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área x,x^2,[0,1]	area\:x,x^{2},[0,1]
límite cuando x tiende a infinity de x*3	\lim\:_{x\to\:\infty\:}(x\cdot\:3)
tangent sqrt(x)+sqrt(y)=5	tangent\:\sqrt{x}+\sqrt{y}=5
integral de 2sin(x)-cos(x)	\int\:2\sin(x)-\cos(x)dx
(\partial)/(\partial x)((x^2)/(2y)+(3y^2)/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{2y}+\frac{3y^{2}}{x^{2}})
d/(dy)(ysqrt(x^2+y^2))	\frac{d}{dy}(y\sqrt{x^{2}+y^{2}})
serie de k=0 a infinity de (x^k)/(k!)	\sum\:_{k=0}^{\infty\:}\frac{x^{k}}{k!}
área-cos(x),cos^2(x),[(-pi)/2 , pi/2 ]	area\:-\cos(x),\cos^{2}(x),[\frac{-π}{2},\frac{π}{2}]
integral de 12x	\int\:12xdx
integral de 3/t	\int\:\frac{3}{t}dt
límite cuando x tiende a 8 de x/(ln(9-x))	\lim\:_{x\to\:8}(\frac{x}{\ln(9-x)})
límite cuando x tiende a 5 de 2/(x+5)	\lim\:_{x\to\:5}(\frac{2}{x+5})
2(dy)/(dx)=2x-y	2\frac{dy}{dx}=2x-y
(\partial)/(\partial x)(x(sin(xy)))	\frac{\partial\:}{\partial\:x}(x(\sin(xy)))
derivative y=cos(5x)	derivative\:y=\cos(5x)
integral de 5/(9+4x^2)	\int\:\frac{5}{9+4x^{2}}dx
integral de-infinity a-1 de e^{-22t}	\int\:_{-\infty\:}^{-1}e^{-22t}dt
tangent f(x)=(12)/(x^2-4),(4,4)	tangent\:f(x)=\frac{12}{x^{2}-4},(4,4)
integral de 7y	\int\:7ydy
derivative (2x*sqrt(3x-1))/(5x)	derivative\:\frac{2x\cdot\:\sqrt{3x-1}}{5x}
integral de (e^x)/(e^{2x)+16}	\int\:\frac{e^{x}}{e^{2x}+16}dx
integral de (x^3)/(\sqrt[9]{x^2+5)}	\int\:\frac{x^{3}}{\sqrt[9]{x^{2}+5}}dx
derivada de x/(\|x\|)	\frac{d}{dx}(\frac{x}{\left\|x\right\|})
(\partial)/(\partial x)(pi)	\frac{\partial\:}{\partial\:x}(π)
-x(dy)/(dx)+y=0	-x\frac{dy}{dx}+y=0
integral de 24x^2+16x	\int\:24x^{2}+16xdx
d/(d{x)}(({z})/(({x)^2+{y}^2+{z}^2)^{3/2}})	\frac{d}{d{x}}(\frac{{z}}{({x}^{2}+{y}^{2}+{z}^{2})^{\frac{3}{2}}})
inverselaplace 1/((s+1)(s+2)^2)	inverselaplace\:\frac{1}{(s+1)(s+2)^{2}}
derivative 1/(3-2x)	derivative\:\frac{1}{3-2x}
integral de 1/((x^2-4)^{1/2)}	\int\:\frac{1}{(x^{2}-4)^{\frac{1}{2}}}dx
(1+e^x)yy^'=e^x,y(0)=1	(1+e^{x})yy^{\prime\:}=e^{x},y(0)=1
derivative f(x)=3x^2-8x-sqrt(x)	derivative\:f(x)=3x^{2}-8x-\sqrt{x}
límite cuando x tiende a-3 de x^3-4x^2-7	\lim\:_{x\to\:-3}(x^{3}-4x^{2}-7)
serie de n=1 a infinity de (n-9)/(n+9)	\sum\:_{n=1}^{\infty\:}\frac{n-9}{n+9}
inverselaplace ((11s^2-2s+5))/((s-2)(2s-1)(s+1))	inverselaplace\:\frac{(11s^{2}-2s+5)}{(s-2)(2s-1)(s+1)}
laplacetransform-3t	laplacetransform\:-3t
derivada de (2x^5+3x/(x^4))	\frac{d}{dx}(\frac{2x^{5}+3x}{x^{4}})
integral de (5x^4)	\int\:(5x^{4})dx
integral de 3sqrt(x)+1/(sqrt(x))	\int\:3\sqrt{x}+\frac{1}{\sqrt{x}}dx
(df)/(ds)=12s+(5s)/(sqrt(9-s^2))	\frac{df}{ds}=12s+\frac{5s}{\sqrt{9-s^{2}}}
límite cuando x tiende a 0 de x^n	\lim\:_{x\to\:0}(x^{n})
derivative y=x^3cos(x)	derivative\:y=x^{3}\cos(x)
integral de 0 a 2 de ((x+2)/(x-4))	\int\:_{0}^{2}(\frac{x+2}{x-4})dx
integral de e^{7θ}sin(8θ)	\int\:e^{7θ}\sin(8θ)dθ
integral de 4e^{-0.1x}	\int\:4e^{-0.1x}dx
área 3sin(2x),-2pi,pi	area\:3\sin(2x),-2π,π
límite cuando x tiende a 0 de ((3arccos(1/2+x)-3arccos(1/2)))/x	\lim\:_{x\to\:0}(\frac{(3\arccos(\frac{1}{2}+x)-3\arccos(\frac{1}{2}))}{x})
derivada de e^{-x^7}	\frac{d}{dx}(e^{-x^{7}})
(ln(u))^'	(\ln(u))^{\prime\:}
partialfraction x/(1+x)	partialfraction\:\frac{x}{1+x}
integral de sin(1+x)	\int\:\sin(1+x)dx
4t(dy)/(dt)+y=t^7	4t\frac{dy}{dt}+y=t^{7}
(\partial)/(\partial x)(x^{-1/2})	\frac{\partial\:}{\partial\:x}(x^{-\frac{1}{2}})
integral de 5/(sqrt(x^2+2x+5))	\int\:\frac{5}{\sqrt{x^{2}+2x+5}}dx
tangent f(x)=9+cot(x)-2csc(x),\at x=1	tangent\:f(x)=9+\cot(x)-2\csc(x),\at\:x=1
límite cuando t tiende a 4 de t\|t-4\|	\lim\:_{t\to\:4}(t\left\|t-4\right\|)
límite cuando x tiende a 0 de x pi/2	\lim\:_{x\to\:0}(x\frac{π}{2})
derivative (2x)/(sqrt(x)-1)	derivative\:\frac{2x}{\sqrt{x}-1}
(\partial)/(\partial y)(ln(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+y^{2}))
integral de x^2+5x-6	\int\:x^{2}+5x-6dx
derivada de 2*10^{-3}x^3+10x	\frac{d}{dx}(2\cdot\:10^{-3}x^{3}+10x)
(\partial}{\partial s}(\frac{2r+s)/t)	\frac{\partial\:}{\partial\:s}(\frac{2r+s}{t})
y^'+2/x y=-2xy^2	y^{\prime\:}+\frac{2}{x}y=-2xy^{2}
tangent 3x^2+7x-4	tangent\:3x^{2}+7x-4
derivative sqrt(1-289x^2)arccos(17x)	derivative\:\sqrt{1-289x^{2}}\arccos(17x)
límite cuando h tiende a 0 de (((1/(1-(x+h)))-(1/(1-x))))/h	\lim\:_{h\to\:0}(\frac{((\frac{1}{1-(x+h)})-(\frac{1}{1-x}))}{h})
derivada de 1/((x+y))	\frac{d}{dx}(\frac{1}{(x+y)})
límite cuando x tiende a+0+de (1+x)^{(1/x)}	\lim\:_{x\to\:+0+}((1+x)^{(\frac{1}{x})})
(dy)/(dx)=1+sqrt(y-x)	\frac{dy}{dx}=1+\sqrt{y-x}
tangent 3x^2-6x-9,\at x=3	tangent\:3x^{2}-6x-9,\at\:x=3
(\partial)/(\partial y)((xy^2)/(x^2y^3+1))	\frac{\partial\:}{\partial\:y}(\frac{xy^{2}}{x^{2}y^{3}+1})
límite cuando x tiende a 1 de (x+3)/(x-2)	\lim\:_{x\to\:1}(\frac{x+3}{x-2})
área 6,0,16-2x	area\:6,0,16-2x
(dy}{dx}=\frac{xy)/3	\frac{dy}{dx}=\frac{xy}{3}
derivada de x^{-2}*ln(x)	\frac{d}{dx}(x^{-2}\cdot\:\ln(x))
integral de 0 a 1 de t^2e^t	\int\:_{0}^{1}t^{2}e^{t}dt
ty^'-y=t^2e^{-t}	ty^{\prime\:}-y=t^{2}e^{-t}
integral de (-1+x)/(x^2)	\int\:\frac{-1+x}{x^{2}}dx
(\partial)/(\partial x)(3x^2y^4-4)	\frac{\partial\:}{\partial\:x}(3x^{2}y^{4}-4)
integral de 1/(sin(x)+cos(x))	\int\:\frac{1}{\sin(x)+\cos(x)}dx
integral de-1 a 1 de 1/(2x+3)	\int\:_{-1}^{1}\frac{1}{2x+3}dx
derivada de 1/3 x^{(1/2}-x^{(3/2)})	\frac{d}{dx}(\frac{1}{3}x^{(\frac{1}{2})}-x^{(\frac{3}{2})})
tangent f(x)= 1/(sqrt(x)),\at x= 1/4	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=\frac{1}{4}
integral de (ln(t))	\int\:(\ln(t))dt
tangent 8/((x^2+4))	tangent\:\frac{8}{(x^{2}+4)}
derivada de log_{2}((x-1^3))	\frac{d}{dx}(\log_{2}((x-1)^{3}))
derivative f(x)=x*e^{-x+1}	derivative\:f(x)=x\cdot\:e^{-x+1}
tangent 4+5x^2-2x^3	tangent\:4+5x^{2}-2x^{3}
derivada de (sin(x+cos(x))/(e^x))	\frac{d}{dx}(\frac{\sin(x)+\cos(x)}{e^{x}})
límite cuando x tiende a 5-de 8-x-x^2	\lim\:_{x\to\:5-}(8-x-x^{2})
y^'=(x-2)/(y-2)	y^{\prime\:}=\frac{x-2}{y-2}
(\partial)/(\partial x)(2x^2+3y^2+5z^2)	\frac{\partial\:}{\partial\:x}(2x^{2}+3y^{2}+5z^{2})
pendiente y=(((x+2))/((x-2)^2)),\at x=3	slope\:y=(\frac{(x+2)}{(x-2)^{2}}),\at\:x=3
derivada de (x^2-3/(e^x))	\frac{d}{dx}(\frac{x^{2}-3}{e^{x}})
derivative f(x)=(x^2+5)^9	derivative\:f(x)=(x^{2}+5)^{9}
integral de t^3e^{t^2}	\int\:t^{3}e^{t^{2}}dt
implicit (dy)/(dx),15x=15y+5y^3+3y^5	implicit\:\frac{dy}{dx},15x=15y+5y^{3}+3y^{5}
y^'+y/x =5*x^3	y^{\prime\:}+\frac{y}{x}=5\cdot\:x^{3}
derivada de e^{-2x}*sin(x)	\frac{d}{dx}(e^{-2x}\cdot\:\sin(x))
integral de sqrt(1+e^{2x)}	\int\:\sqrt{1+e^{2x}}dx

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