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Popular Calculus Problems
derivative of 4/3 pir^3
derivative\:\frac{4}{3}πr^{3}
limit as x approaches infinity of 0.53^x
\lim\:_{x\to\:\infty\:}(0.53^{x})
integral of (9e^{9t})/(6+e^{9t)}
\int\:\frac{9e^{9t}}{6+e^{9t}}dt
(\partial)/(\partial y)(yz^2-ln(x+z))
\frac{\partial\:}{\partial\:y}(yz^{2}-\ln(x+z))
integral of 4x^{-1/3}
\int\:4x^{-\frac{1}{3}}dx
slope of (2,5),(1,5)
slope\:(2,5),(1,5)
integral from 2 to 5 of 3x
\int\:_{2}^{5}3xdx
integral of (2x-5)/(x^2+8)
\int\:\frac{2x-5}{x^{2}+8}dx
derivative of sinh(x^2)
\frac{d}{dx}(\sinh(x^{2}))
derivative of f(x)=(x^2+x+1)/(x^2+1)
derivative\:f(x)=\frac{x^{2}+x+1}{x^{2}+1}
maclaurin 1/(2-x)
maclaurin\:\frac{1}{2-x}
derivative of g(x)=(-7)/x
derivative\:g(x)=\frac{-7}{x}
limit as x approaches-2 of 3x^3-2x+7
\lim\:_{x\to\:-2}(3x^{3}-2x+7)
integral of 1/(t-20)
\int\:\frac{1}{t-20}dt
integral of 1/(1+e^{-5x)}
\int\:\frac{1}{1+e^{-5x}}dx
derivative of sin^{2x}(x)
\frac{d}{dx}(\sin^{2x}(x))
derivative of (sin(4x)^{6x})
\frac{d}{dx}((\sin(4x))^{6x})
derivative of cos(2x^3)
derivative\:\cos(2x^{3})
integral from 0 to 2 of 3/(x^2+4)
\int\:_{0}^{2}\frac{3}{x^{2}+4}dx
derivative of arccos(2x)
\frac{d}{dx}(\arccos(2x))
(\partial)/(\partial x)(12xye^{-x^2-y^2})
\frac{\partial\:}{\partial\:x}(12xye^{-x^{2}-y^{2}})
limit as x approaches 0 of 3x+41
\lim\:_{x\to\:0}(3x+41)
(\partial)/(\partial y)(2x^3+4y-2z^2)
\frac{\partial\:}{\partial\:y}(2x^{3}+4y-2z^{2})
derivative of (x^2-3x-54/(x+6))
\frac{d}{dx}(\frac{x^{2}-3x-54}{x+6})
derivative of f(x)=5-2x
derivative\:f(x)=5-2x
sum from n=1 to infinity of (x^n)/(\sqrt[5]{n)}
\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{\sqrt[5]{n}}
area y=x+2,y=x^2,y=0
area\:y=x+2,y=x^{2},y=0
integral of sin^2(kx)
\int\:\sin^{2}(kx)dx
limit as x approaches-7-of 1/(x^3+7x^2)
\lim\:_{x\to\:-7-}(\frac{1}{x^{3}+7x^{2}})
limit as x approaches-infinity of 9x^2
\lim\:_{x\to\:-\infty\:}(9x^{2})
sum from n=1 to infinity of n/(n^2+n+1)
\sum\:_{n=1}^{\infty\:}\frac{n}{n^{2}+n+1}
derivative of (3x-1^4*(2x+1)^{-3})
\frac{d}{dx}((3x-1)^{4}\cdot\:(2x+1)^{-3})
limit as x approaches 1 of (5-5x)/(1-sqrt(x))
\lim\:_{x\to\:1}(\frac{5-5x}{1-\sqrt{x}})
sum from n=0 to infinity of n^na^n
\sum\:_{n=0}^{\infty\:}n^{n}a^{n}
integral of x^{1/3}sin(x^{4/3}-8)
\int\:x^{\frac{1}{3}}\sin(x^{\frac{4}{3}}-8)dx
(\partial)/(\partial x)((x^2+y^2)/(2x))
\frac{\partial\:}{\partial\:x}(\frac{x^{2}+y^{2}}{2x})
(\partial)/(\partial u(v))(u(v)^2e^{-v})
\frac{\partial\:}{\partial\:u(v)}(u(v)^{2}e^{-v})
derivative of sqrt(5-4x^2)
\frac{d}{dx}(\sqrt{5-4x^{2}})
derivative of e^{7t}
derivative\:e^{7t}
derivative of ln(x^2-7x+1)
\frac{d}{dx}(\ln(x^{2}-7x+1))
integral of 1/(sqrt(9x^2+12x+8))
\int\:\frac{1}{\sqrt{9x^{2}+12x+8}}dx
area f(x)=sin(2x), pi/2 ,pi
area\:f(x)=\sin(2x),\frac{π}{2},π
derivative of (sqrt(6x-x^2)/(tan(x)))
\frac{d}{dx}(\frac{\sqrt{6x-x^{2}}}{\tan(x)})
integral of e^{9x}
\int\:e^{9x}dx
integral of x^4*e^{x^5}
\int\:x^{4}\cdot\:e^{x^{5}}dx
derivative of 3e^{3x}cos(2x)
\frac{d}{dx}(3e^{3x}\cos(2x))
t(dy)/(dt)+3y=t^4
t\frac{dy}{dt}+3y=t^{4}
integral from 0 to 3 of (4-x^2)
\int\:_{0}^{3}(4-x^{2})dx
limit as x approaches 3 of 4x+1
\lim\:_{x\to\:3}(4x+1)
derivative of f(x)=(3x)/(e^x)
derivative\:f(x)=\frac{3x}{e^{x}}
tangent of f(x)=2e^x+x,(0,2)
tangent\:f(x)=2e^{x}+x,(0,2)
integral of (x+3)(x-1)^5
\int\:(x+3)(x-1)^{5}dx
(dx)/(dt)=4x(7-x)
\frac{dx}{dt}=4x(7-x)
tangent of f(x)= 4/(3x-1),\at x=1
tangent\:f(x)=\frac{4}{3x-1},\at\:x=1
x(x+1)*(dy)/(dx)+xy=1
x(x+1)\cdot\:\frac{dy}{dx}+xy=1
derivative of f(x)=tan(x)*cot(x)
derivative\:f(x)=\tan(x)\cdot\:\cot(x)
integral of 8/((x-4)^2)
\int\:\frac{8}{(x-4)^{2}}dx
laplacetransform sin(5t-pi/3)
laplacetransform\:\sin(5t-\frac{π}{3})
limit as x approaches infinity of (x/(x+1))^{2x}
\lim\:_{x\to\:\infty\:}((\frac{x}{x+1})^{2x})
derivative of ax^3+bx^2
\frac{d}{dx}(ax^{3}+bx^{2})
derivative of (-3/(x+1))
\frac{d}{dx}(\frac{-3}{x+1})
sum from n=1 to infinity of (n^8)/(n!)
\sum\:_{n=1}^{\infty\:}\frac{n^{8}}{n!}
derivative of x^3-x^2-6x
\frac{d}{dx}(x^{3}-x^{2}-6x)
derivative of (x^{-2}+x^3)
\frac{d}{dx}((x^{-2}+x)^{3})
y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=2
y^{\prime\:\prime\:}-4y^{\prime\:}-5y=0,y(1)=0,y^{\prime\:}(1)=2
sum from n=1 to infinity of 8^n
\sum\:_{n=1}^{\infty\:}8^{n}
derivative of g(x)=sqrt(9-x)
derivative\:g(x)=\sqrt{9-x}
(dy)/(dx)=(2y^2)/(x^2)
\frac{dy}{dx}=\frac{2y^{2}}{x^{2}}
(dy)/(dx)=(10x)/(3y)
\frac{dy}{dx}=\frac{10x}{3y}
integral of x^3e^{-x}
\int\:x^{3}e^{-x}dx
derivative of 1/(ln(x+1)-1/(ln(x+3)))
\frac{d}{dx}(\frac{1}{\ln(x+1)}-\frac{1}{\ln(x+3)})
limit as x approaches 0 of x*csc(x)
\lim\:_{x\to\:0}(x\cdot\:\csc(x))
limit as x approaches 0 of 5x-2
\lim\:_{x\to\:0}(5x-2)
derivative of ln(x^4+cot(3x))
\frac{d}{dx}(\ln(x^{4}+\cot(3x)))
derivative of sin^2(e^{sin(2)(t)})
derivative\:\sin^{2}(e^{\sin(2)(t)})
derivative of 2cos^4(x)
\frac{d}{dx}(2\cos^{4}(x))
derivative of f(x)=(x^2+1)/x
derivative\:f(x)=\frac{x^{2}+1}{x}
integral of 1/(e^x-4e^{-x)}
\int\:\frac{1}{e^{x}-4e^{-x}}dx
y^'=((y^4-1))/(4xy^3)
y^{\prime\:}=\frac{(y^{4}-1)}{4xy^{3}}
integral of 8/(w^2sqrt(4-w^2))
\int\:\frac{8}{w^{2}\sqrt{4-w^{2}}}dw
derivative of x^4-3
\frac{d}{dx}(x^{4}-3)
(dy)/(dx)=e^{-a*x}-b*y,y(0)=0
\frac{dy}{dx}=e^{-a\cdot\:x}-b\cdot\:y,y(0)=0
integral of ((2r+1))/(r^2-3r+2)
\int\:\frac{(2r+1)}{r^{2}-3r+2}dr
limit as x approaches 10 of 1/((x-10)^2)
\lim\:_{x\to\:10}(\frac{1}{(x-10)^{2}})
inverse oflaplace (e^{-4s})/(s^3)
inverselaplace\:\frac{e^{-4s}}{s^{3}}
integral of xsqrt(25-x^2)
\int\:x\sqrt{25-x^{2}}dx
integral of tan^3(x
\int\:\tan^{3}(d)xdx
d/(dθ)(r(θ)cos(θ))
\frac{d}{dθ}(r(θ)\cos(θ))
3x+y-2+y^'(x-1)=0
3x+y-2+y^{\prime\:}(x-1)=0
integral from 1 to 2 of pi(2-1/2 x)^2
\int\:_{1}^{2}π(2-\frac{1}{2}x)^{2}dx
tangent of x=fxx^3-4x,(-2,0)
tangent\:x=fxx^{3}-4x,(-2,0)
limit as x approaches 10-of 9/(x-10)
\lim\:_{x\to\:10-}(\frac{9}{x-10})
derivative of sqrt((7-x^2))
\frac{d}{dx}(\sqrt{(7-x^{2})})
derivative of 1-x
derivative\:1-x
derivative of f(x)=(6x-4)^4
derivative\:f(x)=(6x-4)^{4}
limit as x approaches infinity of (pi/2-arctan(x))^{1/(ln(x))}
\lim\:_{x\to\:\infty\:}((\frac{π}{2}-\arctan(x))^{\frac{1}{\ln(x)}})
(\partial)/(\partial x)(5ye^{6x})
\frac{\partial\:}{\partial\:x}(5ye^{6x})
derivative of csc(10x)
\frac{d}{dx}(\csc(10x))
tangent of y=x^3+3x^2
tangent\:y=x^{3}+3x^{2}
(\partial)/(\partial x)((x^5+x-y)^6)
\frac{\partial\:}{\partial\:x}((x^{5}+x-y)^{6})
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