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integral de (pix^4)/(16)	\int\:\frac{πx^{4}}{16}dx
y^'+1/x y=-1/x y^2,y(1)=2	y^{\prime\:}+\frac{1}{x}y=-\frac{1}{x}y^{2},y(1)=2
derivada de log_{5}(4/(x^2sqrt(1-x)))	\frac{d}{dx}(\log_{5}(\frac{4}{x^{2}\sqrt{1-x}}))
integral de-4x^2e^{-3x}	\int\:-4x^{2}e^{-3x}dx
límite cuando x tiende a 1 de (f(x))x^2-2x	\lim\:_{x\to\:1}((f(x))x^{2}-2x)
límite cuando h tiende a 0 de h^2+5^h	\lim\:_{h\to\:0}(h^{2}+5^{h})
integral de e^{-7x}	\int\:e^{-7x}dx
límite cuando x tiende a infinity de 1+3/x	\lim\:_{x\to\:\infty\:}(1+\frac{3}{x})
área 6x^2,x^2+2	area\:6x^{2},x^{2}+2
serie de n=2 a infinity de (1/3)^n	\sum\:_{n=2}^{\infty\:}(\frac{1}{3})^{n}
derivada de 5x^4-2x^3-3x+2	\frac{d}{dx}(5x^{4}-2x^{3}-3x+2)
y^{''}+8y^'+7y=0	y^{\prime\:\prime\:}+8y^{\prime\:}+7y=0
integral de sin(x)cos(x)sqrt(1-sin^4(x))	\int\:\sin(x)\cos(x)\sqrt{1-\sin^{4}(x)}dx
(\partial)/(\partial x)((3y)*(2x)^{-1})	\frac{\partial\:}{\partial\:x}((3y)\cdot\:(2x)^{-1})
paridad f(x)=sin(tan(2x))	parity\:f(x)=\sin(\tan(2x))
derivative 2(2x^5-3x+2)^8	derivative\:2(2x^{5}-3x+2)^{8}
integral de 3xy	\int\:3xy
integral de 1/((2-x)sqrt(1-x))	\int\:\frac{1}{(2-x)\sqrt{1-x}}dx
integral de (t+7)e^{2t+3}	\int\:(t+7)e^{2t+3}dt
derivada de sqrt(5)x+sqrt(6x)	\frac{d}{dx}(\sqrt{5}x+\sqrt{6x})
área y^2-7x=1,x-y=1	area\:y^{2}-7x=1,x-y=1
integral de 6e^5	\int\:6e^{5}dx
derivada de (x-1(x^2+x+1))	\frac{d}{dx}((x-1)(x^{2}+x+1))
derivada de-2ln(-x)	\frac{d}{dx}(-2\ln(-x))
taylor (sin(x))/x	taylor\:\frac{\sin(x)}{x}
límite cuando x tiende a-6-de x^2+6	\lim\:_{x\to\:-6-}(x^{2}+6)
derivada de sqrt(7)x+sqrt(2x)	\frac{d}{dx}(\sqrt{7}x+\sqrt{2x})
derivada de 1+cos(6x)	\frac{d}{dx}(1+\cos(6x))
(x^2-1)y^'=xyln(y)	(x^{2}-1)y^{\prime\:}=xy\ln(y)
integral de 1 a infinity de x^{-4/3}	\int\:_{1}^{\infty\:}x^{-\frac{4}{3}}dx
(\partial)/(\partial x)(e^{-x^2-2y^2})	\frac{\partial\:}{\partial\:x}(e^{-x^{2}-2y^{2}})
integral de 8sec(x)(sec(x)-4tan(x))	\int\:8\sec(x)(\sec(x)-4\tan(x))dx
y^{''}+8y^'+4y=t	y^{\prime\:\prime\:}+8y^{\prime\:}+4y=t
(\partial)/(\partial y)(sin(z))	\frac{\partial\:}{\partial\:y}(\sin(z))
área 4sqrt(x+9),sqrt(144-x),-9,144	area\:4\sqrt{x+9},\sqrt{144-x},-9,144
derivative 2/(x^3)-8/x	derivative\:\frac{2}{x^{3}}-\frac{8}{x}
derivative y=((f(x))/(g(x)))^2	derivative\:y=(\frac{f(x)}{g(x)})^{2}
integral de x^4e^{2x}	\int\:x^{4}e^{2x}dx
integral de (2x+1)/((3x-1)(x^2+2x+2))	\int\:\frac{2x+1}{(3x-1)(x^{2}+2x+2)}dx
(\partial)/(\partial x)(4-2*(3x-y)^2)	\frac{\partial\:}{\partial\:x}(4-2\cdot\:(3x-y)^{2})
pendiente y=-(-6x+6)^{1/2},x=-5	slope\:y=-(-6x+6)^{\frac{1}{2}},x=-5
d/(dv)(ae^v+b/v+c/(v^2))	\frac{d}{dv}(ae^{v}+\frac{b}{v}+\frac{c}{v^{2}})
xy^'-2y+y^2=0	xy^{\prime\:}-2y+y^{2}=0
y^{''}+2ky^'+k^4y=0	y^{\prime\:\prime\:}+2ky^{\prime\:}+k^{4}y=0
pendiente (9,12),(-2,-17)	slope\:(9,12),(-2,-17)
integral de (x^2)/((x+1)(x+2)^2)	\int\:\frac{x^{2}}{(x+1)(x+2)^{2}}dx
integral de x^2e^{xy}	\int\:x^{2}e^{xy}dy
integral de e^{(-x)/3}	\int\:e^{\frac{-x}{3}}dx
integral de-2 a 3 de (27)/(x^4)	\int\:_{-2}^{3}\frac{27}{x^{4}}dx
xy^2y^'=y^3-1x^3	xy^{2}y^{\prime\:}=y^{3}-1x^{3}
(\partial)/(\partial y)((-x)/((x+y)^2))	\frac{\partial\:}{\partial\:y}(\frac{-x}{(x+y)^{2}})
integral de 0 a 1 de xsqrt(8-x^2)	\int\:_{0}^{1}x\sqrt{8-x^{2}}dx
(1+ln(x)+y/x)dx=(7-ln(x))dy	(1+\ln(x)+\frac{y}{x})dx=(7-\ln(x))dy
límite cuando x tiende a-7 de sqrt(1/(x+7))	\lim\:_{x\to\:-7}(\sqrt{\frac{1}{x+7}})
laplacetransform [t]	laplacetransform\:[t]
derivada de ln(e^{6x})	\frac{d}{dx}(\ln(e^{6x}))
integral de (1/(sqrt(9-x^2)))	\int\:(\frac{1}{\sqrt{9-x^{2}}})dx
f^{''}(x)=(7+6x)^{e^{-5x}}	f^{\prime\:\prime\:}(x)=(7+6x)^{e^{-5x}}
integral de sqrt(x)(3-5x)	\int\:\sqrt{x}(3-5x)dx
derivada de cos^3(e^{-x})	\frac{d}{dx}(\cos^{3}(e^{-x}))
integral de cos((mpix)/3)	\int\:\cos(\frac{mπx}{3})dx
(\partial)/(\partial y)(2ycos(x))	\frac{\partial\:}{\partial\:y}(2y\cos(x))
y^{''}+2y^'+2y=sin(sqrt(2)x)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(\sqrt{2}x)
límite cuando x tiende a 0+de e^{-5/x}	\lim\:_{x\to\:0+}(e^{-\frac{5}{x}})
integral de 1/(sqrt(-x^2+14x+50))	\int\:\frac{1}{\sqrt{-x^{2}+14x+50}}dx
derivative sqrt(1+sin^2(e^{5x))}	derivative\:\sqrt{1+\sin^{2}(e^{5x})}
derivada de ln(x+sqrt(x^2+3))	\frac{d}{dx}(\ln(x+\sqrt{x^{2}+3}))
2x(1+y)dx-ydy=0	2x(1+y)dx-ydy=0
derivative x^8ln(x)	derivative\:x^{8}\ln(x)
f(x)=e^{3sqrt(x)}	f(x)=e^{3\sqrt{x}}
f(x)=3^{xln(x)}	f(x)=3^{x\ln(x)}
laplacetransform e^{4t}sin(2t)	laplacetransform\:e^{4t}\sin(2t)
d/(dy)(y/(t^2+y^2))	\frac{d}{dy}(\frac{y}{t^{2}+y^{2}})
(dr)/(dt)+2tr-r=0,r(0)=6	\frac{dr}{dt}+2tr-r=0,r(0)=6
(\partial)/(\partial y)(sin(3x-4y))	\frac{\partial\:}{\partial\:y}(\sin(3x-4y))
integral de 1/(x^2+5)	\int\:\frac{1}{x^{2}+5}dx
límite cuando x tiende a 2 de (-2)/(x(x-2))	\lim\:_{x\to\:2}(\frac{-2}{x(x-2)})
derivative f(x)=(e^x)/(4x+1)	derivative\:f(x)=\frac{e^{x}}{4x+1}
integral de (3x^2+2)/((x^3+2x)^2)	\int\:\frac{3x^{2}+2}{(x^{3}+2x)^{2}}dx
tangent y=(2x)/(x+1),(1,1)	tangent\:y=\frac{2x}{x+1},(1,1)
derivada de (5x/(x+1))	\frac{d}{dx}(\frac{5x}{x+1})
límite cuando x tiende a+(-1) de (sin(x))/x	\lim\:_{x\to\:+(-1)}(\frac{\sin(x)}{x})
(dy)/(dx)=y^3	\frac{dy}{dx}=y^{3}
tangent f(x)= x/(9-sqrt(x))	tangent\:f(x)=\frac{x}{9-\sqrt{x}}
serie de n=1 a infinity de (-1/3)^{n-1}	\sum\:_{n=1}^{\infty\:}(-\frac{1}{3})^{n-1}
tangent x^3sqrt(x^3+3)	tangent\:x^{3}\sqrt{x^{3}+3}
integral de 1 a infinity de x/(4+x^2)	\int\:_{1}^{\infty\:}\frac{x}{4+x^{2}}dx
(\partial)/(\partial x)(ln(y-2x))	\frac{\partial\:}{\partial\:x}(\ln(y-2x))
(x+y)^2dx+(2xy+x^2-1)dy=0	(x+y)^{2}dx+(2xy+x^{2}-1)dy=0
derivative f(x)=2^{50}	derivative\:f(x)=2^{50}
integral de x(1-x)^7	\int\:x(1-x)^{7}dx
tangent f(x)=3x^3+3x^2-11x-1	tangent\:f(x)=3x^{3}+3x^{2}-11x-1
y^{''}+9y=3csc^2(3t)	y^{\prime\:\prime\:}+9y=3\csc^{2}(3t)
integral de sinh(2x)	\int\:\sinh(2x)dx
derivative 2x^{1/5}(x^3-8)	derivative\:2x^{\frac{1}{5}}(x^{3}-8)
límite cuando x tiende a 0 de x/(cos(x))	\lim\:_{x\to\:0}(\frac{x}{\cos(x)})
integral de t^2+tsqrt(t-1)+tsin(pi)t	\int\:t^{2}+t\sqrt{t-1}+t\sin(π)tdt
integral de-1 a 2 de (x^2-4x+3)	\int\:_{-1}^{2}(x^{2}-4x+3)dx
derivada de 1/2 x+3	\frac{d}{dx}(\frac{1}{2}x+3)
integral de e^{2x}-1/2 e^{x/2}	\int\:e^{2x}-\frac{1}{2}e^{\frac{x}{2}}dx

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