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Popular Calculus Problems
integral of (x^2)/(x^4-20x^2-125)
\int\:\frac{x^{2}}{x^{4}-20x^{2}-125}dx
derivative of 5*4^x
\frac{d}{dx}(5\cdot\:4^{x})
derivative of log_{4}(x(2^{3x}+e^{x^4})^{-2})
\frac{d}{dx}(\log_{4}(x)(2^{3x}+e^{x^{4}})^{-2})
integral of e^{(a-b)x}
\int\:e^{(a-b)x}dx
(\partial)/(\partial x)(y/x)
\frac{\partial\:}{\partial\:x}(\frac{y}{x})
integral of 1/(sqrt(20-x^2))
\int\:\frac{1}{\sqrt{20-x^{2}}}dx
integral of (2sqrt(ln^2(x)+16))/x
\int\:\frac{2\sqrt{\ln^{2}(x)+16}}{x}dx
d/(dy)(2)
\frac{d}{dy}(2)
(\partial)/(\partial x)(nyln(nx))
\frac{\partial\:}{\partial\:x}(ny\ln(nx))
integral of 4t+2
\int\:4t+2dt
(\partial)/(\partial x)(ln(3x+x^2y^2))
\frac{\partial\:}{\partial\:x}(\ln(3x+x^{2}y^{2}))
(\partial)/(\partial x)(1-4/y+x)
\frac{\partial\:}{\partial\:x}(1-\frac{4}{y}+x)
derivative of θ
derivative\:θ
(\partial)/(\partial y)(2z^2sin(y))
\frac{\partial\:}{\partial\:y}(2z^{2}\sin(y))
inverse oflaplace e^s
inverselaplace\:e^{s}
area 2cos(7x),sin(14x)
area\:2\cos(7x),\sin(14x)
derivative of 500q-(q^2)/(ln(q+300))
derivative\:500q-\frac{q^{2}}{\ln(q+300)}
(x+2y)dx+xdy=0
(x+2y)dx+xdy=0
limit as x approaches-2 of 1+2/(x+2)
\lim\:_{x\to\:-2}(1+\frac{2}{x+2})
(dy)/(dt)=0.17y+200
\frac{dy}{dt}=0.17y+200
integral from 0 to 1 of y/(e^{6y)}
\int\:_{0}^{1}\frac{y}{e^{6y}}dy
y^'=e^{4y}(sin(5x))
y^{\prime\:}=e^{4y}(\sin(5x))
integral of 1/(xsqrt(4-(ln(x))^2))
\int\:\frac{1}{x\sqrt{4-(\ln(x))^{2}}}dx
area y=12-x^2,y=-4x+0,[3,8]
area\:y=12-x^{2},y=-4x+0,[3,8]
derivative of e^{1+x}
\frac{d}{dx}(e^{1+x})
integral of sec(2x)tan^5(2x)
\int\:\sec(2x)\tan^{5}(2x)dx
integral of (e^{xy})
\int\:(e^{xy})dy
(1/(tan(x)))^'
(\frac{1}{\tan(x)})^{\prime\:}
derivative of log_{5}(5x^3+2x+5)
derivative\:\log_{5}(5x^{3}+2x+5)
y^'=tan(t)y-5t
y^{\prime\:}=\tan(t)y-5t
area 2916sqrt(x),108x^2
area\:2916\sqrt{x},108x^{2}
derivative of (4x^{4x})
\frac{d}{dx}((4x)^{4x})
(\partial)/(\partial x)(sin(5x)cos(5y))
\frac{\partial\:}{\partial\:x}(\sin(5x)\cos(5y))
derivative of (x^3/(cos(x)))
\frac{d}{dx}(\frac{x^{3}}{\cos(x)})
inverse oflaplace (e^{(-2s)})/s
inverselaplace\:\frac{e^{(-2s)}}{s}
integral of 1/(25e^{-7x)+e^{7x}}
\int\:\frac{1}{25e^{-7x}+e^{7x}}dx
(\partial ^2)/(\partial x\partial y)(ln(x^2+y^3))
\frac{\partial\:^{2}}{\partial\:x\partial\:y}(\ln(x^{2}+y^{3}))
y^{''}+36y=0,y(0)=0,y^'(0)=1
y^{\prime\:\prime\:}+36y=0,y(0)=0,y^{\prime\:}(0)=1
derivative of 2-3x
derivative\:2-3x
integral of 4-y^2
\int\:4-y^{2}dy
sum from n=1 to infinity of (-1^n)/(n^5)
\sum\:_{n=1}^{\infty\:}\frac{-1^{n}}{n^{5}}
integral of (2(1+x))/(x(2+x))
\int\:\frac{2(1+x)}{x(2+x)}dx
integral from 0 to infinity of e^{-x/3}
\int\:_{0}^{\infty\:}e^{-\frac{x}{3}}dx
derivative of sqrt(csc(3e^x))
\frac{d}{dx}(\sqrt{\csc(3e^{x})})
derivative of e^xx^e
\frac{d}{dx}(e^{x}x^{e})
derivative of 3^{sin(x^3})
\frac{d}{dx}(3^{\sin(x^{3})})
integral of x^5*e^x
\int\:x^{5}\cdot\:e^{x}dx
integral of (t+1)/t
\int\:\frac{t+1}{t}dt
limit as (x,y) approaches (0,0) of (x^2+y^2)ln(x^2+y^2)
\lim\:_{(x,y)\to\:(0,0)}((x^{2}+y^{2})\ln(x^{2}+y^{2}))
slope of y=4x-x^2
slope\:y=4x-x^{2}
derivative of x+7sqrt(x)
derivative\:x+7\sqrt{x}
integral of x^2+6x+1
\int\:x^{2}+6x+1dx
derivative of x/3 (2x+1^3)
\frac{d}{dx}(\frac{x}{3}(2x+1)^{3})
integral of (3^x)/(3^x+2)
\int\:\frac{3^{x}}{3^{x}+2}dx
limit as x approaches 0 of 1/(e^{1/x)}
\lim\:_{x\to\:0}(\frac{1}{e^{\frac{1}{x}}})
(\partial)/(\partial z)(x/z)
\frac{\partial\:}{\partial\:z}(\frac{x}{z})
derivative of g(x)=ln(xe^{-7x})
derivative\:g(x)=\ln(xe^{-7x})
(\partial)/(\partial y)(x^2y^{1/3})
\frac{\partial\:}{\partial\:y}(x^{2}y^{\frac{1}{3}})
integral of u/(sqrt(u^2+1))
\int\:\frac{u}{\sqrt{u^{2}+1}}du
limit as x approaches 0 of (ln(\frac{1+x)/(1-x))-2x}{x-sin(x)}
\lim\:_{x\to\:0}(\frac{\ln(\frac{1+x}{1-x})-2x}{x-\sin(x)})
integral of xsqrt(x^4+1)
\int\:x\sqrt{x^{4}+1}dx
tangent of f(x)=6x-x^2,\at x=0
tangent\:f(x)=6x-x^{2},\at\:x=0
derivative of f(t)=80t+t^2-1/48 t^3
derivative\:f(t)=80t+t^{2}-\frac{1}{48}t^{3}
area-4x+x^2+10,12-5x,4x-6
area\:-4x+x^{2}+10,12-5x,4x-6
integral from 1 to 16 of 8/(sqrt(x))
\int\:_{1}^{16}\frac{8}{\sqrt{x}}dx
derivative of (2+3x(3-2x))
\frac{d}{dx}((2+3x)(3-2x))
derivative of f(x)=e^{-4x}
derivative\:f(x)=e^{-4x}
derivative of (14x+8x^2/((7+8x)^2))
\frac{d}{dx}(\frac{14x+8x^{2}}{(7+8x)^{2}})
limit as x approaches-2 of x/(x^2+4)
\lim\:_{x\to\:-2}(\frac{x}{x^{2}+4})
integral of e^{x^2} x/3
\int\:e^{x^{2}}\frac{x}{3}dx
sum from n=0 to infinity of 2*5^n
\sum\:_{n=0}^{\infty\:}2\cdot\:5^{n}
y^'= y/a-1
y^{\prime\:}=\frac{y}{a}-1
limit as x approaches 3 of 2sqrt(3x)
\lim\:_{x\to\:3}(2\sqrt{3x})
integral of 5e^x+3sin(x)
\int\:5e^{x}+3\sin(x)dx
integral of 1/(xsqrt(4x^2+49))
\int\:\frac{1}{x\sqrt{4x^{2}+49}}dx
slope of (7,-2),(-7,2)
slope\:(7,-2),(-7,2)
derivative of-27e^{-3x}
\frac{d}{dx}(-27e^{-3x})
derivative of f(x)= 1/2 x^2\sqrt[3]{x}
derivative\:f(x)=\frac{1}{2}x^{2}\sqrt[3]{x}
sum from n=0 to infinity of 5(4x^2)^n
\sum\:_{n=0}^{\infty\:}5(4x^{2})^{n}
derivative of e^{-0.01x}
\frac{d}{dx}(e^{-0.01x})
sum from n=1 to infinity of 1/(n^{1/n)}
\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{1}{n}}}
sum from n=0 to infinity}(-1)^{n+2}*t^{2n of*(1/(n!))
\sum\:_{n=0}^{\infty\:}(-1)^{n+2}\cdot\:t^{2n}\cdot\:(\frac{1}{n!})
integral from-11 to 0 of 1/(sqrt(25-x))
\int\:_{-11}^{0}\frac{1}{\sqrt{25-x}}dx
integral of 12t
\int\:12tdt
derivative of 2^{(5x)}
derivative\:2^{(5x)}
derivative of (x-2^3)
\frac{d}{dx}((x-2)^{3})
inverse oflaplace-1/(s^2)e^{-5s}+1/(s^2)
inverselaplace\:-\frac{1}{s^{2}}e^{-5s}+\frac{1}{s^{2}}
integral of (3x^2-8x-9)/(x^3-4x^2-9x+36)
\int\:\frac{3x^{2}-8x-9}{x^{3}-4x^{2}-9x+36}dx
limit as x approaches infinity of 15^x
\lim\:_{x\to\:\infty\:}(15^{x})
integral of (3x^2-5x)^3(6x-5)
\int\:(3x^{2}-5x)^{3}(6x-5)dx
y(9-y)-81/4 =(dy)/(dt),y(0)=4
y(9-y)-\frac{81}{4}=\frac{dy}{dt},y(0)=4
limit as x approaches infinity of 1.2^x
\lim\:_{x\to\:\infty\:}(1.2^{x})
limit as x approaches 0 of 2/(1+e^{1/x)}
\lim\:_{x\to\:0}(\frac{2}{1+e^{\frac{1}{x}}})
t(dy)/(dt)=t^3+14t^3y
t\frac{dy}{dt}=t^{3}+14t^{3}y
derivative of-y/(x^2+y^2+1)
\frac{d}{dx}(-\frac{y}{x^{2}+y^{2}+1})
derivative of (1-ln(x))/(2x^2)
derivative\:\frac{1-\ln(x)}{2x^{2}}
limit as x approaches 1+of (x-1)^{x-1}
\lim\:_{x\to\:1+}((x-1)^{x-1})
inverse oflaplace 1/(s^2+6s+10)
inverselaplace\:\frac{1}{s^{2}+6s+10}
(\partial)/(\partial y)(-2y)
\frac{\partial\:}{\partial\:y}(-2y)
derivative of y=2x+3
derivative\:y=2x+3
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