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Popular Calculus Problems
(\partial)/(\partial x)(xe^{y/z})
\frac{\partial\:}{\partial\:x}(xe^{\frac{y}{z}})
(\partial)/(\partial x)(arcsin(x/(y^2)))
\frac{\partial\:}{\partial\:x}(\arcsin(\frac{x}{y^{2}}))
derivative of Axe^{-x}
\frac{d}{dx}(Axe^{-x})
derivative of y=e^pi
derivative\:y=e^{π}
limit as x approaches pi/2 of (sin(x)-cos(x))^{tan(x)}
\lim\:_{x\to\:\frac{π}{2}}((\sin(x)-\cos(x))^{\tan(x)})
integral of 8xe^{9x}
\int\:8xe^{9x}dx
taylor sqrt(x),8
taylor\:\sqrt{x},8
limit as x approaches 0 of ((484+x)^{0.5}-22)/x
\lim\:_{x\to\:0}(\frac{(484+x)^{0.5}-22}{x})
tangent of f(x)=x^4-10x^2+9,\at x=2
tangent\:f(x)=x^{4}-10x^{2}+9,\at\:x=2
limit as x approaches 2 of 3/((x-2)^2)
\lim\:_{x\to\:2}(\frac{3}{(x-2)^{2}})
integral of 2sqrt(x+1)
\int\:2\sqrt{x+1}dx
derivative of arctan(sqrt(7x^2-1))
\frac{d}{dx}(\arctan(\sqrt{7x^{2}-1}))
derivative of (8x^2+2x+4/(sqrt(x)))
\frac{d}{dx}(\frac{8x^{2}+2x+4}{\sqrt{x}})
integral of (4x-1)/((x+9)(x+2))
\int\:\frac{4x-1}{(x+9)(x+2)}dx
integral from 3 to 4 of-x^2+7x-12
\int\:_{3}^{4}-x^{2}+7x-12dx
integral of 9x^2ln(x)
\int\:9x^{2}\ln(x)dx
limit as x approaches 6+of ln(x^2-36)
\lim\:_{x\to\:6+}(\ln(x^{2}-36))
y^'+xy=x
y^{\prime\:}+xy=x
tangent of y=7e^{1-x^2},\at
tangent\:y=7e^{1-x^{2}},\at\:
derivative of (1-x/2 ^{e^{x^2}})
\frac{d}{dx}((1-\frac{x}{2})^{e^{x^{2}}})
x(dy)/(dx)+(3x+1)y=e^{3x}
x\frac{dy}{dx}+(3x+1)y=e^{3x}
(6y+2t-7)dt+(8y+6t-1)dy=0
(6y+2t-7)dt+(8y+6t-1)dy=0
integral of x/(sqrt(3-2x-x^2))
\int\:\frac{x}{\sqrt{3-2x-x^{2}}}dx
y^'=ty^2
y^{\prime\:}=ty^{2}
integral from 2 to 1/x of arctan(t)
\int\:_{2}^{\frac{1}{x}}\arctan(t)dt
(cos(pi))^'
(\cos(π))^{\prime\:}
integral from-5 to 0 of (4+sqrt(25-x^2))
\int\:_{-5}^{0}(4+\sqrt{25-x^{2}})dx
limit as x approaches 8 of (x+9)/(x-8)
\lim\:_{x\to\:8}(\frac{x+9}{x-8})
y^{''}+256y=7cos(5t)
y^{\prime\:\prime\:}+256y=7\cos(5t)
inverse oflaplace (10)/(s^2+25)+4/(s-3)
inverselaplace\:\frac{10}{s^{2}+25}+\frac{4}{s-3}
integral of (sqrt(x^2-25))/x
\int\:\frac{\sqrt{x^{2}-25}}{x}dx
integral of 1064-0.005x
\int\:1064-0.005xdx
derivative of x^2+4x
derivative\:x^{2}+4x
inverse oflaplace 8/((2s+1)^3)
inverselaplace\:\frac{8}{(2s+1)^{3}}
(\partial)/(\partial x)(2x+3y-4)
\frac{\partial\:}{\partial\:x}(2x+3y-4)
derivative of f(x) 2/(sqrt(x))
derivative\:f(x)\frac{2}{\sqrt{x}}
derivative of (x^2-2x-3)/((x-1)^2)
derivative\:\frac{x^{2}-2x-3}{(x-1)^{2}}
144y^{'''}+168y^{''}+49y^'=0
144y^{\prime\:\prime\:\prime\:}+168y^{\prime\:\prime\:}+49y^{\prime\:}=0
derivative of (3x/(1+x^2))
\frac{d}{dx}(\frac{3x}{1+x^{2}})
x(dy)/(dx)=y+xe^x
x\frac{dy}{dx}=y+xe^{x}
derivative of 3/(sqrt(x+5))
\frac{d}{dx}(\frac{3}{\sqrt{x+5}})
integral of 19tan^3(x)
\int\:19\tan^{3}(x)dx
integral of (1-cos(θ))^3
\int\:(1-\cos(θ))^{3}dθ
x^{''}+bx=0
x^{\prime\:\prime\:}+bx=0
integral of (2x^2+3x+7)
\int\:(2x^{2}+3x+7)dx
tangent of y=x^2-3,(-1,-2)
tangent\:y=x^{2}-3,(-1,-2)
derivative of f(x)=7x^3e^{-x}
derivative\:f(x)=7x^{3}e^{-x}
integral of 1/(y^{1/2)}
\int\:\frac{1}{y^{\frac{1}{2}}}dy
integral of e^{2x}sin(e^{2x})
\int\:e^{2x}\sin(e^{2x})dx
integral of 4t^3+t
\int\:4t^{3}+tdt
derivative of y=10000+30xe^{x/(800)}
derivative\:y=10000+30xe^{\frac{x}{800}}
y^'-4/x y=(y^4)/(x^8)
y^{\prime\:}-\frac{4}{x}y=\frac{y^{4}}{x^{8}}
integral from 0 to y+z of 1/((z+y+x)^3)
\int\:_{0}^{y+z}\frac{1}{(z+y+x)^{3}}dx
y^'= 1/x y-((x^2)/3)y^4
y^{\prime\:}=\frac{1}{x}y-(\frac{x^{2}}{3})y^{4}
area x+2y=2,y-x=1,2x+y=7
area\:x+2y=2,y-x=1,2x+y=7
derivative of pi/(sqrt(x))
\frac{d}{dx}(\frac{π}{\sqrt{x}})
derivative of 5cos(pit)
derivative\:5\cos(πt)
integral from 0 to 3 of (x+1)(2x-3)
\int\:_{0}^{3}(x+1)(2x-3)dx
(\partial)/(\partial x)(4x^3y^3+3)
\frac{\partial\:}{\partial\:x}(4x^{3}y^{3}+3)
d/(dn)(2^n)
\frac{d}{dn}(2^{n})
longdivision (x-1)/(x+1)
longdivision\:\frac{x-1}{x+1}
xy^'=y+x^2sin(x),y(pi)=0
xy^{\prime\:}=y+x^{2}\sin(x),y(π)=0
limit as x approaches 0-of sqrt(x^2+4)
\lim\:_{x\to\:0-}(\sqrt{x^{2}+4})
derivative of e^{-4x^6}
\frac{d}{dx}(e^{-4x^{6}})
(dy)/(dx)+ay=b
\frac{dy}{dx}+ay=b
derivative of ln(sqrt((1-sin(x)/(1+sin(x)))))
\frac{d}{dx}(\ln(\sqrt{\frac{1-\sin(x)}{1+\sin(x)}}))
sum from n=0 to infinity of (7/8)^n
\sum\:_{n=0}^{\infty\:}(\frac{7}{8})^{n}
(\partial)/(\partial y)((z^2+2x+y)/(xy))
\frac{\partial\:}{\partial\:y}(\frac{z^{2}+2x+y}{xy})
(\partial)/(\partial x)(x^2+y-e^{x+y})
\frac{\partial\:}{\partial\:x}(x^{2}+y-e^{x+y})
integral of ((y-2)^2)/(sqrt(y))
\int\:\frac{(y-2)^{2}}{\sqrt{y}}dy
laplacetransform-5t^4
laplacetransform\:-5t^{4}
y=arctanh(1/(sqrt(x)))
y=\arctanh(\frac{1}{\sqrt{x}})
derivative of t/x
\frac{d}{dx}(\frac{t}{x})
derivative of y=(2x-5)^{1/3}
derivative\:y=(2x-5)^{\frac{1}{3}}
integral from-1 to 2 of x
\int\:_{-1}^{2}xdx
(\partial)/(\partial x)(1/2*x*y^2)
\frac{\partial\:}{\partial\:x}(\frac{1}{2}\cdot\:x\cdot\:y^{2})
limit as x approaches infinity of 4/x-2
\lim\:_{x\to\:\infty\:}(\frac{4}{x}-2)
tangent of 100x^2+400x+5000
tangent\:100x^{2}+400x+5000
integral of x/(x^4+6x^2+10)
\int\:\frac{x}{x^{4}+6x^{2}+10}dx
integral of 1/(sqrt(4-(u+3)))
\int\:\frac{1}{\sqrt{4-(u+3)}}du
derivative of 2sin^2(x/2)
\frac{d}{dx}(2\sin^{2}(\frac{x}{2}))
tangent of f(x)=(-6x)/(x^2+1),\at x=0
tangent\:f(x)=\frac{-6x}{x^{2}+1},\at\:x=0
integral of tan(θ)sec(θ)sec^2(θ)
\int\:\tan(θ)\sec(θ)\sec^{2}(θ)dθ
derivative of ln(4+ln(x))
\frac{d}{dx}(\ln(4+\ln(x)))
(\partial)/(\partial x)(axln(ax))
\frac{\partial\:}{\partial\:x}(ax\ln(ax))
integral of 49y
\int\:49ydy
laplacetransform e^{-4t}
laplacetransform\:e^{-4t}
integral of x/(2x^2-5)
\int\:\frac{x}{2x^{2}-5}dx
integral of x^2(x^2+2x)^2
\int\:x^{2}(x^{2}+2x)^{2}dx
tangent of f(x)=cos(3x)ln(x^4)
tangent\:f(x)=\cos(3x)\ln(x^{4})
integral of (3tan(θ)-4cos^2(θ))/(cos(θ))
\int\:\frac{3\tan(θ)-4\cos^{2}(θ)}{\cos(θ)}dθ
limit as x approaches 0+of (ln^2(x))/2
\lim\:_{x\to\:0+}(\frac{\ln^{2}(x)}{2})
(\partial)/(\partial y)(x^2+x/y)
\frac{\partial\:}{\partial\:y}(x^{2}+\frac{x}{y})
integral of x^{11}sqrt(x^6+6)
\int\:x^{11}\sqrt{x^{6}+6}dx
tangent of 2x^2-3x+4
tangent\:2x^{2}-3x+4
limit as x approaches 1 of (x-2)/(x-1)
\lim\:_{x\to\:1}(\frac{x-2}{x-1})
limit as x approaches 0+of ln(x)tan(x)
\lim\:_{x\to\:0+}(\ln(x)\tan(x))
limit as x approaches-4 of 2/((x+4)^6)
\lim\:_{x\to\:-4}(\frac{2}{(x+4)^{6}})
derivative of f(x)=(x^4+3x^2-9)^6
\frac{d}{dx}f(x)=(x^{4}+3x^{2}-9)^{6}
integral of (x^2-x-5)/(x^3+x^2-2)
\int\:\frac{x^{2}-x-5}{x^{3}+x^{2}-2}dx
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