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Popular Calculus Problems
integral of sin(3x)*e^{2x}
\int\:\sin(3x)\cdot\:e^{2x}dx
integral of 1/2 (11cos(x)-10)^2
\int\:\frac{1}{2}(11\cos(x)-10)^{2}dx
derivative of 2x^3y^2
\frac{d}{dx}(2x^{3}y^{2})
(\partial)/(\partial x)(cos(x))
\frac{\partial\:}{\partial\:x}(\cos(x))
derivative of y=x(x-2)^3
derivative\:y=x(x-2)^{3}
limit as x approaches infinity of (3x)/5
\lim\:_{x\to\:\infty\:}(\frac{3x}{5})
(\partial)/(\partial y)(2x^3y^3+3x+4y)
\frac{\partial\:}{\partial\:y}(2x^{3}y^{3}+3x+4y)
integral from-1 to 1 of e^x-(x^2-1)
\int\:_{-1}^{1}e^{x}-(x^{2}-1)dx
area 5x^2+2,0,2
area\:5x^{2}+2,0,2
derivative of f(t)=(t^2+3t+7)(3t^2+3)
derivative\:f(t)=(t^{2}+3t+7)(3t^{2}+3)
integral of 1/(x^2sqrt(81-x^2))
\int\:\frac{1}{x^{2}\sqrt{81-x^{2}}}dx
integral of x^3e^{3x^2}
\int\:x^{3}e^{3x^{2}}dx
y^{''}-3y^'+2y=t
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=t
d/(dy)(sin(x+y))
\frac{d}{dy}(\sin(x+y))
limit as x approaches pi of x^3cos(x)
\lim\:_{x\to\:π}(x^{3}\cos(x))
derivative of G(t)=(1-3t)/(5+t)
derivative\:G(t)=\frac{1-3t}{5+t}
derivative of (Ax^2+Bx+Ce^{3x})
\frac{d}{dx}((Ax^{2}+Bx+C)e^{3x})
(dy)/(dx)=xe^{-2x}
\frac{dy}{dx}=xe^{-2x}
integral of 2/(x+3)
\int\:\frac{2}{x+3}dx
integral of \sqrt[7]{x^3}
\int\:\sqrt[7]{x^{3}}dx
derivative of (x^2+3/((x-1)^3+(x+1)^3))
\frac{d}{dx}(\frac{x^{2}+3}{(x-1)^{3}+(x+1)^{3}})
slope of (6,-5),(2,3)
slope\:(6,-5),(2,3)
tangent of f(x)=((x-3)/(x+3))^2,\at x=-2
tangent\:f(x)=(\frac{x-3}{x+3})^{2},\at\:x=-2
y^{''}+7y^'+10y=-18te^{3t}
y^{\prime\:\prime\:}+7y^{\prime\:}+10y=-18te^{3t}
integral of 4e^{6x}
\int\:4e^{6x}dx
(\partial)/(\partial x)(cos^6(x^7y^8))
\frac{\partial\:}{\partial\:x}(\cos^{6}(x^{7}y^{8}))
integral from 1/2 to 1 of (x^{-3}-6)
\int\:_{\frac{1}{2}}^{1}(x^{-3}-6)dx
3xdx+4ydy=0
3xdx+4ydy=0
derivative of-3sqrt(x)-2\sqrt[3]{x^2}
\frac{d}{dx}(-3\sqrt{x}-2\sqrt[3]{x^{2}})
slope of (-5,5),(5,-2)
slope\:(-5,5),(5,-2)
limit as x approaches 0+of x^{9/x}
\lim\:_{x\to\:0+}(x^{\frac{9}{x}})
tangent of f(x)=x^2+9
tangent\:f(x)=x^{2}+9
integral of csc^2(2t)
\int\:\csc^{2}(2t)dt
integral from (-1) to 3 of-|x-4|+2
\int\:_{(-1)}^{3}-\left|x-4\right|+2dx
tangent of x/(x^2+81)
tangent\:\frac{x}{x^{2}+81}
(\partial)/(\partial y)(xe^{x^3y})
\frac{\partial\:}{\partial\:y}(xe^{x^{3}y})
derivative of (x+2e^x)
\frac{d}{dx}((x+2)e^{x})
(\partial)/(\partial x)((-2x-y)/((x-y)^4))
\frac{\partial\:}{\partial\:x}(\frac{-2x-y}{(x-y)^{4}})
integral of x*ln(1/x)
\int\:x\cdot\:\ln(\frac{1}{x})dx
integral of (1-e^{-4x})/(1+e^{-4x)}
\int\:\frac{1-e^{-4x}}{1+e^{-4x}}dx
derivative of (1+4x)^{3/2}
derivative\:(1+4x)^{\frac{3}{2}}
derivative of 1/(8x^{-4}+1/(4x^2))
\frac{d}{dx}(\frac{1}{8x^{-4}}+\frac{1}{4x^{2}})
derivative of 2x-cos(x)
\frac{d}{dx}(2x-\cos(x))
2y^'=3t+2
2y^{\prime\:}=3t+2
derivative of e^{-pi/2}
\frac{d}{dx}(e^{-\frac{π}{2}})
integral of \sqrt[3]{x}+xsqrt(x)
\int\:\sqrt[3]{x}+x\sqrt{x}dx
integral of (e^x)/(16-e^{2x)}
\int\:\frac{e^{x}}{16-e^{2x}}dx
limit as n approaches infinity of 3^{-n}
\lim\:_{n\to\:\infty\:}(3^{-n})
derivative of y=(x^3-2)^2
derivative\:y=(x^{3}-2)^{2}
taylor (x)^{(1/3)}
taylor\:(x)^{(\frac{1}{3})}
(\partial)/(\partial x)(x^7yz^2+3yz)
\frac{\partial\:}{\partial\:x}(x^{7}yz^{2}+3yz)
integral from 0 to 1 of sqrt(x)-x^3
\int\:_{0}^{1}\sqrt{x}-x^{3}dx
y^'(1+x^2)+(1+y^2)=0
y^{\prime\:}(1+x^{2})+(1+y^{2})=0
integral of-(2x)/3+2
\int\:-\frac{2x}{3}+2dx
limit as x approaches-2+of 2/(x^2-4)
\lim\:_{x\to\:-2+}(\frac{2}{x^{2}-4})
x(dy)/(dx)+y=x^4y^3
x\frac{dy}{dx}+y=x^{4}y^{3}
y^'+2x^2=0
y^{\prime\:}+2x^{2}=0
integral of (3+x+x^2)/(sqrt(x))
\int\:\frac{3+x+x^{2}}{\sqrt{x}}dx
derivative of (150000/((4x+75)^2))
\frac{d}{dx}(\frac{150000}{(4x+75)^{2}})
derivative of arctan(2/x)
\frac{d}{dx}(\arctan(\frac{2}{x}))
derivative of cos(5x^2)
\frac{d}{dx}(\cos(5x^{2}))
derivative of 4sin^2(0.5t)+1
derivative\:4\sin^{2}(0.5t)+1
tangent of f(x)=3sqrt(x),\at x=4
tangent\:f(x)=3\sqrt{x},\at\:x=4
integral of (sqrt(4x^2-49))/(x^3)
\int\:\frac{\sqrt{4x^{2}-49}}{x^{3}}dx
derivative of x/(5x+2)
derivative\:\frac{x}{5x+2}
integral of (6e^{6t})/(3+e^{6t)}
\int\:\frac{6e^{6t}}{3+e^{6t}}dt
limit as x approaches infinity of e^x+x
\lim\:_{x\to\:\infty\:}(e^{x}+x)
derivative of y=a^3+cos^3(x)
derivative\:y=a^{3}+\cos^{3}(x)
integral of 5/(x^2+8x+41)
\int\:\frac{5}{x^{2}+8x+41}dx
integral of 8sin^2(x)cos^3(x)
\int\:8\sin^{2}(x)\cos^{3}(x)dx
y=e^p(p+psqrt(p))
y=e^{p}(p+p\sqrt{p})
y^{''}-y^'+2y=e^x,y(0)=0,y^'(0)=0
y^{\prime\:\prime\:}-y^{\prime\:}+2y=e^{x},y(0)=0,y^{\prime\:}(0)=0
integral of-1/(2x^3)
\int\:-\frac{1}{2x^{3}}dx
integral of (y^2-1)/(y 3/2)
\int\:\frac{y^{2}-1}{y\frac{3}{2}}dy
integral of (2x-1)sin(3x)
\int\:(2x-1)\sin(3x)dx
integral of ((x^2+x))/(x^2)
\int\:\frac{(x^{2}+x)}{x^{2}}dx
(d^2y)/(dx^2)+(dy)/(dx)-6y=4e^{-x}
\frac{d^{2}y}{dx^{2}}+\frac{dy}{dx}-6y=4e^{-x}
derivative of cos^2(2x)
derivative\:\cos^{2}(2x)
integral of (x^5)/(x^3-8)
\int\:\frac{x^{5}}{x^{3}-8}dx
derivative of f(x)=-4.9x^2+35x+4
derivative\:f(x)=-4.9x^{2}+35x+4
partialfraction x/(x-2)
partialfraction\:\frac{x}{x-2}
integral of (e^{3x})/(e^{3x)+6}
\int\:\frac{e^{3x}}{e^{3x}+6}dx
d/(dθ)(asin(θ))
\frac{d}{dθ}(a\sin(θ))
derivative of 3xy^3
\frac{d}{dx}(3xy^{3})
y^{''}=-9sin(5x)
y^{\prime\:\prime\:}=-9\sin(5x)
(\partial)/(\partial x)(2/x-n)
\frac{\partial\:}{\partial\:x}(\frac{2}{x}-n)
integral of (8t^3-6t^{-2})
\int\:(8t^{3}-6t^{-2})dt
limit as x approaches-1^{-1} of x/(x+1)
\lim\:_{x\to\:-1^{-1}}(\frac{x}{x+1})
integral of 9/(sqrt(x+9)+\sqrt{x)}
\int\:\frac{9}{\sqrt{x+9}+\sqrt{x}}dx
derivative of f(x)=x^2(1-8x)
derivative\:f(x)=x^{2}(1-8x)
tangent of ln(sqrt(2x+1))
tangent\:\ln(\sqrt{2x+1})
f^{''}(x)=(x^2-2x+1)/(x^2)
f^{\prime\:\prime\:}(x)=\frac{x^{2}-2x+1}{x^{2}}
derivative of x-x^3sin(x)
\frac{d}{dx}(x-x^{3}\sin(x))
inverse oflaplace s/((s^2+1)(s^2+2s+2))
inverselaplace\:\frac{s}{(s^{2}+1)(s^{2}+2s+2)}
(dy)/(dx)=y(xy^6+3)
\frac{dy}{dx}=y(xy^{6}+3)
area 16x,x^3,[-4,4]
area\:16x,x^{3},[-4,4]
(dy)/(dx)=(x+y+6)^2
\frac{dy}{dx}=(x+y+6)^{2}
integral of (6xy^2)
\int\:(6xy^{2})dz
(dy)/(dx)=(2x)/(5y)
\frac{dy}{dx}=\frac{2x}{5y}
integral from 1 to 2 of ((8-x^2))/(x^3)
\int\:_{1}^{2}\frac{(8-x^{2})}{x^{3}}dx
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