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Popular Calculus Problems
integral of (1/x-5/(9x^2+1))
\int\:(\frac{1}{x}-\frac{5}{9x^{2}+1})dx
limit as x approaches 2 of x^3+2x^2-x-4
\lim\:_{x\to\:2}(x^{3}+2x^{2}-x-4)
derivative of \sqrt[8]{x}-9/x
\frac{d}{dx}(\sqrt[8]{x}-\frac{9}{x})
limit as x approaches 3 of x^2+x
\lim\:_{x\to\:3}(x^{2}+x)
sum from n=1 to infinity of 1/(4n-2)
\sum\:_{n=1}^{\infty\:}\frac{1}{4n-2}
integral of 7ln(x^2-1)
\int\:7\ln(x^{2}-1)dx
(\partial)/(\partial z)(xe^y+ye^z+ze^x)
\frac{\partial\:}{\partial\:z}(xe^{y}+ye^{z}+ze^{x})
tangent of 2/(4-x),\at x=1
tangent\:\frac{2}{4-x},\at\:x=1
(\partial)/(\partial y)(4-x^2-y^2)
\frac{\partial\:}{\partial\:y}(4-x^{2}-y^{2})
(\partial)/(\partial x)(6x^3cos(6x^2y))
\frac{\partial\:}{\partial\:x}(6x^{3}\cos(6x^{2}y))
limit as x approaches infinity of 9^x
\lim\:_{x\to\:\infty\:}(9^{x})
derivative of 1/(x^{10})
\frac{d}{dx}(\frac{1}{x^{10}})
tangent of y= 5/(sqrt(x))(1.5)
tangent\:y=\frac{5}{\sqrt{x}}(1.5)
y^{''}+14y^'+65y=0
y^{\prime\:\prime\:}+14y^{\prime\:}+65y=0
xy^2dx+(1+x^2y)dy=0
xy^{2}dx+(1+x^{2}y)dy=0
inverse oflaplace ((1))/((s^2+1)^2)
inverselaplace\:\frac{(1)}{(s^{2}+1)^{2}}
integral from-pi/2 to pi of xsin(|x|)
\int\:_{-\frac{π}{2}}^{π}x\sin(\left|x\right|)dx
limit as x approaches infinity of 4cos(x)
\lim\:_{x\to\:\infty\:}(4\cos(x))
(\partial)/(\partial x)(2xy+2x)
\frac{\partial\:}{\partial\:x}(2xy+2x)
(dy)/(dx)=y-x,y(0)= 2/3
\frac{dy}{dx}=y-x,y(0)=\frac{2}{3}
(\partial)/(\partial y)(4xy)
\frac{\partial\:}{\partial\:y}(4xy)
derivative of 1/(3+x^2)
\frac{d}{dx}(\frac{1}{3+x^{2}})
integral of 1/(sqrt(x+1)+x-1)
\int\:\frac{1}{\sqrt{x+1}+x-1}dx
integral of 4/((4+x^2)^2)
\int\:\frac{4}{(4+x^{2})^{2}}dx
limit as x approaches 1+of x^{4/(1-x)}
\lim\:_{x\to\:1+}(x^{\frac{4}{1-x}})
limit as x approaches 1+of 4/(x-1)
\lim\:_{x\to\:1+}(\frac{4}{x-1})
(\partial)/(\partial x)(2x^2y-2x+4y^3)
\frac{\partial\:}{\partial\:x}(2x^{2}y-2x+4y^{3})
limit as x approaches 0 of x^{2sqrt(x)}
\lim\:_{x\to\:0}(x^{2\sqrt{x}})
d/(dv)(vi)
\frac{d}{dv}(vi)
sum from n=1 to infinity of 2(0.1)^n
\sum\:_{n=1}^{\infty\:}2(0.1)^{n}
derivative of (cos(x)/2)
\frac{d}{dx}(\frac{\cos(x)}{2})
y^{''}-4y^'+4y=e^{2t}
y^{\prime\:\prime\:}-4y^{\prime\:}+4y=e^{2t}
integral of sin((pix)/L)
\int\:\sin(\frac{πx}{L})dx
y^3-(6x+6)+3xy^2(dy)/(dx)=0
y^{3}-(6x+6)+3xy^{2}\frac{dy}{dx}=0
integral of (e^{2x})/(e^{2x)+2}
\int\:\frac{e^{2x}}{e^{2x}+2}dx
integral of (2x+11)/(x^2+x-6)
\int\:\frac{2x+11}{x^{2}+x-6}dx
integral of 1/(x^2)cos(1/x)
\int\:\frac{1}{x^{2}}\cos(\frac{1}{x})dx
(dy)/(dt)=-2(y-3)
\frac{dy}{dt}=-2(y-3)
(\partial)/(\partial x)(17xye^{-x^2-y^2})
\frac{\partial\:}{\partial\:x}(17xye^{-x^{2}-y^{2}})
sum from n=1 to infinity of n/(3n^3+1)
\sum\:_{n=1}^{\infty\:}\frac{n}{3n^{3}+1}
limit as x approaches-1+of (3x-5)/(x+1)
\lim\:_{x\to\:-1+}(\frac{3x-5}{x+1})
solvefor x,(d^2y)/(dx^2)=y^2
solvefor\:x,\frac{d^{2}y}{dx^{2}}=y^{2}
(arctan(cos(x)))^'
(\arctan(\cos(x)))^{\prime\:}
y^{''}-y^'-6y=20e^{-2x}
y^{\prime\:\prime\:}-y^{\prime\:}-6y=20e^{-2x}
2y^{'''}+3y^{''}-8y^'+3y=0
2y^{\prime\:\prime\:\prime\:}+3y^{\prime\:\prime\:}-8y^{\prime\:}+3y=0
derivative of sqrt(x^2+1)-x
\frac{d}{dx}(\sqrt{x^{2}+1}-x)
limit as x approaches 3 of x+2
\lim\:_{x\to\:3}(x+2)
tangent of f(x)=x^2+4x
tangent\:f(x)=x^{2}+4x
integral of (x^2)/(x^4-2x^2-8)
\int\:\frac{x^{2}}{x^{4}-2x^{2}-8}dx
limit as t approaches 0 of (t^3-1)/(t-1)
\lim\:_{t\to\:0}(\frac{t^{3}-1}{t-1})
limit as x approaches 0+of x+2
\lim\:_{x\to\:0+}(x+2)
integral of (e^{x-1+ln(x-1)})/(e^{2x)}
\int\:\frac{e^{x-1+\ln(x-1)}}{e^{2x}}dx
integral of ((15)/(x^2+1))
\int\:(\frac{15}{x^{2}+1})dx
integral from 0 to 1 of (13)/(x^5)
\int\:_{0}^{1}\frac{13}{x^{5}}dx
derivative of f(x)= 3/5 x^{10}
derivative\:f(x)=\frac{3}{5}x^{10}
integral of 1/(y(y+1))
\int\:\frac{1}{y(y+1)}dy
y^'=2ty(1-y)
y^{\prime\:}=2ty(1-y)
derivative of 5sin(3x)
\frac{d}{dx}(5\sin(3x))
derivative of (x-1)/(x^3)
derivative\:\frac{x-1}{x^{3}}
derivative of 6sqrt(8x^2+9)
derivative\:6\sqrt{8x^{2}+9}
integral of sin^5(x)cos^3(x)
\int\:\sin^{5}(x)\cos^{3}(x)dx
inverse oflaplace (3(s+1)*e^{-2s})/(s(s+1)(2s+1))
inverselaplace\:\frac{3(s+1)\cdot\:e^{-2s}}{s(s+1)(2s+1)}
derivative of (2x+1)/(2x-1)
derivative\:\frac{2x+1}{2x-1}
derivative of f(x)=-x^3
derivative\:f(x)=-x^{3}
integral from-3 to 5 of 2y-(y^2-15)
\int\:_{-3}^{5}2y-(y^{2}-15)dy
(\partial)/(\partial x)(3xarctan(x/y))
\frac{\partial\:}{\partial\:x}(3x\arctan(\frac{x}{y}))
derivative of 4e^x+x
derivative\:4e^{x}+x
tangent of (x+1)(4x^2-4x-8)
tangent\:(x+1)(4x^{2}-4x-8)
(\partial)/(\partial x)(x^3y-xy^3)
\frac{\partial\:}{\partial\:x}(x^{3}y-xy^{3})
tangent of f(x)= 4/x ,\at x=3
tangent\:f(x)=\frac{4}{x},\at\:x=3
limit as x approaches 0 of x^2cos(2/x)
\lim\:_{x\to\:0}(x^{2}\cos(\frac{2}{x}))
sum from n=1 to infinity of 1/(3^n+n)
\sum\:_{n=1}^{\infty\:}\frac{1}{3^{n}+n}
(dy)/(dx)=y(3y-6)
\frac{dy}{dx}=y(3y-6)
limit as x approaches 0+of (tan(x))/x
\lim\:_{x\to\:0+}(\frac{\tan(x)}{x})
limit as x approaches 3 of 2x^3-10x-12
\lim\:_{x\to\:3}(2x^{3}-10x-12)
limit as x approaches 2 of 4+5(-2)
\lim\:_{x\to\:2}(4+5(-2))
integral of 2sec^3(x)
\int\:2\sec^{3}(x)dx
(\partial)/(\partial x)((10x)/(36+x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{10x}{36+x^{2}+y^{2}})
sum from n=1 to infinity of (10^n)/(n^n)
\sum\:_{n=1}^{\infty\:}\frac{10^{n}}{n^{n}}
(\partial)/(\partial x)(e^{xy}+2x-5y)
\frac{\partial\:}{\partial\:x}(e^{xy}+2x-5y)
y^{''}+8y^'+7y=0,y(0)=6,y^'(0)=-1
y^{\prime\:\prime\:}+8y^{\prime\:}+7y=0,y(0)=6,y^{\prime\:}(0)=-1
(d^2)/(dx^2)(x^4-6x^3)
\frac{d^{2}}{dx^{2}}(x^{4}-6x^{3})
(\partial)/(\partial x)((7x)/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{7x}{x^{2}+y^{2}})
laplacetransform sin(6(t-(5pi)/6))
laplacetransform\:\sin(6(t-\frac{5π}{6}))
inverse oflaplace 1/(s(1+s))
inverselaplace\:\frac{1}{s(1+s)}
area y=x,y= x/3 ,y=2
area\:y=x,y=\frac{x}{3},y=2
integral from 0 to 2 of x^2sqrt(1+x^3)
\int\:_{0}^{2}x^{2}\sqrt{1+x^{3}}dx
derivative of 2/(1+4x^2)
\frac{d}{dx}(\frac{2}{1+4x^{2}})
integral of (x^2)/(sqrt(36+x^2))
\int\:\frac{x^{2}}{\sqrt{36+x^{2}}}dx
derivative of x^3-5
derivative\:x^{3}-5
inverse oflaplace (3s-1)/(s^2-1)
inverselaplace\:\frac{3s-1}{s^{2}-1}
(\partial)/(\partial x)(((x+y))/(y+z))
\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{y+z})
integral of ((cos(x)))/(sin^2(x))
\int\:\frac{(\cos(x))}{\sin^{2}(x)}dx
(dy)/(dx)+2x^{-1}y=6x^4y^2
\frac{dy}{dx}+2x^{-1}y=6x^{4}y^{2}
(1/8)y^{''}+4y^'+20y=0
(\frac{1}{8})y^{\prime\:\prime\:}+4y^{\prime\:}+20y=0
integral of 30(x+9)(x+9)^4
\int\:30(x+9)(x+9)^{4}dx
derivative of (x^3/2-3/(x^2))
\frac{d}{dx}(\frac{x^{3}}{2}-\frac{3}{x^{2}})
y^{''}-7y^'+10y=-2cos(2t)
y^{\prime\:\prime\:}-7y^{\prime\:}+10y=-2\cos(2t)
derivative of f(x)=4x-1
derivative\:f(x)=4x-1
(dy)/(dx)=8e^{x-y}
\frac{dy}{dx}=8e^{x-y}
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