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Popular Calculus Problems
derivative of (e^{-x}/((1+e^{-x))^2})
\frac{d}{dx}(\frac{e^{-x}}{(1+e^{-x})^{2}})
integral of sqrt(u)
\int\:\sqrt{u}du
inverse oflaplace 1/t
inverselaplace\:\frac{1}{t}
derivative of (x+ye^y)
\frac{d}{dx}((x+y)e^{y})
limit as x approaches-1/2 of 4x(3x+4)^2
\lim\:_{x\to\:-\frac{1}{2}}(4x(3x+4)^{2})
limit as a approaches t of a^5+a^5
\lim\:_{a\to\:t}(a^{5}+a^{5})
(\partial)/(\partial z)(xy^2arctan(z))
\frac{\partial\:}{\partial\:z}(xy^{2}\arctan(z))
integral from 1 to 2 of 3/(x^2)
\int\:_{1}^{2}\frac{3}{x^{2}}dx
(\partial)/(\partial x)(xsqrt(xy))
\frac{\partial\:}{\partial\:x}(x\sqrt{xy})
tangent of f(t)=-16t^2+32t+240,\at t=240
tangent\:f(t)=-16t^{2}+32t+240,\at\:t=240
derivative of (x-1/2)
\frac{d}{dx}(\frac{x-1}{2})
(\partial)/(\partial x)((90)/(6+x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{90}{6+x^{2}+y^{2}})
integral of 1/(\sqrt[3]{x^2)}
\int\:\frac{1}{\sqrt[3]{x^{2}}}dx
integral of cot(θ)
\int\:\cot(θ)dθ
integral of (x(3x-sqrt(x))+(e^{ex}+8))
\int\:(x(3x-\sqrt{x})+(e^{ex}+8))dx
(\partial)/(\partial y)(x^2y^2-xy+2)
\frac{\partial\:}{\partial\:y}(x^{2}y^{2}-xy+2)
integral from 1 to 4 of 5e^{sqrt(x)}
\int\:_{1}^{4}5e^{\sqrt{x}}dx
y^{''}+81y=5tan(9x)
y^{\prime\:\prime\:}+81y=5\tan(9x)
integral of (x^2)/(sqrt(2x^2-9))
\int\:\frac{x^{2}}{\sqrt{2x^{2}-9}}dx
limit as x approaches-1 of 7x+2
\lim\:_{x\to\:-1}(7x+2)
integral from-6 to 8 of x/2+8
\int\:_{-6}^{8}\frac{x}{2}+8dx
integral of x^5sqrt(5+x^6)
\int\:x^{5}\sqrt{5+x^{6}}dx
integral of (x^3-6x+8)/(x^2)
\int\:\frac{x^{3}-6x+8}{x^{2}}dx
integral of 2/((x^2-1))
\int\:\frac{2}{(x^{2}-1)}dx
(e^{4x})^'
(e^{4x})^{\prime\:}
derivative of 5*e^x+2*3^x
\frac{d}{dx}(5\cdot\:e^{x}+2\cdot\:3^{x})
simplify e^{-t^2}
simplify\:e^{-t^{2}}
integral of (x^2e^x)
\int\:(x^{2}e^{x})dx
area y=x^3+1,(0,2)
area\:y=x^{3}+1,(0,2)
limit as x approaches infinity+of x^2x
\lim\:_{x\to\:\infty\:+}(x^{2}x)
(\partial)/(\partial y)((e^x)/(1+y))
\frac{\partial\:}{\partial\:y}(\frac{e^{x}}{1+y})
integral of (tan^5(x))/(sec^8(x))
\int\:\frac{\tan^{5}(x)}{\sec^{8}(x)}dx
integral from 0 to 4 of pi(16x^2-x^4)
\int\:_{0}^{4}π(16x^{2}-x^{4})dx
integral of (2x)/(1-8x^2)
\int\:\frac{2x}{1-8x^{2}}dx
integral of (e^{7sqrt(t)})/(sqrt(t))
\int\:\frac{e^{7\sqrt{t}}}{\sqrt{t}}dt
limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15)
\lim\:_{x\to\:5}(\frac{3x^{2}-13x-10}{2x^{2}-7x-15})
derivative of (x^2-3x/(sqrt(x+1)))
\frac{d}{dx}(\frac{x^{2}-3x}{\sqrt{x+1}})
integral of 9xe^{17x}
\int\:9xe^{17x}dx
integral of cot^3(2x)
\int\:\cot^{3}(2x)dx
derivative of (x^2+4)^7
derivative\:(x^{2}+4)^{7}
limit as x approaches a of 2-x
\lim\:_{x\to\:a}(2-x)
y^{''}-6y^'+9y=24-9t-(12te^{3t}+4e^{3t})
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=24-9t-(12te^{3t}+4e^{3t})
limit as x approaches 4-of x
\lim\:_{x\to\:4-}(x)
dx+(x+y+1)dy=0
dx+(x+y+1)dy=0
f(x)=x^3-x-1
f(x)=x^{3}-x-1
tangent of f(x)=(x+1)/(x-1),\at x=0
tangent\:f(x)=\frac{x+1}{x-1},\at\:x=0
5t*(dy)/(dt)+4y=sqrt(t)
5t\cdot\:\frac{dy}{dt}+4y=\sqrt{t}
integral from 2 to infinity of 2/(t^2-1)
\int\:_{2}^{\infty\:}\frac{2}{t^{2}-1}dt
derivative of (sqrt(9-x^2))(1/3)pix^2
derivative\:(\sqrt{9-x^{2}})(\frac{1}{3})πx^{2}
integral from 0 to 16 of 1/(sqrt(16-x))
\int\:_{0}^{16}\frac{1}{\sqrt{16-x}}dx
tangent of f(x)=(-3x^2+3)e^{2x},\at x=2
tangent\:f(x)=(-3x^{2}+3)e^{2x},\at\:x=2
integral of 1/(sqrt(3+x^2))
\int\:\frac{1}{\sqrt{3+x^{2}}}dx
integral of ((x^2)/3+7x)
\int\:(\frac{x^{2}}{3}+7x)dx
integral from-1 to 1 of 2|x|
\int\:_{-1}^{1}2\left|x\right|dx
derivative of 5+6/x+6/(x^2)
derivative\:5+\frac{6}{x}+\frac{6}{x^{2}}
(\partial)/(\partial y)(2yx^3)
\frac{\partial\:}{\partial\:y}(2yx^{3})
integral of-1/(3x^4)
\int\:-\frac{1}{3x^{4}}dx
(dy)/(dx)+(cot(x))y=2*csc(x)
\frac{dy}{dx}+(\cot(x))y=2\cdot\:\csc(x)
derivative of x*cos(((x)/((x-2))))
\frac{d}{dx}(x\cdot\:\cos(\frac{(x)}{(x-2)}))
limit as x approaches 0 of-e^x
\lim\:_{x\to\:0}(-e^{x})
x^2y^'=(x+1)y
x^{2}y^{\prime\:}=(x+1)y
integral from-1 to 0 of 1/(1+x^2)
\int\:_{-1}^{0}\frac{1}{1+x^{2}}dx
integral from 0 to 1 of-1(x^2+1)e^{-x}
\int\:_{0}^{1}-1(x^{2}+1)e^{-x}dx
(\partial)/(\partial x)(7-3x^2-3y^2)
\frac{\partial\:}{\partial\:x}(7-3x^{2}-3y^{2})
slope of (2.4)(6.12)
slope\:(2.4)(6.12)
limit as x approaches 0+of (x+1)^{inx}
\lim\:_{x\to\:0+}((x+1)^{inx})
derivative of 6sqrt(x)+5cos(x)
derivative\:6\sqrt{x}+5\cos(x)
limit as x approaches infinity of x^2+x
\lim\:_{x\to\:\infty\:}(x^{2}+x)
sum from n=0 to infinity}(5^{2n of)/(n!)
\sum\:_{n=0}^{\infty\:}\frac{5^{2n}}{n!}
tangent of 8-x^2
tangent\:8-x^{2}
integral of 8cos^2(5x)
\int\:8\cos^{2}(5x)dx
derivative of (5^x+2/(5^x+1))
\frac{d}{dx}(\frac{5^{x}+2}{5^{x}+1})
derivative of y=sqrt(-8+5x)
derivative\:y=\sqrt{-8+5x}
integral of (14)/(1-cos(2x))
\int\:\frac{14}{1-\cos(2x)}dx
integral of 6x^2y-2x
\int\:6x^{2}y-2xdy
(\partial)/(\partial x)(yx^2+xy^2+yz^2)
\frac{\partial\:}{\partial\:x}(yx^{2}+xy^{2}+yz^{2})
integral of (e^x(1+x))/(cos^2(xe^x))
\int\:\frac{e^{x}(1+x)}{\cos^{2}(xe^{x})}dx
derivative of x/8-8/x
\frac{d}{dx}(\frac{x}{8}-\frac{8}{x})
tangent of f(x)=sin(x),(0,0)
tangent\:f(x)=\sin(x),(0,0)
slope of (1.7)(10.8)
slope\:(1.7)(10.8)
integral from 1 to 10 of (33)/(x^3)
\int\:_{1}^{10}\frac{33}{x^{3}}dx
inverse oflaplace 1/(s^2+2*0.5*1s+1)
inverselaplace\:\frac{1}{s^{2}+2\cdot\:0.5\cdot\:1s+1}
integral from 0 to 1 of (1-x^2)
\int\:_{0}^{1}(1-x^{2})dx
f(x)=e^{3x}cos(2x)
f(x)=e^{3x}\cos(2x)
limit as x approaches+2 of 2x+3
\lim\:_{x\to\:+2}(2x+3)
tangent of f(x)= 2/(sqrt(x)),\at x= 1/9
tangent\:f(x)=\frac{2}{\sqrt{x}},\at\:x=\frac{1}{9}
limit as t approaches+0 of (sin(7t))/t
\lim\:_{t\to\:+0}(\frac{\sin(7t)}{t})
integral of 1/(x^3*\sqrt[5]{1+1/x)}
\int\:\frac{1}{x^{3}\cdot\:\sqrt[5]{1+\frac{1}{x}}}dx
derivative of ln(1/2)
\frac{d}{dx}(\ln(\frac{1}{2}))
tangent of f(x)=-2x^{2/3}-4,\at x=8
tangent\:f(x)=-2x^{\frac{2}{3}}-4,\at\:x=8
integral of (x^3)/(1-x^8)
\int\:\frac{x^{3}}{1-x^{8}}dx
derivative of (1-2ln(x))/(x^3)
derivative\:\frac{1-2\ln(x)}{x^{3}}
integral of (sqrt(64-x^2))/(x^2)
\int\:\frac{\sqrt{64-x^{2}}}{x^{2}}dx
integral from 1 to 3 of 9/(x^2)
\int\:_{1}^{3}\frac{9}{x^{2}}dx
integral of e^{-4x}sin(5x)
\int\:e^{-4x}\sin(5x)dx
derivative of f(x)=(110)/(x^{12)}
derivative\:f(x)=\frac{110}{x^{12}}
derivative of f(x)=7x^4arctan(4x^4)
derivative\:f(x)=7x^{4}\arctan(4x^{4})
integral of 7/((1-x^2)^{3/2)}
\int\:\frac{7}{(1-x^{2})^{\frac{3}{2}}}dx
derivative of 2dx
\frac{d}{dx}(2dx)
limit as x approaches 1 of 4x^3-x^2+7x
\lim\:_{x\to\:1}(4x^{3}-x^{2}+7x)
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