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Popular Calculus Problems
y^{''}+9y=2x^2-5
y^{\prime\:\prime\:}+9y=2x^{2}-5
limit as x approaches 1 of (x^{10}-1)/(x-1)
\lim\:_{x\to\:1}(\frac{x^{10}-1}{x-1})
derivative of-2/((1+2x^2))
\frac{d}{dx}(-\frac{2}{(1+2x)^{2}})
derivative of sqrt(x)e^{2x}
\frac{d}{dx}(\sqrt{x}e^{2x})
limit as x approaches infinity of a^{-x}
\lim\:_{x\to\:\infty\:}(a^{-x})
(\partial}{\partial x}(\frac{3x+y)/z)
\frac{\partial\:}{\partial\:x}(\frac{3x+y}{z})
derivative of 11xarcsin(x)
\frac{d}{dx}(11x\arcsin(x))
(dy)/(dx)=(y^3)/(e^x)
\frac{dy}{dx}=\frac{y^{3}}{e^{x}}
(\partial)/(\partial x)(sec(x/2))
\frac{\partial\:}{\partial\:x}(\sec(\frac{x}{2}))
integral of sqrt((x+1)^3)
\int\:\sqrt{(x+1)^{3}}dx
(dy)/(dt)=((y+2))/(2t+1)
\frac{dy}{dt}=\frac{(y+2)}{2t+1}
(\partial)/(\partial v)(3cos(u))
\frac{\partial\:}{\partial\:v}(3\cos(u))
derivative of-16(x^{-6}-x^{12})
derivative\:-16(x^{-6}-x^{12})
derivative of (xe^x/(x^2+1))
\frac{d}{dx}(\frac{xe^{x}}{x^{2}+1})
(dv}{dt}=\frac{(-5v-29.4))/3
\frac{dv}{dt}=\frac{(-5v-29.4)}{3}
derivative of x^{-3}ln(x)
\frac{d}{dx}(x^{-3}\ln(x))
integral from 0 to 3 of 2x
\int\:_{0}^{3}2xdx
limit as x approaches 1/2 pi of tan(x)
\lim\:_{x\to\:\frac{1}{2}π}(\tan(x))
t(dy)/(dt)=t^3+19t^3y
t\frac{dy}{dt}=t^{3}+19t^{3}y
inverse oflaplace s^2
inverselaplace\:s^{2}
limit as x approaches (-1)+of sqrt(x+1)
\lim\:_{x\to\:(-1)+}(\sqrt{x+1})
limit as x approaches 1/3 of 3x+1/4
\lim\:_{x\to\:\frac{1}{3}}(3x+\frac{1}{4})
derivative of y=sqrt(6x^3+11)
derivative\:y=\sqrt{6x^{3}+11}
sum from n=2 to infinity of (-0.875)^n
\sum\:_{n=2}^{\infty\:}(-0.875)^{n}
integral of (1/2)
\int\:(\frac{1}{2})dx
derivative of e^{-2.5x^2}
\frac{d}{dx}(e^{-2.5x^{2}})
integral of p(p+3)^4
\int\:p(p+3)^{4}dp
integral from-infinity to 0 of e^x
\int\:_{-\infty\:}^{0}e^{x}dx
integral of (x+3)/(x^2+6x+10)
\int\:\frac{x+3}{x^{2}+6x+10}dx
limit as x approaches 5-of (-3)/(x^2-25)
\lim\:_{x\to\:5-}(\frac{-3}{x^{2}-25})
derivative of (10u^2)/((u^2+u)^3)
derivative\:\frac{10u^{2}}{(u^{2}+u)^{3}}
y^{''}+y^'-56y=0
y^{\prime\:\prime\:}+y^{\prime\:}-56y=0
derivative of 9x^{1/3}
derivative\:9x^{\frac{1}{3}}
limit as x approaches 10 of x
\lim\:_{x\to\:10}(x)
derivative of ln(x+sin(pix))
\frac{d}{dx}(\ln(x)+\sin(πx))
integral of (5x^2-11x+5)/(x^3-4x^2+5x-2)
\int\:\frac{5x^{2}-11x+5}{x^{3}-4x^{2}+5x-2}dx
integral of 2/(x^{-3)}-1/(sqrt(x^3))
\int\:\frac{2}{x^{-3}}-\frac{1}{\sqrt{x^{3}}}dx
limit as x approaches 2 of 1/(x^3)
\lim\:_{x\to\:2}(\frac{1}{x^{3}})
integral from-1 to 3 of (-3x^2+4x-5)
\int\:_{-1}^{3}(-3x^{2}+4x-5)dx
integral of 6(x+2)ln(x+2)
\int\:6(x+2)\ln(x+2)dx
tangent of y= 1/(4+3x),(2, 1/10)
tangent\:y=\frac{1}{4+3x},(2,\frac{1}{10})
integral of x*sec^2(3x)
\int\:x\cdot\:\sec^{2}(3x)dx
(\partial)/(\partial x)(cos(t))
\frac{\partial\:}{\partial\:x}(\cos(t))
derivative of 8(sin(x))^x
derivative\:8(\sin(x))^{x}
derivative of 1/(sqrt(ln(x)))
\frac{d}{dx}(\frac{1}{\sqrt{\ln(x)}})
sum from n=1 to infinity of 3(7/2)^{n-1}
\sum\:_{n=1}^{\infty\:}3(\frac{7}{2})^{n-1}
limit as x approaches 0+of tan(3x)
\lim\:_{x\to\:0+}(\tan(3x))
derivative of 0.5x^3
\frac{d}{dx}(0.5x^{3})
derivative of f(x)=x\sqrt[3]{2+3x}
derivative\:f(x)=x\sqrt[3]{2+3x}
integral of x/(sqrt(2x-5))
\int\:\frac{x}{\sqrt{2x-5}}dx
tangent of y= 1/(sqrt(x))(1.1)
tangent\:y=\frac{1}{\sqrt{x}}(1.1)
integral of x/(x^2-4x+4)
\int\:\frac{x}{x^{2}-4x+4}dx
integral of (-8x-9)/(x^9)
\int\:\frac{-8x-9}{x^{9}}dx
integral of+\sqrt[4]{8-3x}
\int\:+\sqrt[4]{8-3x}dx
tangent of 4x^3-3x^2+4,\at x=2
tangent\:4x^{3}-3x^{2}+4,\at\:x=2
(dy)/(dx)=2y-x^2
\frac{dy}{dx}=2y-x^{2}
integral of (x^2)/((x-1)^3)
\int\:\frac{x^{2}}{(x-1)^{3}}dx
(\partial)/(\partial x)(5/(e^x))
\frac{\partial\:}{\partial\:x}(\frac{5}{e^{x}})
y^'+4y=3sin(2t)
y^{\prime\:}+4y=3\sin(2t)
(\partial)/(\partial x)(3x^4y^2+2xy^2-5)
\frac{\partial\:}{\partial\:x}(3x^{4}y^{2}+2xy^{2}-5)
slope of (-1,4),(-3,-2)
slope\:(-1,4),(-3,-2)
integral of arctan(4t)
\int\:\arctan(4t)dt
(\partial)/(\partial y)(-y)
\frac{\partial\:}{\partial\:y}(-y)
derivative of (ln(x))/(x^6)
derivative\:\frac{\ln(x)}{x^{6}}
limit as x approaches infinity of 0.99
\lim\:_{x\to\:\infty\:}(0.99)
xy^'=e^{-y}
xy^{\prime\:}=e^{-y}
integral of e^{-8x}
\int\:e^{-8x}dx
y^{''}+36y=36sin(6t)
y^{\prime\:\prime\:}+36y=36\sin(6t)
slope of f(x)=x^4-10x^2+9
slope\:f(x)=x^{4}-10x^{2}+9
derivative of 6/(x^2+36)
\frac{d}{dx}(\frac{6}{x^{2}+36})
integral of sin^3(x)cos^3(x)
\int\:\sin^{3}(x)\cos^{3}(x)dx
slope of (-6,-20),(1,8)
slope\:(-6,-20),(1,8)
integral of 2/(3\sqrt[3]{2x)}
\int\:\frac{2}{3\sqrt[3]{2x}}dx
derivative of f(x)= 1/(xln(x))
derivative\:f(x)=\frac{1}{x\ln(x)}
integral from 0 to x of sqrt(a^2-t^2)
\int\:_{0}^{x}\sqrt{a^{2}-t^{2}}dt
derivative of sqrt(x^2-25)
\frac{d}{dx}(\sqrt{x^{2}-25})
tangent of sin(7x)+cos(6x),\at pi/6
tangent\:\sin(7x)+\cos(6x),\at\:\frac{π}{6}
derivative of y=x^2sqrt(8+x)
derivative\:y=x^{2}\sqrt{8+x}
sum from n=1 to infinity of ln(1/(n+1))
\sum\:_{n=1}^{\infty\:}\ln(\frac{1}{n+1})
integral of cosh(x/(27.2632))
\int\:\cosh(\frac{x}{27.2632})dx
derivative of f(x)=x^3(x^2-4)
derivative\:f(x)=x^{3}(x^{2}-4)
derivative of (x^4e^x/(4^x+3))
\frac{d}{dx}(\frac{x^{4}e^{x}}{4^{x}+3})
integral of cos(x)sqrt(1+cos^2(x))
\int\:\cos(x)\sqrt{1+\cos^{2}(x)}dx
sum from n=2 to infinity of 2/(n(n-1))
\sum\:_{n=2}^{\infty\:}\frac{2}{n(n-1)}
derivative of sqrt((x^3+14x-7/7))
\frac{d}{dx}(\sqrt{\frac{x^{3}+14x-7}{7}})
integral of (ln(x^{21}))/x
\int\:\frac{\ln(x^{21})}{x}dx
integral from-2 to 1 of (2x+pi)
\int\:_{-2}^{1}(2x+π)dx
integral of (2+x)/(x^3)
\int\:\frac{2+x}{x^{3}}dx
sum from n=1 to infinity of n^3e^{-n}
\sum\:_{n=1}^{\infty\:}n^{3}e^{-n}
derivative of (-1-x/((x-1)^3))
\frac{d}{dx}(\frac{-1-x}{(x-1)^{3}})
integral of ((x^2+x+1))/(x^2+1)
\int\:\frac{(x^{2}+x+1)}{x^{2}+1}dx
derivative of ln(e^4)
\frac{d}{dx}(\ln(e^{4}))
derivative of 5x^3-x^{-2/5}
\frac{d}{dx}(5x^{3}-x^{-\frac{2}{5}})
limit as x approaches 0 of 12+x^2ln(x)
\lim\:_{x\to\:0}(12+x^{2}\ln(x))
derivative of (5x^2-9x+7/(3x+2))
\frac{d}{dx}(\frac{5x^{2}-9x+7}{3x+2})
integral of (5x^2+7x^{-2})
\int\:(5x^{2}+7x^{-2})dx
(dy)/(dx)=(y^2)/(1+x^2)
\frac{dy}{dx}=\frac{y^{2}}{1+x^{2}}
derivative of (x^4+2x(x^3+2x^2+1))
\frac{d}{dx}((x^{4}+2x)(x^{3}+2x^{2}+1))
derivative of (ln(x)/(1+ln(x)))
\frac{d}{dx}(\frac{\ln(x)}{1+\ln(x)})
y^'=arctan(x/2)
y^{\prime\:}=\arctan(\frac{x}{2})
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