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Popular Calculus Problems
integral of (x^2+1/((3x)^2))
\int\:(x^{2}+\frac{1}{(3x)^{2}})dx
integral of (x^3-6x^2+11x-6)/(4x^3-28x^2+56x-32)
\int\:\frac{x^{3}-6x^{2}+11x-6}{4x^{3}-28x^{2}+56x-32}dx
integral from-infinity to 0 of e^{5x}
\int\:_{-\infty\:}^{0}e^{5x}dx
(\partial)/(\partial x)(5xln(x^2+y))
\frac{\partial\:}{\partial\:x}(5x\ln(x^{2}+y))
limit as x approaches 0 of x^2-6
\lim\:_{x\to\:0}(x^{2}-6)
integral of 2sin(ln(x))
\int\:2\sin(\ln(x))dx
derivative of (f(x))/(g(x)+1)
derivative\:\frac{f(x)}{g(x)+1}
derivative of (x^2)/(3+8x)
derivative\:\frac{x^{2}}{3+8x}
integral of 3sqrt(t+1)
\int\:3\sqrt{t+1}dt
derivative of x^3-3x^2+5x-2
\frac{d}{dx}(x^{3}-3x^{2}+5x-2)
derivative of ae^x+b/x+c/(x^2)
\frac{d}{dx}(ae^{x}+\frac{b}{x}+\frac{c}{x^{2}})
tangent of f(x)=7x^2-x^3,\at x=1
tangent\:f(x)=7x^{2}-x^{3},\at\:x=1
integral from 0 to 1 of ln(4+x^2)
\int\:_{0}^{1}\ln(4+x^{2})dx
integral of-ucos(2u)
\int\:-u\cos(2u)du
integral of 1/([(x^2+9)^2])
\int\:\frac{1}{[(x^{2}+9)^{2}]}dx
derivative of (7^x/(x^3))
\frac{d}{dx}(\frac{7^{x}}{x^{3}})
integral of (e^{2x}-1)/(e^{2x)+3}
\int\:\frac{e^{2x}-1}{e^{2x}+3}dx
limit as x approaches 3 of (x+1)/(x^2-9)
\lim\:_{x\to\:3}(\frac{x+1}{x^{2}-9})
integral of 1/(-1+x^2)
\int\:\frac{1}{-1+x^{2}}dx
derivative of-1/64 sin(x/8)
\frac{d}{dx}(-\frac{1}{64}\sin(\frac{x}{8}))
d/(dt)(acos(wt)+bsin(wt))
\frac{d}{dt}(a\cos(wt)+b\sin(wt))
integral of (e^{5x})(cos(-2x))
\int\:(e^{5x})(\cos(-2x))dx
integral of (2x+1)/((x-1)(x+3))
\int\:\frac{2x+1}{(x-1)(x+3)}dx
derivative of (x^2-x+5/(4x-1))
\frac{d}{dx}(\frac{x^{2}-x+5}{4x-1})
(\partial)/(\partial y)(e^{-2y}cos(x))
\frac{\partial\:}{\partial\:y}(e^{-2y}\cos(x))
derivative of (x-1(x^2-8x+7))
\frac{d}{dx}((x-1)(x^{2}-8x+7))
area y=5cos(2x),y=5sin(4x),x=0,x= pi/4
area\:y=5\cos(2x),y=5\sin(4x),x=0,x=\frac{π}{4}
laplacetransform cos(t/2)
laplacetransform\:\cos(\frac{t}{2})
derivative of ln(1/4 e^x+3/4 e^{-x})
\frac{d}{dx}(\ln(\frac{1}{4}e^{x}+\frac{3}{4}e^{-x}))
derivative of ln|x-1|
\frac{d}{dx}(\ln\left|x-1\right|)
f^'(x)=cos(x),f(0)=-5
f^{\prime\:}(x)=\cos(x),f(0)=-5
slope ofintercept (-10,3),(-8,-8)
slopeintercept\:(-10,3),(-8,-8)
sum from n=0 to infinity of (1/5)^{n+1}
\sum\:_{n=0}^{\infty\:}(\frac{1}{5})^{n+1}
integral of (e^x+2x)^2
\int\:(e^{x}+2x)^{2}dx
derivative of f(x)=sqrt(5-3x)
derivative\:f(x)=\sqrt{5-3x}
integral from-1 to 1 of (x^2-x)
\int\:_{-1}^{1}(x^{2}-x)dx
integral of 1/(x-9)
\int\:\frac{1}{x-9}dx
implicit y/(x-5y)=x^7+9
implicit\:\frac{y}{x-5y}=x^{7}+9
(dy)/(dx)=e^{5x}+10y
\frac{dy}{dx}=e^{5x}+10y
integral from 0 to 1 of (1+e^x)/(e^x)
\int\:_{0}^{1}\frac{1+e^{x}}{e^{x}}dx
(\partial)/(\partial x)((-x-6y)/(y^2+5x^2))
\frac{\partial\:}{\partial\:x}(\frac{-x-6y}{y^{2}+5x^{2}})
(\partial)/(\partial x)(sqrt(2-x^2))
\frac{\partial\:}{\partial\:x}(\sqrt{2-x^{2}})
inverse oflaplace 1/(s^2+4)
inverselaplace\:\frac{1}{s^{2}+4}
integral of 1/(x\sqrt[8]{x)}
\int\:\frac{1}{x\sqrt[8]{x}}dx
7t*(dy)/(dt)-4y=sqrt(t)
7t\cdot\:\frac{dy}{dt}-4y=\sqrt{t}
derivative of 1-sin(3x)
\frac{d}{dx}(1-\sin(3x))
inverse oflaplace (e^{-5s})/(s^2)
inverselaplace\:\frac{e^{-5s}}{s^{2}}
limit as x approaches 3+of ((x^2))/(x-3)
\lim\:_{x\to\:3+}(\frac{(x^{2})}{x-3})
integral from 0 to 1 of 2pi(2-y)(5y^2)
\int\:_{0}^{1}2π(2-y)(5y^{2})dy
(\partial)/(\partial y)(2ye^{-x})
\frac{\partial\:}{\partial\:y}(2ye^{-x})
simplify (3x^2)^{2x}*(x^2+2x)^2
simplify\:(3x^{2})^{2x}\cdot\:(x^{2}+2x)^{2}
integral of (2x^4)/(sqrt(7-6x^5))
\int\:\frac{2x^{4}}{\sqrt{7-6x^{5}}}dx
integral from 0 to 8pi of sqrt(5+t^2)
\int\:_{0}^{8π}\sqrt{5+t^{2}}dt
derivative of x/(e^x)
derivative\:\frac{x}{e^{x}}
laplacetransform f(t)=cos(t)
laplacetransform\:f(t)=\cos(t)
sum from n=0 to infinity of (10^n)/(n!)
\sum\:_{n=0}^{\infty\:}\frac{10^{n}}{n!}
y^'=-5y^2
y^{\prime\:}=-5y^{2}
f(x)=csc(x)cot(x)
f(x)=\csc(x)\cot(x)
(x/(2y^4))dx+((3y^2-x^2)/(y^5))dy=0
(\frac{x}{2y^{4}})dx+(\frac{3y^{2}-x^{2}}{y^{5}})dy=0
derivative of 5x^2+2x
\frac{d}{dx}(5x^{2}+2x)
integral of sqrt(x)ln(3x)
\int\:\sqrt{x}\ln(3x)dx
integral of (5x^2)/((144+x^2)^2)
\int\:\frac{5x^{2}}{(144+x^{2})^{2}}dx
integral of (x^2)/(e^{(x^3))}
\int\:\frac{x^{2}}{e^{(x^{3})}}dx
(dy)/(dx)-y=e^xy^2
\frac{dy}{dx}-y=e^{x}y^{2}
slope of (-17,-5),(2,-18)
slope\:(-17,-5),(2,-18)
derivative of y=(7x-1)
derivative\:y=(7x-1)
integral of (3x^2-2x+5)/((x+3)^3)
\int\:\frac{3x^{2}-2x+5}{(x+3)^{3}}dx
derivative of ((x^2+1/(2x-1))^2)
\frac{d}{dx}((\frac{x^{2}+1}{2x-1})^{2})
limit as x approaches 5-of 1/(x^2-25)
\lim\:_{x\to\:5-}(\frac{1}{x^{2}-25})
(\partial)/(\partial t)((3s+t)/(4s-t))
\frac{\partial\:}{\partial\:t}(\frac{3s+t}{4s-t})
2ycos(x)dx+3sin(x)dy=0
2y\cos(x)dx+3\sin(x)dy=0
integral of y/(sqrt(x^2+y^2))
\int\:\frac{y}{\sqrt{x^{2}+y^{2}}}dy
(\partial)/(\partial x)(xy^2-yx^3)
\frac{\partial\:}{\partial\:x}(xy^{2}-yx^{3})
derivative of 1+40x^3-3x^5
\frac{d}{dx}(1+40x^{3}-3x^{5})
limit as x approaches 2 of 1680x^3-120x
\lim\:_{x\to\:2}(1680x^{3}-120x)
integral of (2x-5)/(x^2+2x+2)
\int\:\frac{2x-5}{x^{2}+2x+2}dx
sum from n=0 to infinity of 1/n x^n
\sum\:_{n=0}^{\infty\:}\frac{1}{n}x^{n}
integral of sec^3(z)
\int\:\sec^{3}(z)dz
derivative of sin((pix/3))
\frac{d}{dx}(\sin(\frac{πx}{3}))
f(x)=ln(x^2+x+1)
f(x)=\ln(x^{2}+x+1)
y^{''''}-y=0
y^{\prime\:\prime\:\prime\:\prime\:}-y=0
integral of x^{-1}
\int\:x^{-1}dx
integral from 0 to 2 of e^{-t}
\int\:_{0}^{2}e^{-t}dt
limit as x approaches infinity of 8+5/x
\lim\:_{x\to\:\infty\:}(8+\frac{5}{x})
derivative of-5/((x-2^2))
\frac{d}{dx}(-\frac{5}{(x-2)^{2}})
(\partial)/(\partial y)(y/(y-2x))
\frac{\partial\:}{\partial\:y}(\frac{y}{y-2x})
(dv)/(dt)=9.8-v/5 ,v(0)=0
\frac{dv}{dt}=9.8-\frac{v}{5},v(0)=0
xy^'=x+y
xy^{\prime\:}=x+y
derivative of (Kx+11/(x^2+(K+1)x+11))
\frac{d}{dx}(\frac{Kx+11}{x^{2}+(K+1)x+11})
integral of sin(9x)cos(5x)
\int\:\sin(9x)\cos(5x)dx
limit as x approaches 0 of 8xcot(3x)
\lim\:_{x\to\:0}(8x\cot(3x))
sum from n=1 to infinity of ((n+1)/n)^n
\sum\:_{n=1}^{\infty\:}(\frac{n+1}{n})^{n}
y^{''}-2y^'+y=xe^{-x}
y^{\prime\:\prime\:}-2y^{\prime\:}+y=xe^{-x}
(\partial)/(\partial z)(x^ay^bz^c)
\frac{\partial\:}{\partial\:z}(x^{a}y^{b}z^{c})
(dy)/(dx)=((y-1))/(x+3)
\frac{dy}{dx}=\frac{(y-1)}{x+3}
y^'+y/x =7x^3y^2
y^{\prime\:}+\frac{y}{x}=7x^{3}y^{2}
tangent of sqrt(3)^x
tangent\:\sqrt{3}^{x}
derivative of e^{3x}sin(x)
\frac{d}{dx}(e^{3x}\sin(x))
integral of x^2(1-x^3)^4
\int\:x^{2}(1-x^{3})^{4}dx
inverse oflaplace (s^2-2s+3)/((s-2)^3)
inverselaplace\:\frac{s^{2}-2s+3}{(s-2)^{3}}
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