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derivative 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}
derivada de 4(2-x^2^2)	\frac{d}{dx}(4(2-x^{2})^{2})
integral de 0 a ln(2) de 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)}
derivada de 1-(x^2+y^2^{1/3})	\frac{d}{dx}(1-(x^{2}+y^{2})^{\frac{1}{3}})
integral de 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
inverselaplace 1/((s-2)(s-1))	inverselaplace\:\frac{1}{(s-2)(s-1)}
derivada de sqrt(x^2+c)	\frac{d}{dx}(\sqrt{x^{2}+c})
derivada de (ln(x)/(x^7))	\frac{d}{dx}(\frac{\ln(x)}{x^{7}})
integral de 1 a 3 de 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})
límite cuando x tiende a 3 de csc((pix)/4)	\lim\:_{x\to\:3}(\csc(\frac{πx}{4}))
integral de 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
derivada de arcsec(x^2+1)	\frac{d}{dx}(\arcsec(x^{2}+1))
límite cuando x tiende a infinity de 3x^3(e^{-2/(x^3)}-1)	\lim\:_{x\to\:\infty\:}(3x^{3}(e^{-\frac{2}{x^{3}}}-1))
integral de pixcos(2x)	\int\:πx\cos(2x)dx
serie de n=1 a infinity de cos(1/(n^3))	\sum\:_{n=1}^{\infty\:}\cos(\frac{1}{n^{3}})
integral de 15x^2(x^3-1)^4	\int\:15x^{2}(x^{3}-1)^{4}dx
derivative-15x^4+270x^2	derivative\:-15x^{4}+270x^{2}
derivada de 5e^{6x}	\frac{d}{dx}(5e^{6x})
integral de 8x^3e^{-x^2}	\int\:8x^{3}e^{-x^{2}}dx
y^'=y(xy^4+2)	y^{\prime\:}=y(xy^{4}+2)
límite cuando x tiende a 9 de (x-9)^4	\lim\:_{x\to\:9}((x-9)^{4})
derivada de sin(x-x)	\frac{d}{dx}(\sin(x)-x)
derivative ((3x^2e^x-4))/(x^2)	derivative\:\frac{(3x^{2}e^{x}-4)}{x^{2}}
integral de (t^3)/(sqrt(1-t^8))	\int\:\frac{t^{3}}{\sqrt{1-t^{8}}}dt
integral de 2 a 3 de 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 de ((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
serie de n=1 a infinity de 1/(2n+3)	\sum\:_{n=1}^{\infty\:}\frac{1}{2n+3}
tangent x^2+6	tangent\:x^{2}+6
derivada de-49sin(7x)	\frac{d}{dx}(-49\sin(7x))
integral de 4sin(5x)+5sin(4x)	\int\:4\sin(5x)+5\sin(4x)dx
derivative 2^x*ln(2)	derivative\:2^{x}\cdot\:\ln(2)
derivada de e^{-x}cos(1/2 x)	\frac{d}{dx}(e^{-x}\cos(\frac{1}{2}x))
límite cuando x tiende a 0 de x^{8sin(x)}	\lim\:_{x\to\:0}(x^{8\sin(x)})
(xsqrt(1-x^2))^'	(x\sqrt{1-x^{2}})^{\prime\:}
integral de (sec^2(y))/(tan(y))	\int\:\frac{\sec^{2}(y)}{\tan(y)}dy
derivada de sin^2(tan(4x))	\frac{d}{dx}(\sin^{2}(\tan(4x)))
integral de 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}})
límite cuando x tiende a 2-de 1/((x-2)^2)	\lim\:_{x\to\:2-}(\frac{1}{(x-2)^{2}})
tangent 2x^2+5x+1	tangent\:2x^{2}+5x+1
cos^2(t)y^'=1	\cos^{2}(t)y^{\prime\:}=1
integral de 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 de 1 a x de 2(x-1)	\int\:_{1}^{x}2(x-1)dx
derivative f(x)=arctan(x^{10})	derivative\:f(x)=\arctan(x^{10})
laplacetransform 3t^4+7t^2-5	laplacetransform\:3t^{4}+7t^{2}-5
integral de 6+3cos(x)	\int\:6+3\cos(x)dx
integral de 5/(x(x^4+7))	\int\:\frac{5}{x(x^{4}+7)}dx
derivada de (2+e^x/(2-e^{-x)})	\frac{d}{dx}(\frac{2+e^{x}}{2-e^{-x}})
integral de (x-2)/(x+1)	\int\:\frac{x-2}{x+1}dx
límite cuando h tiende a 0 de (f(h)(8+h)-f(8))/h	\lim\:_{h\to\:0}(\frac{f(h)(8+h)-f(8)}{h})
pendiente (-5,-10),(-1,5)	slope\:(-5,-10),(-1,5)
inverselaplace ((2-5s))/(s^2+9)	inverselaplace\:\frac{(2-5s)}{s^{2}+9}
derivada de 1/({g(x)})	\frac{d}{dx}(\frac{1}{{g}(x)})
integral de 8^{3x-1}	\int\:8^{3x-1}dx
derivative 24x-176	derivative\:24x-176
integral de 3 a 4 de 1/((x-3)^{3/2)}	\int\:_{3}^{4}\frac{1}{(x-3)^{\frac{3}{2}}}dx
integral de 1/(1-sin(5x))	\int\:\frac{1}{1-\sin(5x)}dx
derivada de 16xsin(x)	\frac{d}{dx}(16x\sin(x))
integral de 1/((5x+3)^2)	\int\:\frac{1}{(5x+3)^{2}}dx
integral de 0 a 1 de (x-sqrt(x))/3	\int\:_{0}^{1}\frac{x-\sqrt{x}}{3}dx
integral de e^{ax}cos(x)	\int\:e^{ax}\cos(x)dx
integral de (x^2+2)/(x^3+6x)	\int\:\frac{x^{2}+2}{x^{3}+6x}dx
derivative 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 de 0 a 1 de (x^2+3)e^{-x}	\int\:_{0}^{1}(x^{2}+3)e^{-x}dx
integral de-ye^y	\int\:-ye^{y}dy
(\partial)/(\partial x)(x^2sqrt(y)+xy)	\frac{\partial\:}{\partial\:x}(x^{2}\sqrt{y}+xy)
integral de 0 a pi/2 de sin^4(x)	\int\:_{0}^{\frac{π}{2}}\sin^{4}(x)dx
integral de ((ln(x)-1))/(x^2)	\int\:\frac{(\ln(x)-1)}{x^{2}}dx
integral de (ln(17x))^2	\int\:(\ln(17x))^{2}dx
límite cuando x tiende a infinity de 8/10	\lim\:_{x\to\:\infty\:}(\frac{8}{10})
derivative f(x)=(x^2+5)/(x-2)	derivative\:f(x)=\frac{x^{2}+5}{x-2}
límite cuando n tiende a infinity de nx	\lim\:_{n\to\:\infty\:}(nx)
(dy)/(dt)+e^ty=2e^t	\frac{dy}{dt}+e^{t}y=2e^{t}
tangent f(x)=x^2-2x,(3,3)	tangent\:f(x)=x^{2}-2x,(3,3)
límite cuando x tiende a 0 de Inx^2-x^2	\lim\:_{x\to\:0}(Inx^{2}-x^{2})
tangent 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
límite cuando x tiende a-infinity de (2)^x	\lim\:_{x\to\:-\infty\:}((2)^{x})
límite cuando x tiende a infinity de 1,x	\lim\:_{x\to\:\infty\:}(1,x)
integral de 0 a 4 de 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}
derivada de 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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