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Popular Calculus Problems
limit as x approaches 0 of 8/(x^2+x)-8/x
\lim\:_{x\to\:0}(\frac{8}{x^{2}+x}-\frac{8}{x})
derivative of \sqrt[3]{arcsin(x})
\frac{d}{dx}(\sqrt[3]{\arcsin(x)})
limit as x approaches 1 of 1/(ax+2)
\lim\:_{x\to\:1}(\frac{1}{ax+2})
integral from-5 to 1 of |x+2|
\int\:_{-5}^{1}\left|x+2\right|dx
(\partial)/(\partial y)(-4y)
\frac{\partial\:}{\partial\:y}(-4y)
derivative of ln((x^2+1)/(x+1))
derivative\:\ln(\frac{x^{2}+1}{x+1})
integral of sqrt(1+2x^4)(8x^3)
\int\:\sqrt{1+2x^{4}}(8x^{3})dx
y^'= x/y
y^{\prime\:}=\frac{x}{y}
derivative of x^3+2x^2
\frac{d}{dx}(x^{3}+2x^{2})
(\partial)/(\partial x)(xln(z^4+x^7))
\frac{\partial\:}{\partial\:x}(x\ln(z^{4}+x^{7}))
tangent of f(x)=(2x)/(x^2+1),\at x=-1
tangent\:f(x)=\frac{2x}{x^{2}+1},\at\:x=-1
integral of e^{4t}
\int\:e^{4t}dt
((x-sqrt(x))*(x+sqrt(x)))^'
((x-\sqrt{x})\cdot\:(x+\sqrt{x}))^{\prime\:}
derivative of 3sin(2x+e^{-x})
\frac{d}{dx}(3\sin(2x)+e^{-x})
inverse oflaplace ((s^4+4))/(s^4-4)
inverselaplace\:\frac{(s^{4}+4)}{s^{4}-4}
integral of 7^{2x+3}
\int\:7^{2x+3}dx
(\partial)/(\partial x)(-6y)
\frac{\partial\:}{\partial\:x}(-6y)
derivative of (sqrt(5-2x)/(2x+1))
\frac{d}{dx}(\frac{\sqrt{5-2x}}{2x+1})
limit as x approaches 0+of x^{-5}ln(x)
\lim\:_{x\to\:0+}(x^{-5}\ln(x))
derivative of 2x^3-x
derivative\:2x^{3}-x
integral of (3sin(x)-2cos(x))
\int\:(3\sin(x)-2\cos(x))dx
sum from n=2 to infinity of 1/(2^{n-1)}
\sum\:_{n=2}^{\infty\:}\frac{1}{2^{n-1}}
derivative of 45x^8-12x^5
derivative\:45x^{8}-12x^{5}
derivative of (96/x)
\frac{d}{dx}(\frac{96}{x})
11x-4ysqrt(x^2+1)y^'=0
11x-4y\sqrt{x^{2}+1}y^{\prime\:}=0
derivative of f(x)=11sqrt(x)
derivative\:f(x)=11\sqrt{x}
derivative of (x+3/(x-3))
\frac{d}{dx}(\frac{x+3}{x-3})
derivative of x^2*ln(x)
derivative\:x^{2}\cdot\:\ln(x)
integral of (3x^2)/(sqrt(x^2-4))
\int\:\frac{3x^{2}}{\sqrt{x^{2}-4}}dx
integral of sin(2y)(3-cos(2y))^2
\int\:\sin(2y)(3-\cos(2y))^{2}dy
tangent of (x-1)/(x+1)
tangent\:\frac{x-1}{x+1}
integral from 0 to 1 of 6x(1-x)
\int\:_{0}^{1}6x(1-x)dx
f(x)=-cos(2x)
f(x)=-\cos(2x)
(\partial)/(\partial x)((z-x)/(z+y))
\frac{\partial\:}{\partial\:x}(\frac{z-x}{z+y})
derivative of (16x/((4-x^2)^2))
\frac{d}{dx}(\frac{16x}{(4-x^{2})^{2}})
integral of 1/(2x^2+3x+1)
\int\:\frac{1}{2x^{2}+3x+1}dx
(\partial)/(\partial x)(4sin(6x-7y))
\frac{\partial\:}{\partial\:x}(4\sin(6x-7y))
integral of-2t^5
\int\:-2t^{5}dt
derivative of (x^2-9)^2
derivative\:(x^{2}-9)^{2}
integral of (x^2+1/((3x)^2))
\int\:(x^{2}+\frac{1}{(3x)^{2}})dx
integral of x^3-3x^2+2x
\int\:x^{3}-3x^{2}+2xdx
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
(dy)/(dx)=y-x,y(0)= 2/3
\frac{dy}{dx}=y-x,y(0)=\frac{2}{3}
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})
inverse oflaplace (22.96)/((s+10.7))
inverselaplace\:\frac{22.96}{(s+10.7)}
limit as x approaches 2 of (sin(x))/x
\lim\:_{x\to\:2}(\frac{\sin(x)}{x})
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
derivative of sin^2(-3x+6)
\frac{d}{dx}(\sin^{2}(-3x+6))
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
integral of (x^3)/(sqrt(1-x^4))
\int\:\frac{x^{3}}{\sqrt{1-x^{4}}}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 4r
\int\:4rdr
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
xe^y(dy)/(dx)=2(e^y+x^3e^{2x})
xe^{y}\frac{dy}{dx}=2(e^{y}+x^{3}e^{2x})
(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})
derivative of (3x/(x^2+3)+98.6)
\frac{d}{dx}(\frac{3x}{x^{2}+3}+98.6)
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
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