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Popular Calculus Problems
derivative of f(x)=((3x^2)/(2x+4))^3,x=2
derivative\:f(x)=(\frac{3x^{2}}{2x+4})^{3},x=2
taylor 100x+0.01x^2
taylor\:100x+0.01x^{2}
derivative of 4(2-x^2^2)
\frac{d}{dx}(4(2-x^{2})^{2})
integral from 0 to ln(2) of 4(2-xe^x)
\int\:_{0}^{\ln(2)}4(2-xe^{x})dx
x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0
x^{2}\frac{d^{2}y}{dx^{2}}+x\frac{dy}{dx}+y=0
f(x)=e^{tan(x)}
f(x)=e^{\tan(x)}
derivative of 1-(x^2+y^2^{1/3})
\frac{d}{dx}(1-(x^{2}+y^{2})^{\frac{1}{3}})
integral of sqrt(4x-3-x^2)
\int\:\sqrt{4x-3-x^{2}}dx
(\partial)/(\partial x)(1/(xyz))
\frac{\partial\:}{\partial\:x}(\frac{1}{xyz})
(x-8y)dx+4xdy=0
(x-8y)dx+4xdy=0
inverse oflaplace 1/((s-2)(s-1))
inverselaplace\:\frac{1}{(s-2)(s-1)}
derivative of sqrt(x^2+c)
\frac{d}{dx}(\sqrt{x^{2}+c})
derivative of (ln(x)/(x^7))
\frac{d}{dx}(\frac{\ln(x)}{x^{7}})
integral from 1 to 3 of 17r^3ln(r)
\int\:_{1}^{3}17r^{3}\ln(r)dr
y^'-(6y)/x =x^6e^x
y^{\prime\:}-\frac{6y}{x}=x^{6}e^{x}
d/(dy)(xysin(y)+xy^2sin(x)+1/x)
\frac{d}{dy}(xy\sin(y)+xy^{2}\sin(x)+\frac{1}{x})
limit as x approaches 3 of csc((pix)/4)
\lim\:_{x\to\:3}(\csc(\frac{πx}{4}))
integral of e^{-x}*cos(x)
\int\:e^{-x}\cdot\:\cos(x)dx
(xy^3+1)dx+x^2y^2dy=0
(xy^{3}+1)dx+x^{2}y^{2}dy=0
x(dy)/(dx)-x^2y=-x^2
x\frac{dy}{dx}-x^{2}y=-x^{2}
(y^'-e^{-t}+4)/y =-4,y(0)=3
\frac{y^{\prime\:}-e^{-t}+4}{y}=-4,y(0)=3
derivative of arcsec(x^2+1)
\frac{d}{dx}(\arcsec(x^{2}+1))
limit as x approaches infinity of 3x^3(e^{-2/(x^3)}-1)
\lim\:_{x\to\:\infty\:}(3x^{3}(e^{-\frac{2}{x^{3}}}-1))
integral of pixcos(2x)
\int\:πx\cos(2x)dx
sum from n=1 to infinity of cos(1/(n^3))
\sum\:_{n=1}^{\infty\:}\cos(\frac{1}{n^{3}})
integral of 15x^2(x^3-1)^4
\int\:15x^{2}(x^{3}-1)^{4}dx
derivative of-15x^4+270x^2
derivative\:-15x^{4}+270x^{2}
derivative of 5e^{6x}
\frac{d}{dx}(5e^{6x})
integral of 8x^3e^{-x^2}
\int\:8x^{3}e^{-x^{2}}dx
y^'=y(xy^4+2)
y^{\prime\:}=y(xy^{4}+2)
limit as x approaches 9 of (x-9)^4
\lim\:_{x\to\:9}((x-9)^{4})
derivative of sin(x-x)
\frac{d}{dx}(\sin(x)-x)
derivative of ((3x^2e^x-4))/(x^2)
derivative\:\frac{(3x^{2}e^{x}-4)}{x^{2}}
integral of (t^3)/(sqrt(1-t^8))
\int\:\frac{t^{3}}{\sqrt{1-t^{8}}}dt
integral from 2 to 3 of e^{1-x}
\int\:_{2}^{3}e^{1-x}dx
(\partial)/(\partial y)(ln(y^2+1))
\frac{\partial\:}{\partial\:y}(\ln(y^{2}+1))
(dy)/(dx)=-1/(5xy)
\frac{dy}{dx}=-\frac{1}{5xy}
integral of ((ln(x))/x)^2
\int\:(\frac{\ln(x)}{x})^{2}dx
(\partial)/(\partial x)(300-20x^2+30y)
\frac{\partial\:}{\partial\:x}(300-20x^{2}+30y)
x(dy)/(dx)+1y=6y^2,y(1)=-1
x\frac{dy}{dx}+1y=6y^{2},y(1)=-1
sum from n=1 to infinity of 1/(2n+3)
\sum\:_{n=1}^{\infty\:}\frac{1}{2n+3}
tangent of x^2+6
tangent\:x^{2}+6
derivative of-49sin(7x)
\frac{d}{dx}(-49\sin(7x))
integral of 4sin(5x)+5sin(4x)
\int\:4\sin(5x)+5\sin(4x)dx
derivative of 2^x*ln(2)
derivative\:2^{x}\cdot\:\ln(2)
derivative of e^{-x}cos(1/2 x)
\frac{d}{dx}(e^{-x}\cos(\frac{1}{2}x))
limit as x approaches 0 of x^{8sin(x)}
\lim\:_{x\to\:0}(x^{8\sin(x)})
(xsqrt(1-x^2))^'
(x\sqrt{1-x^{2}})^{\prime\:}
integral of (sec^2(y))/(tan(y))
\int\:\frac{\sec^{2}(y)}{\tan(y)}dy
derivative of sin^2(tan(4x))
\frac{d}{dx}(\sin^{2}(\tan(4x)))
integral of tan(θ)sec(θ)
\int\:\tan(θ)\sec(θ)dθ
y^'=e^{4x+y}
y^{\prime\:}=e^{4x+y}
(\partial)/(\partial x)((-x)/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{-x}{x^{2}+y^{2}})
limit as x approaches 2-of 1/((x-2)^2)
\lim\:_{x\to\:2-}(\frac{1}{(x-2)^{2}})
tangent of 2x^2+5x+1
tangent\:2x^{2}+5x+1
cos^2(t)y^'=1
\cos^{2}(t)y^{\prime\:}=1
integral of 1/(e^y)
\int\:\frac{1}{e^{y}}dy
(dy)/(dx)+(2x)/(1+x^2)y=-2xy^2
\frac{dy}{dx}+\frac{2x}{1+x^{2}}y=-2xy^{2}
integral from 1 to x of 2(x-1)
\int\:_{1}^{x}2(x-1)dx
derivative of f(x)=arctan(x^{10})
derivative\:f(x)=\arctan(x^{10})
laplacetransform 3t^4+7t^2-5
laplacetransform\:3t^{4}+7t^{2}-5
integral of 6+3cos(x)
\int\:6+3\cos(x)dx
integral of 5/(x(x^4+7))
\int\:\frac{5}{x(x^{4}+7)}dx
derivative of (2+e^x/(2-e^{-x)})
\frac{d}{dx}(\frac{2+e^{x}}{2-e^{-x}})
integral of (x-2)/(x+1)
\int\:\frac{x-2}{x+1}dx
limit as h approaches 0 of (f(h)(8+h)-f(8))/h
\lim\:_{h\to\:0}(\frac{f(h)(8+h)-f(8)}{h})
slope of (-5,-10),(-1,5)
slope\:(-5,-10),(-1,5)
inverse oflaplace ((2-5s))/(s^2+9)
inverselaplace\:\frac{(2-5s)}{s^{2}+9}
derivative of 1/({g(x)})
\frac{d}{dx}(\frac{1}{{g}(x)})
integral of 8^{3x-1}
\int\:8^{3x-1}dx
derivative of 24x-176
derivative\:24x-176
integral from 3 to 4 of 1/((x-3)^{3/2)}
\int\:_{3}^{4}\frac{1}{(x-3)^{\frac{3}{2}}}dx
integral of 1/(1-sin(5x))
\int\:\frac{1}{1-\sin(5x)}dx
derivative of 16xsin(x)
\frac{d}{dx}(16x\sin(x))
integral of 1/((5x+3)^2)
\int\:\frac{1}{(5x+3)^{2}}dx
integral from 0 to 1 of (x-sqrt(x))/3
\int\:_{0}^{1}\frac{x-\sqrt{x}}{3}dx
integral of e^{ax}cos(x)
\int\:e^{ax}\cos(x)dx
integral of (x^2+2)/(x^3+6x)
\int\:\frac{x^{2}+2}{x^{3}+6x}dx
derivative of sec(pi/3)tan(pi/3)
derivative\:\sec(\frac{π}{3})\tan(\frac{π}{3})
(11x^2*y-13x)dy=-(11xy^2-13y)dx
(11x^{2}\cdot\:y-13x)dy=-(11xy^{2}-13y)dx
integral from 0 to 1 of (x^2+3)e^{-x}
\int\:_{0}^{1}(x^{2}+3)e^{-x}dx
integral of-ye^y
\int\:-ye^{y}dy
(\partial)/(\partial x)(x^2sqrt(y)+xy)
\frac{\partial\:}{\partial\:x}(x^{2}\sqrt{y}+xy)
integral from 0 to pi/2 of sin^4(x)
\int\:_{0}^{\frac{π}{2}}\sin^{4}(x)dx
integral of ((ln(x)-1))/(x^2)
\int\:\frac{(\ln(x)-1)}{x^{2}}dx
integral of (ln(17x))^2
\int\:(\ln(17x))^{2}dx
limit as x approaches infinity of 8/10
\lim\:_{x\to\:\infty\:}(\frac{8}{10})
derivative of f(x)=(x^2+5)/(x-2)
derivative\:f(x)=\frac{x^{2}+5}{x-2}
limit as n approaches infinity of nx
\lim\:_{n\to\:\infty\:}(nx)
(dy)/(dt)+e^ty=2e^t
\frac{dy}{dt}+e^{t}y=2e^{t}
tangent of f(x)=x^2-2x,(3,3)
tangent\:f(x)=x^{2}-2x,(3,3)
limit as x approaches 0 of Inx^2-x^2
\lim\:_{x\to\:0}(Inx^{2}-x^{2})
tangent of f(x)=-x^2,(3,-9)
tangent\:f(x)=-x^{2},(3,-9)
(dx)/(dt)=-40.8x+0.6
\frac{dx}{dt}=-40.8x+0.6
limit as x approaches-infinity of (2)^x
\lim\:_{x\to\:-\infty\:}((2)^{x})
limit as x approaches infinity of 1,x
\lim\:_{x\to\:\infty\:}(1,x)
integral from 0 to 4 of xsqrt(21-x^2)
\int\:_{0}^{4}x\sqrt{21-x^{2}}dx
y^{''}+2y^'=2x+5-e^{-2x}
y^{\prime\:\prime\:}+2y^{\prime\:}=2x+5-e^{-2x}
derivative of 1-e^{-5x}
\frac{d}{dx}(1-e^{-5x})
x(dy)/(dx)=y^2-4
x\frac{dy}{dx}=y^{2}-4
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