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4y^{''}-y^'+2y=0,y(0)=2,y^'(0)=0	4y^{\prime\:\prime\:}-y^{\prime\:}+2y=0,y(0)=2,y^{\prime\:}(0)=0
límite cuando x tiende a 3 de (3-x)/(\|3-x\|)	\lim\:_{x\to\:3}(\frac{3-x}{\left\|3-x\right\|})
(\partial)/(\partial x)(3xe^{3xy})	\frac{\partial\:}{\partial\:x}(3xe^{3xy})
límite cuando x tiende a-infinity de 0^x	\lim\:_{x\to\:-\infty\:}(0^{x})
límite cuando x tiende a 0+de ln(5)sin(x)	\lim\:_{x\to\:0+}(\ln(5)\sin(x))
integral de 4 a 16 de 1/(6-sqrt(x))	\int\:_{4}^{16}\frac{1}{6-\sqrt{x}}dx
implicit (dy)/(dx),xy=8	implicit\:\frac{dy}{dx},xy=8
integral de-(e^{-st})/s	\int\:-\frac{e^{-st}}{s}dt
inversalaplace ((s+4))/((s+1)^2)	inverselaplace\:\frac{(s+4)}{(s+1)^{2}}
tangent y=(1+3x)^9,(0,1)	tangent\:y=(1+3x)^{9},(0,1)
tangent 6/(x-1)	tangent\:\frac{6}{x-1}
derivada de 2(x^3-x^4)	\frac{d}{dx}(2(x^{3}-x)^{4})
derivada de x^2-xy+y^2	\frac{d}{dx}(x^{2}-xy+y^{2})
integral de 0 a 1 de (63)/(4y-1)	\int\:_{0}^{1}\frac{63}{4y-1}dy
derivative e^x(3x^2-6x+6)	derivative\:e^{x}(3x^{2}-6x+6)
límite cuando x tiende a 0-de 7-2sqrt(x)	\lim\:_{x\to\:0-}(7-2\sqrt{x})
integral de 3x^3-5x^2+3x+4	\int\:3x^{3}-5x^{2}+3x+4dx
derivative (x+1)^{x+1}	derivative\:(x+1)^{x+1}
domínio f(θ)=e^θ	domain\:f(θ)=e^{θ}
derivada de cos(e^{4x})	\frac{d}{dx}(\cos(e^{4x}))
derivative f(x)=(7x^2-6x+1)/(3x+2)	derivative\:f(x)=\frac{7x^{2}-6x+1}{3x+2}
(d^2)/(dx^2)(3+5x+2x^2+0.4x^3)	\frac{d^{2}}{dx^{2}}(3+5x+2x^{2}+0.4x^{3})
y^{''}+9y=2sin(3x)	y^{\prime\:\prime\:}+9y=2\sin(3x)
y^'=4sqrt(x)y	y^{\prime\:}=4\sqrt{x}y
integral de (x^2-x+1)/(sqrt((x^2+1)^3))	\int\:\frac{x^{2}-x+1}{\sqrt{(x^{2}+1)^{3}}}dx
derivative 3e^x+8/(\sqrt[3]{x)}	derivative\:3e^{x}+\frac{8}{\sqrt[3]{x}}
integral de 6/(sqrt(1-x^2))	\int\:\frac{6}{\sqrt{1-x^{2}}}dx
derivada de ln(sqrt(pi))	\frac{d}{dx}(\ln(\sqrt{π}))
serie de n=1 a infinity de n^{-1/3}	\sum\:_{n=1}^{\infty\:}n^{-\frac{1}{3}}
integral de (x^3-x^2)/(x^2)	\int\:\frac{x^{3}-x^{2}}{x^{2}}dx
derivada de cos(2x^3-x)	\frac{d}{dx}(\cos(2x^{3}-x))
integral de e^{sqrt(4x)}	\int\:e^{\sqrt{4x}}dx
integral de (csc(5x))^3	\int\:(\csc(5x))^{3}dx
derivative f(x)=ln(x+2)	derivative\:f(x)=\ln(x+2)
derivada de sin((5x-3x^3/(x+1)))	\frac{d}{dx}(\sin(\frac{5x-3x^{3}}{x+1}))
taylor x^n	taylor\:x^{n}
integral de (3x^2+x+1)/(x^2-2x+5)	\int\:\frac{3x^{2}+x+1}{x^{2}-2x+5}dx
derivative arctan(2/x)	derivative\:\arctan(\frac{2}{x})
x^2y^{''}+y^'=0	x^{2}y^{\prime\:\prime\:}+y^{\prime\:}=0
integral de 0 a 1 de x^6(1+2x^7)^5	\int\:_{0}^{1}x^{6}(1+2x^{7})^{5}dx
derivative f(x)=x^4sqrt(sec(5x))	derivative\:f(x)=x^{4}\sqrt{\sec(5x)}
(\partial)/(\partial x)(sin(x^2)y)	\frac{\partial\:}{\partial\:x}(\sin(x^{2})y)
integral de 2 a infinity de e^{-5x}	\int\:_{2}^{\infty\:}e^{-5x}dx
integral de 7ln(x^2-x+2)	\int\:7\ln(x^{2}-x+2)dx
derivada de 2x^2+cos^2(x)	\frac{d}{dx}(2x^{2}+\cos^{2}(x))
derivada de cos((3x^2/(x+2)))	\frac{d}{dx}(\cos(\frac{3x^{2}}{x+2}))
límite cuando x tiende a 2 de [7f(x)+g(x)]	\lim\:_{x\to\:2}([7f(x)+g(x)])
implicit (dy)/(dx),xy=56	implicit\:\frac{dy}{dx},xy=56
(\partial)/(\partial x)(sin(pi(x-4y)))	\frac{\partial\:}{\partial\:x}(\sin(π(x-4y)))
integral de (6x^2-4x+3)	\int\:(6x^{2}-4x+3)dx
(\partial)/(\partial x)(ln(x^{10}y))	\frac{\partial\:}{\partial\:x}(\ln(x^{10}y))
derivative f(x)=x^2-2x+2	derivative\:f(x)=x^{2}-2x+2
derivative (sqrt(1-x))/2	derivative\:\frac{\sqrt{1-x}}{2}
(xsqrt(1+y^2))dx-x^2dy=0	(x\sqrt{1+y^{2}})dx-x^{2}dy=0
integral de 4/((x^2)(x^2+4))	\int\:\frac{4}{(x^{2})(x^{2}+4)}dx
área 2x^2,8x^2,5-3x	area\:2x^{2},8x^{2},5-3x
(\partial)/(\partial x)(4x^2y+7xy^3)	\frac{\partial\:}{\partial\:x}(4x^{2}y+7xy^{3})
derivative f(x)=(3x-2)(4x^3-x^2+1)	derivative\:f(x)=(3x-2)(4x^{3}-x^{2}+1)
derivada de 6xe^{x^2}	\frac{d}{dx}(6xe^{x^{2}})
límite cuando x tiende a 2 de x^2-6x+3	\lim\:_{x\to\:2}(x^{2}-6x+3)
derivada de 1/(1+e^{0.5x})	\frac{d}{dx}(\frac{1}{1+e^{0.5x}})
serie de n=1 a infinity de ne^{-6n}	\sum\:_{n=1}^{\infty\:}ne^{-6n}
(d^2)/(dz^2)(z^2e^z)	\frac{d^{2}}{dz^{2}}(z^{2}e^{z})
integral de (sqrt(x^2+1))	\int\:(\sqrt{x^{2}+1})dx
(d^2)/(dx^2)(6x^2+5x)	\frac{d^{2}}{dx^{2}}(6x^{2}+5x)
(t+1)dt-1/(y^2)dy=0	(t+1)dt-\frac{1}{y^{2}}dy=0
integral de (2w-5)/(w^2-3w+9/2)	\int\:\frac{2w-5}{w^{2}-3w+\frac{9}{2}}dx
área 2x+y^2=8,x=y	area\:2x+y^{2}=8,x=y
(\partial)/(\partial x)(6xy-2y^2)	\frac{\partial\:}{\partial\:x}(6xy-2y^{2})
derivada de 4/(7x^2)	\frac{d}{dx}(\frac{4}{7x^{2}})
integral de (x+7)/(x^2+3x+2)	\int\:\frac{x+7}{x^{2}+3x+2}dx
derivative y= 1/(x-2)	derivative\:y=\frac{1}{x-2}
implicit (dy)/(dx),e^{(9xy)}=10x	implicit\:\frac{dy}{dx},e^{(9xy)}=10x
integral de 1/2 cos(2x)	\int\:\frac{1}{2}\cos(2x)dx
e^y(dy)/(dx)=2x	e^{y}\frac{dy}{dx}=2x
integral de 20y	\int\:20ydy
derivada de ln(arcsin(2x))	\frac{d}{dx}(\ln(\arcsin(2x)))
derivada de (tan(x)/(cos(x)))	\frac{d}{dx}(\frac{\tan(x)}{\cos(x)})
integral de x^2cos((x^3)/5)	\int\:x^{2}\cos(\frac{x^{3}}{5})dx
derivada de 3sec^2(3x)	\frac{d}{dx}(3\sec^{2}(3x))
derivative x/(x^2+1)	derivative\:\frac{x}{x^{2}+1}
integral de (5+cot^2(x))	\int\:(5+\cot^{2}(x))dx
inversalaplace s/(s^2+2s)	inverselaplace\:\frac{s}{s^{2}+2s}
límite cuando x tiende a infinity de 5+3/x	\lim\:_{x\to\:\infty\:}(5+\frac{3}{x})
integral de \sqrt[3]{3-4x^2}(-8x)	\int\:\sqrt[3]{3-4x^{2}}(-8x)dx
integral de 15tan^2(xse)c^3x	\int\:15\tan^{2}(xse)c^{3}x
derivada de xsin(x/2)	\frac{d}{dx}(x\sin(\frac{x}{2}))
serie de n=0 a infinity de n*sin(1/n)	\sum\:_{n=0}^{\infty\:}n\cdot\:\sin(\frac{1}{n})
(\partial)/(\partial x)(sec^2(xy))	\frac{\partial\:}{\partial\:x}(\sec^{2}(xy))
serie de n=1 a infinity de 3/(pi^n)	\sum\:_{n=1}^{\infty\:}\frac{3}{π^{n}}
derivative x^{1/3}-x^{-2/3}	derivative\:x^{\frac{1}{3}}-x^{-\frac{2}{3}}
límite cuando x tiende a+0 de 2x^2cos(5/x)	\lim\:_{x\to\:+0}(2x^{2}\cos(\frac{5}{x}))
(\partial)/(\partial x)(e^x-2-cos(xy))	\frac{\partial\:}{\partial\:x}(e^{x}-2-\cos(xy))
derivada de 3/(5+x)	\frac{d}{dx}(\frac{3}{5+x})
integral de 1/(sqrt(x)+4)	\int\:\frac{1}{\sqrt{x}+4}dx
y^'=(2cos(y))/(sin(y))	y^{\prime\:}=\frac{2\cos(y)}{\sin(y)}
derivada de (4x^2-x/(x^2+2))	\frac{d}{dx}(\frac{4x^{2}-x}{x^{2}+2})
derivative (6x^2+2x+2)/(sqrt(x))	derivative\:\frac{6x^{2}+2x+2}{\sqrt{x}}
límite cuando x tiende a 0-de (x-1)/x	\lim\:_{x\to\:0-}(\frac{x-1}{x})
integral de (cos(2x))/(1+sin^2(2x))	\int\:\frac{\cos(2x)}{1+\sin^{2}(2x)}dx

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