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Popular Calculus Problems
integral of ((x-2)/(x(x^2+2)))
\int\:(\frac{x-2}{x(x^{2}+2)})dx
integral of 1/((u+1)^2)
\int\:\frac{1}{(u+1)^{2}}du
x^2y^'=1-x^2+y^2-x^2y^2
x^{2}y^{\prime\:}=1-x^{2}+y^{2}-x^{2}y^{2}
integral of x^2cos(1/3 x)
\int\:x^{2}\cos(\frac{1}{3}x)dx
(dy)/(dx)=-sin^2(x+y)
\frac{dy}{dx}=-\sin^{2}(x+y)
integral from-1 to 1 of sqrt(x+2)
\int\:_{-1}^{1}\sqrt{x+2}dx
derivative of sqrt(r)+\sqrt[7]{r}
derivative\:\sqrt{r}+\sqrt[7]{r}
limit as x approaches 2 of (2-x)/(2x^2-4)
\lim\:_{x\to\:2}(\frac{2-x}{2x^{2}-4})
area y=9x^2,y=x^2+6
area\:y=9x^{2},y=x^{2}+6
integral of cos^7(y)
\int\:\cos^{7}(y)dy
derivative of-5cot(x)
\frac{d}{dx}(-5\cot(x))
integral of y/((y+2)(3y-1))
\int\:\frac{y}{(y+2)(3y-1)}dy
(dx)/(dt)-0.06x=200
\frac{dx}{dt}-0.06x=200
derivative of 2+8/x+6/(x^2)
derivative\:2+\frac{8}{x}+\frac{6}{x^{2}}
(-sin(x))^'
(-\sin(x))^{\prime\:}
implicit (dy)/(dx),sqrt(x)+sqrt(y)=5
implicit\:\frac{dy}{dx},\sqrt{x}+\sqrt{y}=5
d/(ds)(sqrt(3)(s^3-s^2))
\frac{d}{ds}(\sqrt{3}(s^{3}-s^{2}))
integral of 9e^{-3x}
\int\:9e^{-3x}dx
derivative of 1/(1-x^2)
derivative\:\frac{1}{1-x^{2}}
y^{''}=-y+0.1y^'
y^{\prime\:\prime\:}=-y+0.1y^{\prime\:}
limit as x approaches 0 of 81x^4-216x^3+216x^2-96x+16
\lim\:_{x\to\:0}(81x^{4}-216x^{3}+216x^{2}-96x+16)
y^'-y=11te^{2t}
y^{\prime\:}-y=11te^{2t}
limit as n approaches infinity of 1/(4n)
\lim\:_{n\to\:\infty\:}(\frac{1}{4n})
integral of e^{(-x)/4}
\int\:e^{\frac{-x}{4}}dx
limit as x approaches (5pi)/6 of cos(x)
\lim\:_{x\to\:\frac{5π}{6}}(\cos(x))
d/(dy)(x/(y^2))
\frac{d}{dy}(\frac{x}{y^{2}})
sum from n=1 to infinity of 5/(n(n+6))
\sum\:_{n=1}^{\infty\:}\frac{5}{n(n+6)}
tangent of 2x^2+3xy+1y^3=-10,(-3,-4)
tangent\:2x^{2}+3xy+1y^{3}=-10,(-3,-4)
x^2y^{''}+xy^'+y=sec(ln(x))
x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+y=\sec(\ln(x))
derivative of (x+2/(x-3))
\frac{d}{dx}(\frac{x+2}{x-3})
derivative of ln^3(3x^2-5)
\frac{d}{dx}(\ln^{3}(3x^{2}-5))
integral of (x^2+2)^3
\int\:(x^{2}+2)^{3}dx
limit as x approaches 0 of (x-4)^3
\lim\:_{x\to\:0}((x-4)^{3})
y^'=((y^2+1))/x
y^{\prime\:}=\frac{(y^{2}+1)}{x}
limit as x approaches 1 of (1-(2ln(1+x))/x)/(x)
\lim\:_{x\to\:1}(\frac{1-\frac{2\ln(1+x)}{x}}{x})
integral of (12)/(sqrt(x))+12sqrt(x)
\int\:\frac{12}{\sqrt{x}}+12\sqrt{x}dx
area y= 1/(x^2),y=9,x=8
area\:y=\frac{1}{x^{2}},y=9,x=8
derivative of arcsec(2^x)
\frac{d}{dx}(\arcsec(2^{x}))
tangent of f(x)=5tan(x),\at x= pi/4
tangent\:f(x)=5\tan(x),\at\:x=\frac{π}{4}
inverse oflaplace 5
inverselaplace\:5
derivative of sqrt(9x-45)
\frac{d}{dx}(\sqrt{9x-45})
derivative of f(x)=4x^{-3}+x^2+14
derivative\:f(x)=4x^{-3}+x^{2}+14
derivative of e^{-2/3 x}
\frac{d}{dx}(e^{-\frac{2}{3}x})
derivative of (x^2-2sqrt(x)/x)
\frac{d}{dx}(\frac{x^{2}-2\sqrt{x}}{x})
limit as x approaches 0 of x^{4sin(x)}
\lim\:_{x\to\:0}(x^{4\sin(x)})
derivative of f(x)=(sqrt(x))/(x+8)
derivative\:f(x)=\frac{\sqrt{x}}{x+8}
integral of (x-3)/(\sqrt[3]{x^5)}
\int\:\frac{x-3}{\sqrt[3]{x^{5}}}dx
integral of tan^{3/2}(x)sec^4(x)
\int\:\tan^{\frac{3}{2}}(x)\sec^{4}(x)dx
integral of (3x+16)/(x^2-x-6)
\int\:\frac{3x+16}{x^{2}-x-6}dx
limit as x approaches 1 of 0.8x+1.2
\lim\:_{x\to\:1}(0.8x+1.2)
limit as x approaches 0 of cos(x)sin(x)
\lim\:_{x\to\:0}(\cos(x)\sin(x))
y^'=2y+3
y^{\prime\:}=2y+3
(dx)/(dt)=(a-b*t)x
\frac{dx}{dt}=(a-b\cdot\:t)x
derivative of (x^2+x^2)
\frac{d}{dx}((x^{2}+x)^{2})
sum from n=0 to infinity of (n^5)/(5^n)
\sum\:_{n=0}^{\infty\:}\frac{n^{5}}{5^{n}}
limit as t approaches-1 of ln(t+2)
\lim\:_{t\to\:-1}(\ln(t+2))
y=(z^2+1)/(z^2-1)
y=\frac{z^{2}+1}{z^{2}-1}
limit as x approaches-infinity of (x-8)/(x^2+6)
\lim\:_{x\to\:-\infty\:}(\frac{x-8}{x^{2}+6})
derivative of (dy/(dx))+y=-1
\frac{d}{dx}(\frac{dy}{dx})+y=-1
integral of (e^x+e)
\int\:(e^{x}+e)dx
(\partial)/(\partial x)(-(x-2)(y-2)(x+y-3))
\frac{\partial\:}{\partial\:x}(-(x-2)(y-2)(x+y-3))
integral of (4x)/(sqrt(3x^2-1))
\int\:\frac{4x}{\sqrt{3x^{2}-1}}dx
(\partial)/(\partial x)(e^{-4x})
\frac{\partial\:}{\partial\:x}(e^{-4x})
limit as x approaches pi/2 of 4sec(x)
\lim\:_{x\to\:\frac{π}{2}}(4\sec(x))
derivative of (4x/((x-1)^2))
\frac{d}{dx}(\frac{4x}{(x-1)^{2}})
derivative of y=\sqrt[3]{x}-1/(x^2)
derivative\:y=\sqrt[3]{x}-\frac{1}{x^{2}}
integral from 0 to 2 of sqrt(2x^2+1)
\int\:_{0}^{2}\sqrt{2x^{2}+1}dx
integral from 0 to 1 of x/(sqrt(1+x^2))
\int\:_{0}^{1}\frac{x}{\sqrt{1+x^{2}}}dx
integral of ((ln(x))^{36})/x
\int\:\frac{(\ln(x))^{36}}{x}dx
integral from-1 to 1 of (6-6x^2)^2
\int\:_{-1}^{1}(6-6x^{2})^{2}dx
limit as x approaches infinity of arctan(5)-arctan(x+1)
\lim\:_{x\to\:\infty\:}(\arctan(5)-\arctan(x+1))
8x^2y^'=y^'+5xe^{-y}
8x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
(dy)/(dx)+y^3x+2y=0
\frac{dy}{dx}+y^{3}x+2y=0
integral of 2/(sqrt(x))+(sqrt(x))/2
\int\:\frac{2}{\sqrt{x}}+\frac{\sqrt{x}}{2}dx
limit as x approaches pi/2 of (csc(4x))/(csc(2x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{\csc(4x)}{\csc(2x)})
tangent of f(x)=(2x-1)/(x+5),\at x=1
tangent\:f(x)=\frac{2x-1}{x+5},\at\:x=1
limit as x approaches-infinity of (4x^6)/(x^3-8)
\lim\:_{x\to\:-\infty\:}(\frac{4x^{6}}{x^{3}-8})
limit as θ approaches pi/3 of (tan(θ))/(sin^2(θ))
\lim\:_{θ\to\:\frac{π}{3}}(\frac{\tan(θ)}{\sin^{2}(θ)})
integral of (x^2)/((x+1)^{50)}
\int\:\frac{x^{2}}{(x+1)^{50}}dx
(\partial)/(\partial x)(2xe^{-y})
\frac{\partial\:}{\partial\:x}(2xe^{-y})
integral of (2x-1)ln(17x)
\int\:(2x-1)\ln(17x)dx
area 2/x ,4x, 4/x
area\:\frac{2}{x},4x,\frac{4}{x}
taylor 5x
taylor\:5x
xy^'-4y=x^6e^x
xy^{\prime\:}-4y=x^{6}e^{x}
limit as x approaches infinity of (x^{99})/(e^x)
\lim\:_{x\to\:\infty\:}(\frac{x^{99}}{e^{x}})
integral from 1 to a of (1/(sqrt(4x)))
\int\:_{1}^{a}(\frac{1}{\sqrt{4x}})dx
derivative of e^{sin(x)}cos(x)
derivative\:e^{\sin(x)}\cos(x)
limit as x approaches-1 of (x+1)/(sqrt(6x^2+3)+3x)
\lim\:_{x\to\:-1}(\frac{x+1}{\sqrt{6x^{2}+3}+3x})
integral of 2xsec^2(3x)
\int\:2x\sec^{2}(3x)dx
integral from 0 to 2 of x/(sqrt(1+x^2))
\int\:_{0}^{2}\frac{x}{\sqrt{1+x^{2}}}dx
derivative of f(x)=3x^2-5x+2
\frac{d}{dx}f(x)=3x^{2}-5x+2
implicit (dy)/(dx),x^5y+5xy^5=x+y
implicit\:\frac{dy}{dx},x^{5}y+5xy^{5}=x+y
limit as x approaches 2+of cos(x-2)
\lim\:_{x\to\:2+}(\cos(x-2))
integral of ye^{y^2}
\int\:ye^{y^{2}}dy
xy^'-2y=x^2
xy^{\prime\:}-2y=x^{2}
integral from 0 to 3 of 1/((1-x)^2)
\int\:_{0}^{3}\frac{1}{(1-x)^{2}}dx
derivative of x/(4x+9)
derivative\:\frac{x}{4x+9}
tangent of f(x)=e^{9x}cos(pix),\at x=0
tangent\:f(x)=e^{9x}\cos(πx),\at\:x=0
derivative of 9x^8e^x+e^xx^9
derivative\:9x^{8}e^{x}+e^{x}x^{9}
integral of (x^4-e^{-2x})
\int\:(x^{4}-e^{-2x})dx
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