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Popular Calculus Problems
integral of x/((3x^2-4)^4)
\int\:\frac{x}{(3x^{2}-4)^{4}}dx
integral of (4x^2-3cos(x))
\int\:(4x^{2}-3\cos(x))dx
integral of sin(10x)cos(5x)
\int\:\sin(10x)\cos(5x)dx
f(x)=e^{ln(sin(x^2))}sqrt(2x+1)
f(x)=e^{\ln(\sin(x^{2}))}\sqrt{2x+1}
integral of e^{4x}cos(6x)
\int\:e^{4x}\cos(6x)dx
(dx)/(dt)=3xt^2
\frac{dx}{dt}=3xt^{2}
limit as x approaches-3 of-6/(x+3)
\lim\:_{x\to\:-3}(-\frac{6}{x+3})
integral of 4/(x^2)cos(4/x)
\int\:\frac{4}{x^{2}}\cos(\frac{4}{x})dx
integral from 0 to pi of sin(x)sin(nx)
\int\:_{0}^{π}\sin(x)\sin(nx)dx
integral of (4x-3)^6
\int\:(4x-3)^{6}dx
tangent of f(x)= 6/x ,\at x=1
tangent\:f(x)=\frac{6}{x},\at\:x=1
limit as x approaches 4-of (x-4)/(x-1)
\lim\:_{x\to\:4-}(\frac{x-4}{x-1})
derivative of y= 1/(sqrt(x))
derivative\:y=\frac{1}{\sqrt{x}}
integral of 7x^2-3x+8+1/x+2/(x^2)
\int\:7x^{2}-3x+8+\frac{1}{x}+\frac{2}{x^{2}}dx
derivative of e^{-x}-x^2
\frac{d}{dx}(e^{-x}-x^{2})
integral from 0 to 0.6 of 400x
\int\:_{0}^{0.6}400xdx
inverse oflaplace e^{-5s}
inverselaplace\:e^{-5s}
(\partial)/(\partial x)(y/(2x+3y))
\frac{\partial\:}{\partial\:x}(\frac{y}{2x+3y})
sum from n=1 to infinity}((\sqrt{n of+4))/(n^2)
\sum\:_{n=1}^{\infty\:}\frac{(\sqrt{n}+4)}{n^{2}}
integral of (e^x)/(e^x+1)
\int\:\frac{e^{x}}{e^{x}+1}dx
integral of (cos(6x))/(sin(6x))
\int\:\frac{\cos(6x)}{\sin(6x)}dx
integral of 2x-6x^3
\int\:2x-6x^{3}dx
derivative of 2pi-xcos(x)
\frac{d}{dx}(2π-x\cos(x))
cos^2(x)sin(x)(dy)/(dx)cos^3(x)y=1
\cos^{2}(x)\sin(x)\frac{dy}{dx}\cos^{3}(x)y=1
laplacetransform \H(t-2pi)sin(t-2pi)
laplacetransform\:\H(t-2π)\sin(t-2π)
derivative of (2+x/((2-x)^5))
\frac{d}{dx}(\frac{2+x}{(2-x)^{5}})
integral from 1 to 5 of M/(e^M)
\int\:_{1}^{5}\frac{M}{e^{M}}dM
integral of 1/(x(a+bx))
\int\:\frac{1}{x(a+bx)}dx
limit as x approaches 1 of (sqrt(x)-8)/(\sqrt[3]{x)-4}
\lim\:_{x\to\:1}(\frac{\sqrt{x}-8}{\sqrt[3]{x}-4})
integral of (x^2-5x)e^x
\int\:(x^{2}-5x)e^{x}dx
5x-4ysqrt(x^2+1)(dy)/(dx)=0
5x-4y\sqrt{x^{2}+1}\frac{dy}{dx}=0
(\partial)/(\partial x)(2x^2yz)
\frac{\partial\:}{\partial\:x}(2x^{2}yz)
derivative of ln(5x^2+6)
\frac{d}{dx}(\ln(5x^{2}+6))
(\partial)/(\partial y)(xy+z)
\frac{\partial\:}{\partial\:y}(xy+z)
derivative of y=x^2ln(7x)
derivative\:y=x^{2}\ln(7x)
limit as a approaches infinity of a^2
\lim\:_{a\to\:\infty\:}(a^{2})
integral of t^2e^{4t}
\int\:t^{2}e^{4t}dt
integral of 9xe^{6x}
\int\:9xe^{6x}dx
(dy)/(dx)=4+e^{y-4x+5}
\frac{dy}{dx}=4+e^{y-4x+5}
derivative of e^{5-2x}
\frac{d}{dx}(e^{5-2x})
limit as x approaches-infinity of-8x
\lim\:_{x\to\:-\infty\:}(-8x)
integral from 0 to 4 of pi(4-y)
\int\:_{0}^{4}π(4-y)dy
(\partial)/(\partial x)((4x)/(sqrt(x^2+2)))
\frac{\partial\:}{\partial\:x}(\frac{4x}{\sqrt{x^{2}+2}})
f(x)=sqrt(5x+1)
f(x)=\sqrt{5x+1}
integral of sec^4(3x)tan^3(3x)
\int\:\sec^{4}(3x)\tan^{3}(3x)dx
derivative of 6e^{-x}
\frac{d}{dx}(6e^{-x})
area y=5x,y= 1/7 x,y=50-x^2
area\:y=5x,y=\frac{1}{7}x,y=50-x^{2}
d/(dθ)(sin(θ)+tan(θ))
\frac{d}{dθ}(\sin(θ)+\tan(θ))
integral of 1/(sqrt(x^2-2x-8))
\int\:\frac{1}{\sqrt{x^{2}-2x-8}}dx
(\partial)/(\partial x)(3ln(sqrt(x^2+y^2)))
\frac{\partial\:}{\partial\:x}(3\ln(\sqrt{x^{2}+y^{2}}))
integral of (x^3)/(x-1)
\int\:\frac{x^{3}}{x-1}dx
(8-6y+e^{-3x})dx-2dy=0
(8-6y+e^{-3x})dx-2dy=0
derivative of (3x-x^3+1^4)
\frac{d}{dx}((3x-x^{3}+1)^{4})
integral of (40-2/(sec(θ)))
\int\:(40-\frac{2}{\sec(θ)})dθ
(5+x^8)(dy}{dx}=\frac{x^7)/y
(5+x^{8})\frac{dy}{dx}=\frac{x^{7}}{y}
limit as x approaches 2 of 3
\lim\:_{x\to\:2}(3)
sum from n=0 to infinity of (100)/n
\sum\:_{n=0}^{\infty\:}\frac{100}{n}
tangent of f(x)= 4/(sqrt(x)),\at x= 1/4
tangent\:f(x)=\frac{4}{\sqrt{x}},\at\:x=\frac{1}{4}
tangent of \sqrt[5]{2x^3+8x}(2.2)
tangent\:\sqrt[5]{2x^{3}+8x}(2.2)
limit as n approaches infinity of 5ne^{-n}
\lim\:_{n\to\:\infty\:}(5ne^{-n})
sum from n=1 to infinity of 4/(2^n)
\sum\:_{n=1}^{\infty\:}\frac{4}{2^{n}}
integral of x/(sqrt(1+x^4))
\int\:\frac{x}{\sqrt{1+x^{4}}}dx
derivative of 5xy^2
\frac{d}{dx}(5xy^{2})
integral of 1/(x^2-6x+5)
\int\:\frac{1}{x^{2}-6x+5}dx
derivative of 7(x^2+3x)^6(2x+3)
derivative\:7(x^{2}+3x)^{6}(2x+3)
integral of e^{x/(60)}
\int\:e^{\frac{x}{60}}dx
derivative of x^4a^5+y^3a+z^6
derivative\:x^{4}a^{5}+y^{3}a+z^{6}
y^{''}+y=xcos^3(x)
y^{\prime\:\prime\:}+y=x\cos^{3}(x)
derivative of sin^2(7x)
derivative\:\sin^{2}(7x)
integral of cos(x)sqrt(25-sin^2(x))
\int\:\cos(x)\sqrt{25-\sin^{2}(x)}dx
derivative of f(t)=(9t+2)^{2/3}
derivative\:f(t)=(9t+2)^{\frac{2}{3}}
derivative of tan(6x)
derivative\:\tan(6x)
limit as x approaches 0 of (sin(7x))/(tan(x))
\lim\:_{x\to\:0}(\frac{\sin(7x)}{\tan(x)})
integral of (2x^2+x-8)/(x^3-4x)
\int\:\frac{2x^{2}+x-8}{x^{3}-4x}dx
(2x-1)y^'+y^2=0
(2x-1)y^{\prime\:}+y^{2}=0
limit as x approaches 4+of 1
\lim\:_{x\to\:4+}(1)
integral of (sqrt(1+x))/(x^2)
\int\:\frac{\sqrt{1+x}}{x^{2}}dx
(\partial)/(\partial x)(3x^4+5y^4+9xy)
\frac{\partial\:}{\partial\:x}(3x^{4}+5y^{4}+9xy)
y^{''}-5y^'+6y=e^x
y^{\prime\:\prime\:}-5y^{\prime\:}+6y=e^{x}
integral of (8x-3)/(sqrt(12x-4x^2-5))
\int\:\frac{8x-3}{\sqrt{12x-4x^{2}-5}}dx
d/(dX)((8X^2+2X+8)/(sqrt(X)))
\frac{d}{dX}(\frac{8X^{2}+2X+8}{\sqrt{X}})
laplacetransform (t-5)/5
laplacetransform\:\frac{t-5}{5}
integral of sin^3(11x)
\int\:\sin^{3}(11x)dx
integral from-3 to 3 of (9-x^2)
\int\:_{-3}^{3}(9-x^{2})dx
derivative of pi/2
derivative\:\frac{π}{2}
limit as x approaches-2 of (x+2)/(x^2-4)
\lim\:_{x\to\:-2}(\frac{x+2}{x^{2}-4})
limit as x approaches 3 of-(3-x)
\lim\:_{x\to\:3}(-(3-x))
derivative of f(x)=-2x^2-20x-48
derivative\:f(x)=-2x^{2}-20x-48
integral of x^2e^2x
\int\:x^{2}e^{2}xdx
integral from-infinity to 3 of 1/(x^2+9)
\int\:_{-\infty\:}^{3}\frac{1}{x^{2}+9}dx
limit as x approaches 0 of 3-4x
\lim\:_{x\to\:0}(3-4x)
(dy)/(dt)+y=cos(t)
\frac{dy}{dt}+y=\cos(t)
limit as x approaches 0 of (x|x|)/x
\lim\:_{x\to\:0}(\frac{x\left|x\right|}{x})
integral of 1/(x^2+7x-6)
\int\:\frac{1}{x^{2}+7x-6}dx
integral of (sin(y))/(2-cos(y))
\int\:\frac{\sin(y)}{2-\cos(y)}dy
integral from 0 to 3 of x^3
\int\:_{0}^{3}x^{3}dx
((x-2ln(x)-1)/(x-1))^'
(\frac{x-2\ln(x)-1}{x-1})^{\prime\:}
derivative of x^7e^{4x}
\frac{d}{dx}(x^{7}e^{4x})
integral of x^5sin(x^6)
\int\:x^{5}\sin(x^{6})dx
derivative of 3/(((56(2x-1)^7))-1/(((24)(2x-1)^6))-1/(((40(2x-1)^5))))
\frac{d}{dx}(\frac{3}{((56)(2x-1)^{7})}-\frac{1}{((24)(2x-1)^{6})}-\frac{1}{((40(2x-1)^{5}))})
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