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Popular Calculus Problems
(\partial)/(\partial u)(ln(ucos(v)))
\frac{\partial\:}{\partial\:u}(\ln(u\cos(v)))
derivative of 5xe^x
derivative\:5xe^{x}
integral of 2/(2-e^x)
\int\:\frac{2}{2-e^{x}}dx
integral of sin^4(u)
\int\:\sin^{4}(u)du
derivative of 8x-2x^3
\frac{d}{dx}(8x-2x^{3})
derivative of (3x/(1-x))
\frac{d}{dx}(\frac{3x}{1-x})
integral of e^{1/x}
\int\:e^{\frac{1}{x}}dx
derivative of (5+6x)^2
derivative\:(5+6x)^{2}
(\partial)/(\partial x)(ln(xy^2z^3))
\frac{\partial\:}{\partial\:x}(\ln(xy^{2}z^{3}))
derivative of 7cos(3x)
\frac{d}{dx}(7\cos(3x))
derivative of y(θ)=4sin(θ)-3cos(θ)
derivative\:y(θ)=4\sin(θ)-3\cos(θ)
integral of 4sec^2(4x)sqrt(tan(4x))
\int\:4\sec^{2}(4x)\sqrt{\tan(4x)}dx
integral of 10sin(x)
\int\:10\sin(x)dx
integral of 2sin(x)-sec^2(x)
\int\:2\sin(x)-\sec^{2}(x)dx
integral of 2tan(x)sec^3(x)
\int\:2\tan(x)\sec^{3}(x)dx
derivative of pi/((2x^5))
\frac{d}{dx}(\frac{π}{(2x)^{5}})
integral from 1 to 2 of 1/(2x-1)
\int\:_{1}^{2}\frac{1}{2x-1}dx
integral of sqrt(27-x^2)
\int\:\sqrt{27-x^{2}}dx
integral of x^4sin(4x)
\int\:x^{4}\sin(4x)dx
integral of 1/(x^2sqrt(x^2-15))
\int\:\frac{1}{x^{2}\sqrt{x^{2}-15}}dx
integral of (2x-3)/(sqrt(1-x^2))
\int\:\frac{2x-3}{\sqrt{1-x^{2}}}dx
area 1/x ,x^2,[1,e]
area\:\frac{1}{x},x^{2},[1,e]
derivative of 7cos(7x)
\frac{d}{dx}(7\cos(7x))
integral of-7x
\int\:-7xdx
derivative of 1/(sqrt(x-9))
derivative\:\frac{1}{\sqrt{x-9}}
derivative of 2xlog_{6}(sqrt(x))
\frac{d}{dx}(2x\log_{6}(\sqrt{x}))
integral of sin(2x+5)
\int\:\sin(2x+5)dx
normal of y=sqrt(x),\at x=4
normal\:y=\sqrt{x},\at\:x=4
integral of (7x+6)/(x^2(x+2))
\int\:\frac{7x+6}{x^{2}(x+2)}dx
(\partial)/(\partial t)(t^2e^{-x})
\frac{\partial\:}{\partial\:t}(t^{2}e^{-x})
derivative of sqrt(1-5x)
\frac{d}{dx}(\sqrt{1-5x})
(dy)/(dx)= 1/(x(ln(2)))
\frac{dy}{dx}=\frac{1}{x(\ln(2))}
integral of ((2x+3))/(x+2)
\int\:\frac{(2x+3)}{x+2}dx
derivative of cosh(x)
\frac{d}{dx}(\cosh(x))
derivative of 7cos^2(x)
\frac{d}{dx}(7\cos^{2}(x))
f^{''}(x)=2,f^'(2)=5,f(2)=10
f^{\prime\:\prime\:}(x)=2,f^{\prime\:}(2)=5,f(2)=10
(\partial)/(\partial s)(7/s)
\frac{\partial\:}{\partial\:s}(\frac{7}{s})
derivative of 4x^4+1/3 x^3+x+1
\frac{d}{dx}(4x^{4}+\frac{1}{3}x^{3}+x+1)
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h
integral of e^{ex}
\int\:e^{ex}dx
integral of (cos(3x)+3)/(sin(3x))
\int\:\frac{\cos(3x)+3}{\sin(3x)}dx
integral of e^{-3x}+2x
\int\:e^{-3x}+2xdx
integral of cos(t-x)
\int\:\cos(t-x)dx
derivative of f(x)=7x-5
derivative\:f(x)=7x-5
derivative of 1/(ln(2))
\frac{d}{dx}(\frac{1}{\ln(2)})
derivative of f(x)=1100(sqrt(x^2-0.2x))
derivative\:f(x)=1100(\sqrt{x^{2}-0.2x})
tangent of y=-2sin(x),\at x= 3/4 pi
tangent\:y=-2\sin(x),\at\:x=\frac{3}{4}π
sum from n=0 to infinity of (4n)/(-4n+7)
\sum\:_{n=0}^{\infty\:}\frac{4n}{-4n+7}
derivative of f(x)=30+10e^{-0.05x}
derivative\:f(x)=30+10e^{-0.05x}
limit as x approaches 0 of (f(x))/x
\lim\:_{x\to\:0}(\frac{f(x)}{x})
limit as x approaches-2 of sqrt(x(x-1))
\lim\:_{x\to\:-2}(\sqrt{x(x-1)})
derivative of (2000x)/(4x+75)
derivative\:\frac{2000x}{4x+75}
d/(dy)(1-e^y)
\frac{d}{dy}(1-e^{y})
derivative of (2x+1)/((x^2+1)^{1.5)}
derivative\:\frac{2x+1}{(x^{2}+1)^{1.5}}
integral of-1/(6-x)
\int\:-\frac{1}{6-x}dx
limit as x approaches infinity of 10000
\lim\:_{x\to\:\infty\:}(10000)
integral from 0 to pi/8 of sin(8x)
\int\:_{0}^{\frac{π}{8}}\sin(8x)dx
derivative of 5/(1-9x)
\frac{d}{dx}(\frac{5}{1-9x})
derivative of cos(x^2-5)
derivative\:\cos(x^{2}-5)
integral from-1 to 1 of (e^x)/(e^x-1)
\int\:_{-1}^{1}\frac{e^{x}}{e^{x}-1}dx
integral from 3 to 7 of xsqrt(x-3)
\int\:_{3}^{7}x\sqrt{x-3}dx
derivative of e^{cos^2(x})
\frac{d}{dx}(e^{\cos^{2}(x)})
derivative of 5ln(x+cos(x))
\frac{d}{dx}(5\ln(x)+\cos(x))
integral of 1/(sqrt(x^2+14x))
\int\:\frac{1}{\sqrt{x^{2}+14x}}dx
integral of e^{2u}
\int\:e^{2u}du
maclaurin e^x*sin(2x)
maclaurin\:e^{x}\cdot\:\sin(2x)
laplacetransform f(t)=t^2+6t-3
laplacetransform\:f(t)=t^{2}+6t-3
tangent of f(x)=2x^4,(-2,32)
tangent\:f(x)=2x^{4},(-2,32)
derivative of 18xe^{x^2}
\frac{d}{dx}(18xe^{x^{2}})
integral of 3e^x-sin(x)
\int\:3e^{x}-\sin(x)dx
limit as n approaches infinity of ((cos(1/n)-1))/(1/n)
\lim\:_{n\to\:\infty\:}(\frac{(\cos(\frac{1}{n})-1)}{\frac{1}{n}})
integral of (r^2-10r+4)/(r^3)
\int\:\frac{r^{2}-10r+4}{r^{3}}dr
integral of (4x-3)^5
\int\:(4x-3)^{5}dx
integral of cos(nwt)
\int\:\cos(nwt)dt
y^{''}+9y=3sin(3t)
y^{\prime\:\prime\:}+9y=3\sin(3t)
derivative of ln(16)
\frac{d}{dx}(\ln(16))
integral of (sqrt(49x^2-100))/(x^3)
\int\:\frac{\sqrt{49x^{2}-100}}{x^{3}}dx
sum from n=0 to infinity of (2n)!(x/7)^n
\sum\:_{n=0}^{\infty\:}(2n)!(\frac{x}{7})^{n}
integral of 1/(\sqrt[4]{x)}
\int\:\frac{1}{\sqrt[4]{x}}dx
(\partial)/(\partial x)(x*arctan(y/x))
\frac{\partial\:}{\partial\:x}(x\cdot\:\arctan(\frac{y}{x}))
laplacetransform 3cos(3t)
laplacetransform\:3\cos(3t)
integral of 1/(x^2-8x+1)
\int\:\frac{1}{x^{2}-8x+1}dx
derivative of y=ln(7x^2+3y^2)
derivative\:y=\ln(7x^{2}+3y^{2})
integral of ((3*ln(x)-5)^4)/x
\int\:\frac{(3\cdot\:\ln(x)-5)^{4}}{x}dx
integral from 1 to 6 of t^4ln(4t)
\int\:_{1}^{6}t^{4}\ln(4t)dt
derivative of 5pi^2
\frac{d}{dx}(5π^{2})
integral of xe^{9x}
\int\:xe^{9x}dx
inverse oflaplace (4s)/(s^2-16)
inverselaplace\:\frac{4s}{s^{2}-16}
derivative of sin(x+pi/2-cos(x))
\frac{d}{dx}(\sin(x+\frac{π}{2})-\cos(x))
derivative of 1-3x^2
derivative\:1-3x^{2}
integral from 0 to 4 of 2^s
\int\:_{0}^{4}2^{s}ds
integral from 0 to 2 of 4x-x^3
\int\:_{0}^{2}4x-x^{3}dx
derivative of e^t(cos(t))
derivative\:e^{t}(\cos(t))
derivative of sin(-1(6x+1))
derivative\:\sin(-1(6x+1))
inverse oflaplace 2/(s(s+2))
inverselaplace\:\frac{2}{s(s+2)}
limit as x approaches-7+of ((-6x))/(x+7)
\lim\:_{x\to\:-7+}(\frac{(-6x)}{x+7})
limit as x approaches 0+of (1-8x)^{1/x}
\lim\:_{x\to\:0+}((1-8x)^{\frac{1}{x}})
derivative of arcsec(e^x)
\frac{d}{dx}(\arcsec(e^{x}))
derivative of sin(-2ln(1-2x))
\frac{d}{dx}(\sin(-2\ln(1-2x)))
derivative of 4x(x^2-1)
derivative\:4x(x^{2}-1)
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