dx}(24x+\sin(x))
derivative of f(x)=arcsin(2x)
derivative\:f(x)=\arcsin(2x)
derivative of (arccos(x)/(x^2))
\frac{d}{dx}(\frac{\arccos(x)}{x^{2}})
limit as x approaches 0 of (\sqrt[4]{81+x}-3)/x
\lim\:_{x\to\:0}(\frac{\sqrt[4]{81+x}-3}{x})
integral from 1 to 2 of x^2-3x+2
\int\:_{1}^{2}x^{2}-3x+2dx
derivative of e^{2ln(3x})
\frac{d}{dx}(e^{2\ln(3x)})
laplacetransform 6y
laplacetransform\:6y
derivative of sin(x)ln(x^2+1)
derivative\:\sin(x)\ln(x^{2}+1)
limit as x approaches 2 of (3x)/(x-2)
\lim\:_{x\to\:2}(\frac{3x}{x-2})
integral of sin^4(θ)
\int\:\sin^{4}(θ)dθ
integral of 3/4 sec(x)tan(x)
\int\:\frac{3}{4}\sec(x)\tan(x)dx
derivative of tan(2x+3)
derivative\:\tan(2x+3)
limit as x approaches 0 of 3-7x-5x^2
\lim\:_{x\to\:0}(3-7x-5x^{2})
area 2x+3y+4=0,[-4,4]
area\:2x+3y+4=0,[-4,4]
integral of (sec^2(x))/(sqrt(tan(x)))
\int\:\frac{\sec^{2}(x)}{\sqrt{\tan(x)}}dx
normal of y=x^2-8x,(5,-15)
normal\:y=x^{2}-8x,(5,-15)
integral of cos(r)
\int\:\cos(r)dr
x*y^'=2y
x\cdot\:y^{\prime\:}=2y
limit as t approaches 2 of (t^3-8)/(t-2)
\lim\:_{t\to\:2}(\frac{t^{3}-8}{t-2})
derivative of 3x^8
\frac{d}{dx}(3x^{8})
limit as x approaches-1 of 4x^2+6
\lim\:_{x\to\:-1}(4x^{2}+6)
limit as x approaches 0-of e^{cot(x)}
\lim\:_{x\to\:0-}(e^{\cot(x)})
xy^'-2y=3x
xy^{\prime\:}-2y=3x
(1+(y^')^2)^{3/2}=y^{''}
(1+(y^{\prime\:})^{2})^{\frac{3}{2}}=y^{\prime\:\prime\:}
derivative of ((2x+x^2))/((1+x)^2)
derivative\:\frac{(2x+x^{2})}{(1+x)^{2}}
(dy)/(dx)= 1/(sqrt(4-x^2))
\frac{dy}{dx}=\frac{1}{\sqrt{4-x^{2}}}
derivative of ln(x(1-x)^8)
derivative\:\ln(x(1-x)^{8})
(d^2)/(dx^2)(e^{7x^2})
\frac{d^{2}}{dx^{2}}(e^{7x^{2}})
(d^2)/(d{r)(T)dT}({r}(T)(T)^2(d^2)/(d{r)(T)dT}(T))
\frac{d^{2}}{d{r}(T)dT}({r}(T)(T)^{2}\frac{d^{2}}{d{r}(T)dT}(T))
derivative of cos(3)
\frac{d}{dx}(\cos(3))
f(t)=-4sin(t)
f(t)=-4\sin(t)
(\partial)/(\partial x)(e^{-9x})
\frac{\partial\:}{\partial\:x}(e^{-9x})
derivative of-10
\frac{d}{dx}(-10)
(dy)/(dx)=y^2+9
\frac{dy}{dx}=y^{2}+9
y^{''}+9y=sin(3x)
y^{\prime\:\prime\:}+9y=\sin(3x)
limit as (x,y) approaches (5,-2) of x^5+4x^3y-5xy^2
\lim\:_{(x,y)\to\:(5,-2)}(x^{5}+4x^{3}y-5xy^{2})
integral of (ax)/(x^2-px)
\int\:\frac{ax}{x^{2}-px}dx
limit as x approaches 3-of (x+4)/(x-3)
\lim\:_{x\to\:3-}(\frac{x+4}{x-3})
taylor 7/(x^2),1
taylor\:\frac{7}{x^{2}},1
integral of 4x^{1/2}
\int\:4x^{\frac{1}{2}}dx
derivative of 2x^2-3x-5
\frac{d}{dx}(2x^{2}-3x-5)
derivative of ln(ax)
\frac{d}{dx}(\ln(ax))
integral of 3/(y^pi)
\int\:\frac{3}{y^{π}}dy
(\partial}{\partial x}(\frac{8.31y)/x)
\frac{\partial\:}{\partial\:x}(\frac{8.31y}{x})
(\partial)/(\partial x)(xcos(y)-2y)
\frac{\partial\:}{\partial\:x}(x\cos(y)-2y)
integral of (x^2(e^{-2x})/2)
\int\:(x^{2}\frac{e^{-2x}}{2})dx
7(t+1)(dy)/(dt)-6y=6t
7(t+1)\frac{dy}{dt}-6y=6t
inverse oflaplace 2/(3s^2+4)
inverselaplace\:\frac{2}{3s^{2}+4}
integral of sin(18x)\sqrt[3]{cos(18x)}
\int\:\sin(18x)\sqrt[3]{\cos(18x)}dx
integral of cos(2v)
\int\:\cos(2v)dv
derivative of x,x
\frac{d}{dx}(x,x)
derivative of b/a sqrt(a^2-x^2)
\frac{d}{dx}(\frac{b}{a}\sqrt{a^{2}-x^{2}})
(\partial)/(\partial T)(x/T)
\frac{\partial\:}{\partial\:T}(\frac{x}{T})
derivative of 5*3^x
derivative\:5\cdot\:3^{x}
integral from 0 to 1 of 4cos(x^2)
\int\:_{0}^{1}4\cos(x^{2})dx
integral from-20 to 0 of 1/(sqrt(16-x))
\int\:_{-20}^{0}\frac{1}{\sqrt{16-x}}dx
inverse oflaplace (e^{-2s})/((s^2+16))
inverselaplace\:\frac{e^{-2s}}{(s^{2}+16)}
area y=4x,x=4,y= 4/x
area\:y=4x,x=4,y=\frac{4}{x}
integral from 0 to 1 of (x^3-1)
\int\:_{0}^{1}(x^{3}-1)dx
limit as x approaches-3 of (x^2)/(x+3)
\lim\:_{x\to\:-3}(\frac{x^{2}}{x+3})
integral of (3y)/(sqrt(2y^2+5))
\int\:\frac{3y}{\sqrt{2y^{2}+5}}dy
derivative of arctan(8x)
derivative\:\arctan(8x)
derivative of 2x^5-6x^4+4x^3+4x^2-6x+2
\frac{d}{dx}(2x^{5}-6x^{4}+4x^{3}+4x^{2}-6x+2)
integral of (sqrt(x)-2)
\int\:(\sqrt{x}-2)dx
derivative of (3(-x^2+1)/((x^2+1)^2))
\frac{d}{dx}(\frac{3(-x^{2}+1)}{(x^{2}+1)^{2}})
y^{''}+2y^'+y=-2e^x
y^{\prime\:\prime\:}+2y^{\prime\:}+y=-2e^{x}
(dy)/(dx)=(x-4)/(y-6)
\frac{dy}{dx}=\frac{x-4}{y-6}
integral from 1 to 2 of 5/(x^3+2x)
\int\:_{1}^{2}\frac{5}{x^{3}+2x}dx
integral from 0 to 1 of (5^x-3^x)
\int\:_{0}^{1}(5^{x}-3^{x})dx
tangent of y=2x^3,(1,2)
tangent\:y=2x^{3},(1,2)
derivative of f(x)=sqrt(6x+3)
derivative\:f(x)=\sqrt{6x+3}
integral of (ln(11x))/(x^9)
\int\:\frac{\ln(11x)}{x^{9}}dx
integral of ((7x^2+5x-6))/((x^2-4)(x+2))
\int\:\frac{(7x^{2}+5x-6)}{(x^{2}-4)(x+2)}dx
maclaurin 4cos(-x)
maclaurin\:4\cos(-x)
area 3/2 x,6sqrt(x)-2x,[0,6]
area\:\frac{3}{2}x,6\sqrt{x}-2x,[0,6]
(dy)/(dx)=x(3-y)
\frac{dy}{dx}=x(3-y)
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