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Popular Calculus Problems
(\partial)/(\partial x)(x-2y+2z)
\frac{\partial\:}{\partial\:x}(x-2y+2z)
derivative of ((x^3-1/(x^3+1))^8)
\frac{d}{dx}((\frac{x^{3}-1}{x^{3}+1})^{8})
tangent of y=-3x^2+2
tangent\:y=-3x^{2}+2
limit as x approaches 0 of (5x)/(tan(x))
\lim\:_{x\to\:0}(\frac{5x}{\tan(x)})
integral of 2+tan^2(θ)
\int\:2+\tan^{2}(θ)dθ
derivative of (x^3/7)
\frac{d}{dx}(\frac{x^{3}}{7})
(\partial)/(\partial x)(xy^2e^{-xz})
\frac{\partial\:}{\partial\:x}(xy^{2}e^{-xz})
taylor arcsin(x)
taylor\:\arcsin(x)
y^'+y=5cos(2t),y(0)=3
y^{\prime\:}+y=5\cos(2t),y(0)=3
derivative of (x-3/(x^2+4x+4))
\frac{d}{dx}(\frac{x-3}{x^{2}+4x+4})
integral of 1/(sqrt(1-x^2-4x))
\int\:\frac{1}{\sqrt{1-x^{2}-4x}}dx
0.4241(y-25)+70x=-10845.81*(dy)/(dx)
0.4241(y-25)+70x=-10845.81\cdot\:\frac{dy}{dx}
integral of (3x^3-2x^2+x-5)/(x^2)
\int\:\frac{3x^{3}-2x^{2}+x-5}{x^{2}}dx
tangent of f(x)=(e^x)/(x^2),\at x=1
tangent\:f(x)=\frac{e^{x}}{x^{2}},\at\:x=1
sum from n=1 to infinity of 3/(5^n)
\sum\:_{n=1}^{\infty\:}\frac{3}{5^{n}}
integral of (3x^5)/(sqrt(1-12x^6))
\int\:\frac{3x^{5}}{\sqrt{1-12x^{6}}}dx
integral of 9xe^{-x^2}
\int\:9xe^{-x^{2}}dx
integral of ln(x+5)
\int\:\ln(x+5)dx
integral from 0 to 1 of 4/((x+1)(x^2+1))
\int\:_{0}^{1}\frac{4}{(x+1)(x^{2}+1)}dx
integral of (1/((1-x)^2))
\int\:(\frac{1}{(1-x)^{2}})dx
integral of 2t+5
\int\:2t+5dt
integral of (2x)/(x^2+y^2)
\int\:\frac{2x}{x^{2}+y^{2}}dy
derivative of sqrt(7x^3+4)
\frac{d}{dx}(\sqrt{7x^{3}+4})
integral of (18)/(x^2+4x-5)
\int\:\frac{18}{x^{2}+4x-5}dx
inverse oflaplace 1/((s^3+1)(s^2+1))
inverselaplace\:\frac{1}{(s^{3}+1)(s^{2}+1)}
derivative of x^2ln(4x+3)
derivative\:x^{2}\ln(4x+3)
integral of xsin(pix)
\int\:x\sin(πx)dx
(\partial)/(\partial x)(kln(sqrt(x^2+y^2)))
\frac{\partial\:}{\partial\:x}(k\ln(\sqrt{x^{2}+y^{2}}))
sum from n=1 to infinity of (-1/2)^{n+1}
\sum\:_{n=1}^{\infty\:}(-\frac{1}{2})^{n+1}
integral of cos^5(x)tan^4(x)
\int\:\cos^{5}(x)\tan^{4}(x)dx
(dy)/(dx)(1+e^x)=e^{x-y}
\frac{dy}{dx}(1+e^{x})=e^{x-y}
tangent of f(x)=e^x,\at x=ln(2)
tangent\:f(x)=e^{x},\at\:x=\ln(2)
(\partial)/(\partial x)(2x-ye^y)
\frac{\partial\:}{\partial\:x}(2x-ye^{y})
area in(2x),(0,2)
area\:in(2x),(0,2)
(dy)/(dx)=3(1+y)(1-x)
\frac{dy}{dx}=3(1+y)(1-x)
integral of 1/(xsqrt(36x^2-36))
\int\:\frac{1}{x\sqrt{36x^{2}-36}}dx
integral of x/(x+15)
\int\:\frac{x}{x+15}dx
integral of (x+sin(x))/(1+cos(x))
\int\:\frac{x+\sin(x)}{1+\cos(x)}dx
2y^{''}+5y^'-3y=0,y(0)=-7,y^'(0)=28
2y^{\prime\:\prime\:}+5y^{\prime\:}-3y=0,y(0)=-7,y^{\prime\:}(0)=28
(2e^{2x})^'
(2e^{2x})^{\prime\:}
derivative of-9(6x^2+7)^{-6}
derivative\:-9(6x^{2}+7)^{-6}
derivative of (x^2+y^2)^2
derivative\:(x^{2}+y^{2})^{2}
(\partial)/(\partial y)(3ze^{xyz})
\frac{\partial\:}{\partial\:y}(3ze^{xyz})
tangent of (x^2)/(x+8)
tangent\:\frac{x^{2}}{x+8}
x^'=e^x
x^{\prime\:}=e^{x}
integral of 12x^2
\int\:12x^{2}dx
integral of-8tan^2(x)
\int\:-8\tan^{2}(x)dx
derivative of-6sin(pi/(12x)+18)
\frac{d}{dx}(-6\sin(\frac{π}{12}x)+18)
integral from 0 to pi/2 of cos^5(y)
\int\:_{0}^{\frac{π}{2}}\cos^{5}(y)dy
integral of 8*sin^4(x)
\int\:8\cdot\:\sin^{4}(x)dx
derivative of (x^7)/a+a/b x^6-cx
derivative\:\frac{x^{7}}{a}+\frac{a}{b}x^{6}-cx
laplacetransform cos(t-1)
laplacetransform\:\cos(t-1)
integral of 1/(sqrt(x^2-324))
\int\:\frac{1}{\sqrt{x^{2}-324}}dx
derivative of (x^2-6e^{8x})
\frac{d}{dx}((x^{2}-6)e^{8x})
integral of 0x
\int\:0xdx
derivative of y=x^2(5x-1)^3
derivative\:y=x^{2}(5x-1)^{3}
derivative of f(x)=(3x+1)(5x+4)
derivative\:f(x)=(3x+1)(5x+4)
limit as x approaches 0 of cos(x^2+x)
\lim\:_{x\to\:0}(\cos(x^{2}+x))
integral of (sqrt(1-x^2))/x
\int\:\frac{\sqrt{1-x^{2}}}{x}dx
(\partial)/(\partial x)(-9e^xcos(yz))
\frac{\partial\:}{\partial\:x}(-9e^{x}\cos(yz))
integral of x^4ln(x)
\int\:x^{4}\ln(x)dx
integral of (x^2+2x+3)/((x^2+16)^2)
\int\:\frac{x^{2}+2x+3}{(x^{2}+16)^{2}}dx
derivative of sec^3(x)
derivative\:\sec^{3}(x)
(\partial)/(\partial x)(2xy^5+3x^2y+x^2)
\frac{\partial\:}{\partial\:x}(2xy^{5}+3x^{2}y+x^{2})
y^{''}+9y=6tan(3x)
y^{\prime\:\prime\:}+9y=6\tan(3x)
integral of e^{i6x}cos(5x)
\int\:e^{i6x}\cos(5x)dx
integral of x^2(8x-3)
\int\:x^{2}(8x-3)dx
integral of (x^3+2)/(x^3)sqrt(x-1/(x^2))
\int\:\frac{x^{3}+2}{x^{3}}\sqrt{x-\frac{1}{x^{2}}}dx
integral of sin^6(5x)
\int\:\sin^{6}(5x)dx
integral of 1/((sin(x))^2)
\int\:\frac{1}{(\sin(x))^{2}}dx
sum from n=1 to infinity of (2/3)^{n+1}
\sum\:_{n=1}^{\infty\:}(\frac{2}{3})^{n+1}
derivative of f(x)=sin(x^2+2x+3)
derivative\:f(x)=\sin(x^{2}+2x+3)
area y=2x^2-1,[0,1]
area\:y=2x^{2}-1,[0,1]
tangent of y=(x^2)/(2-x^2)
tangent\:y=\frac{x^{2}}{2-x^{2}}
y^{''}+4y=xsin(2x)
y^{\prime\:\prime\:}+4y=x\sin(2x)
derivative of 6+4x-x^2
\frac{d}{dx}(6+4x-x^{2})
derivative of \sqrt[4]{2x-1}
\frac{d}{dx}(\sqrt[4]{2x-1})
limit as x approaches 3 of (3x)/(x-3)
\lim\:_{x\to\:3}(\frac{3x}{x-3})
integral of (x+1)/(x^2+3)
\int\:\frac{x+1}{x^{2}+3}dx
derivative of (3x^3+9x^2/x)
\frac{d}{dx}(\frac{3x^{3}+9x^{2}}{x})
derivative of arctan((1-2x/2))
\frac{d}{dx}(\arctan(\frac{1-2x}{2}))
derivative of \sqrt[3]{x}+\sqrt[5]{x}
\frac{d}{dx}(\sqrt[3]{x}+\sqrt[5]{x})
taylor x/(1+x),1
taylor\:\frac{x}{1+x},1
integral from 0 to 9/2 of sqrt(81-x^2)
\int\:_{0}^{\frac{9}{2}}\sqrt{81-x^{2}}dx
(dx)/(dt)=0.6-(3x)/(500)
\frac{dx}{dt}=0.6-\frac{3x}{500}
(dy)/(dx)=8x(y-3)
\frac{dy}{dx}=8x(y-3)
integral of 3/4 x^2-5x^2
\int\:\frac{3}{4}x^{2}-5x^{2}dx
y^'=-y^2+6
y^{\prime\:}=-y^{2}+6
integral of (x^2)/(sqrt(x^2-2))
\int\:\frac{x^{2}}{\sqrt{x^{2}-2}}dx
derivative of y=(3x)/(sqrt(1-x))
derivative\:y=\frac{3x}{\sqrt{1-x}}
(\partial)/(\partial x)(cosh(y)+x-2)
\frac{\partial\:}{\partial\:x}(\cosh(y)+x-2)
integral from pi/4 to pi of (sin(x))
\int\:_{\frac{π}{4}}^{π}(\sin(x))dx
integral from 4 to infinity of e^{5x}
\int\:_{4}^{\infty\:}e^{5x}dx
integral of (2+x^2)/(1+x^2)
\int\:\frac{2+x^{2}}{1+x^{2}}dx
integral of ((sqrt(x))/2+2/(sqrt(x)))
\int\:(\frac{\sqrt{x}}{2}+\frac{2}{\sqrt{x}})dx
(\partial)/(\partial x)(((2xy))/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{(2xy)}{x^{2}+y^{2}})
derivative of (2-x/((3-x)^4))
\frac{d}{dx}(\frac{2-x}{(3-x)^{4}})
derivative of 5xe^{-x}
\frac{d}{dx}(5xe^{-x})
integral from-4 to-1 of-4/(x^3)
\int\:_{-4}^{-1}-\frac{4}{x^{3}}dx
y^'+3y=e^t
y^{\prime\:}+3y=e^{t}
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