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y^{''}+49y=3tan(7x)	y^{\prime\:\prime\:}+49y=3\tan(7x)
tangent f(x)=sqrt(2x+7),\at x=9	tangent\:f(x)=\sqrt{2x+7},\at\:x=9
integral de (4x-11)/(x^2-3x-4)	\int\:\frac{4x-11}{x^{2}-3x-4}dx
derivada de e^xcos(3x)	\frac{d}{dx}(e^{x}\cos(3x))
límite cuando x tiende a 5-de (x-6)/(x-5)	\lim\:_{x\to\:5-}(\frac{x-6}{x-5})
maclaurin e^{-5x}	maclaurin\:e^{-5x}
3y^'-6y=12	3y^{\prime\:}-6y=12
t(d^2y)/(dt^2)+4(dy)/(dt)=t^2	t\frac{d^{2}y}{dt^{2}}+4\frac{dy}{dt}=t^{2}
tangent y=-3/2 x^2+9x+9,(-1,-3/2)	tangent\:y=-\frac{3}{2}x^{2}+9x+9,(-1,-\frac{3}{2})
integral de sqrt(7-x^2)	\int\:\sqrt{7-x^{2}}dx
límite cuando x tiende a-2 de (2x)/(2x+2)	\lim\:_{x\to\:-2}(\frac{2x}{2x+2})
derivada de (1+(1+(1+x^3^4)^5)^6)	\frac{d}{dx}((1+(1+(1+x^{3})^{4})^{5})^{6})
2tx^{''}-x^'+(1/(x^'))=0	2tx^{\prime\:\prime\:}-x^{\prime\:}+(\frac{1}{x^{\prime\:}})=0
integral de 5xsin(x)cos(x)	\int\:5x\sin(x)\cos(x)dx
d/(dθ)({r}(θ)cos(θ))	\frac{d}{dθ}({r}(θ)\cos(θ))
integral de x^{-2}(4x^{-1}+3)^{3/4}	\int\:x^{-2}(4x^{-1}+3)^{\frac{3}{4}}dx
10^'	10^{\prime\:}
2xy^2+x^2(dy)/(dx)=y^2	2xy^{2}+x^{2}\frac{dy}{dx}=y^{2}
integral de (x^2)/((x-1)(x^2-1))	\int\:\frac{x^{2}}{(x-1)(x^{2}-1)}dx
(\partial)/(\partial z)(sqrt(x^2+y^2)-z)	\frac{\partial\:}{\partial\:z}(\sqrt{x^{2}+y^{2}}-z)
integral de sin(x)sin(6x)	\int\:\sin(x)\sin(6x)dx
derivative 1/(3x^{2/3)}	derivative\:\frac{1}{3x^{\frac{2}{3}}}
derivada de (sqrt(x)+1/(sqrt(x)+2))	\frac{d}{dx}(\frac{\sqrt{x}+1}{\sqrt{x}+2})
integral de-32 a 8 de 1/(sqrt(\|2x\|))	\int\:_{-32}^{8}\frac{1}{\sqrt{\left\|2x\right\|}}dx
derivative 63cos(7x)	derivative\:63\cos(7x)
área 1/4 x^2-1,y=8,y=2	area\:\frac{1}{4}x^{2}-1,y=8,y=2
serie de n=4 a infinity de 3-0.5^n	\sum\:_{n=4}^{\infty\:}3-0.5^{n}
y^'= x/(1+2y)	y^{\prime\:}=\frac{x}{1+2y}
integral de (20)/((x-4)(x^2+4))	\int\:\frac{20}{(x-4)(x^{2}+4)}dx
taylor sin(x),(3pi)/2	taylor\:\sin(x),\frac{3π}{2}
derivada de 100x-x^2	\frac{d}{dx}(100x-x^{2})
serie de n=1 a infinity de 3ne^{-n^2}	\sum\:_{n=1}^{\infty\:}3ne^{-n^{2}}
integral de (1+sqrt(9-x^2))	\int\:(1+\sqrt{9-x^{2}})dx
derivada de 4x^3-6x	\frac{d}{dx}(4x^{3}-6x)
laplacetransform 3-e^{2t}	laplacetransform\:3-e^{2t}
derivative f(x)=(5x+1)/(x-1)	derivative\:f(x)=\frac{5x+1}{x-1}
área y=x^2-4,y=8-2x^2	area\:y=x^{2}-4,y=8-2x^{2}
(\partial)/(\partial y)(-3e^xcos(yz))	\frac{\partial\:}{\partial\:y}(-3e^{x}\cos(yz))
(dy)/(dx)=(2+y)/(x+1)	\frac{dy}{dx}=\frac{2+y}{x+1}
tangent f(x)=5x^2-x^3,(1,4)	tangent\:f(x)=5x^{2}-x^{3},(1,4)
f^'(x)=tan(x)	f^{\prime\:}(x)=\tan(x)
integral de (4x^2-19x-27)/((x+1)^2(x-3))	\int\:\frac{4x^{2}-19x-27}{(x+1)^{2}(x-3)}dx
derivative log_{4}(x)	derivative\:\log_{4}(x)
derivative f(x)=3x-2	derivative\:f(x)=3x-2
integral de 0 a pi de x^2sin(nx)	\int\:_{0}^{π}x^{2}\sin(nx)dx
integral de 6x^5e^{6x^6}	\int\:6x^{5}e^{6x^{6}}dx
integral de 6x+7	\int\:6x+7dx
integral de e^{3x}+2	\int\:e^{3x}+2dx
(\partial)/(\partial z)(x^2+y^2-z^2)	\frac{\partial\:}{\partial\:z}(x^{2}+y^{2}-z^{2})
integral de 1 a 7 de 5/(x^2)	\int\:_{1}^{7}\frac{5}{x^{2}}dx
integral de xln(2)+3/(2x)	\int\:x\ln(2)+\frac{3}{2x}dx
integral de 1/(sqrt(cos(x)-cos^2(x)))	\int\:\frac{1}{\sqrt{\cos(x)-\cos^{2}(x)}}dx
(\partial)/(\partial y)(-6xy-x^6-y^6)	\frac{\partial\:}{\partial\:y}(-6xy-x^{6}-y^{6})
derivative ((4x+3)^8)/((x)^4)	derivative\:\frac{(4x+3)^{8}}{(x)^{4}}
límite cuando x tiende a 0 de 6/(1+x)	\lim\:_{x\to\:0}(\frac{6}{1+x})
(\partial)/(\partial x)(e^{5x+3y})	\frac{\partial\:}{\partial\:x}(e^{5x+3y})
d/(dy)(1/t+1/(t^2)-y/(t^2+y^2))	\frac{d}{dy}(\frac{1}{t}+\frac{1}{t^{2}}-\frac{y}{t^{2}+y^{2}})
derivative f(x)=1-1/(x^2)	derivative\:f(x)=1-\frac{1}{x^{2}}
integral de xcos(y)	\int\:x\cos(y)dy
tangent x^2+y^2=169,(5,12)	tangent\:x^{2}+y^{2}=169,(5,12)
límite cuando x tiende a 1 de 2-5/((x-1)^2)	\lim\:_{x\to\:1}(2-\frac{5}{(x-1)^{2}})
derivative x(5x+3)^{1/3}	derivative\:x(5x+3)^{\frac{1}{3}}
integral de 8(x+1)In(x+1)	\int\:8(x+1)In(x+1)dx
serie de n=0 a infinity de z^{3n}	\sum\:_{n=0}^{\infty\:}z^{3n}
límite cuando x tiende a infinity de (a_{n+1})/(a_{n)}	\lim\:_{x\to\:\infty\:}(\frac{a_{n+1}}{a_{n}})
(dr)/(dt)= 1/(t+1),r(0)=1	\frac{dr}{dt}=\frac{1}{t+1},r(0)=1
(1+x^2)y^'+1+2xy=0	(1+x^{2})y^{\prime\:}+1+2xy=0
integral de x^2(3-e^{x^3})	\int\:x^{2}(3-e^{x^{3}})dx
límite cuando x tiende a infinity de e^{-2/(sqrt(x))}	\lim\:_{x\to\:\infty\:}(e^{-\frac{2}{\sqrt{x}}})
inverselaplace 2/s	inverselaplace\:\frac{2}{s}
integral de 1 a 2 de 0	\int\:_{1}^{2}0dx
integral de-infinity a-1 de x^{-11/5}	\int\:_{-\infty\:}^{-1}x^{-\frac{11}{5}}dx
integral de e^{3x}	\int\:e^{3x}dx
derivada de 3/(1+x^2)	\frac{d}{dx}(\frac{3}{1+x^{2}})
límite cuando x tiende a 0 de (1-1x)^{1/x}	\lim\:_{x\to\:0}((1-1x)^{\frac{1}{x}})
derivative x/(3sqrt(x^2+4))-1/4	derivative\:\frac{x}{3\sqrt{x^{2}+4}}-\frac{1}{4}
integral de (4x^2-8x)/((x-1)^2(x^2+1)^2)	\int\:\frac{4x^{2}-8x}{(x-1)^{2}(x^{2}+1)^{2}}dx
integral de sin(x)(1-cos(x))	\int\:\sin(x)(1-\cos(x))dx
derivada de (x^2-6x/(1+cos(x)))	\frac{d}{dx}(\frac{x^{2}-6x}{1+\cos(x)})
integral de 1/(x^2+4x+25)	\int\:\frac{1}{x^{2}+4x+25}dx
integral de xsqrt(4-x)	\int\:x\sqrt{4-x}dx
integral de 0 a 1 de 2y^2	\int\:_{0}^{1}2y^{2}dy
paridad ln(e^{-x}+xe^{-x})	parity\:\ln(e^{-x}+xe^{-x})
derivada de (5x/(x-3))	\frac{d}{dx}(\frac{5x}{x-3})
derivative y=-e^{-t}	derivative\:y=-e^{-t}
integral de ((x^2+2))/(x^4+4)	\int\:\frac{(x^{2}+2)}{x^{4}+4}dx
derivada de x(x^2+1^{-1/2})	\frac{d}{dx}(x(x^{2}+1)^{-\frac{1}{2}})
integral de (7x^2+5x-6)/((x^2-4)(x+2))	\int\:\frac{7x^{2}+5x-6}{(x^{2}-4)(x+2)}dx
f(x)=x^{4x}	f(x)=x^{4x}
límite cuando x tiende a 1 de-6xsin(3x^2+1)	\lim\:_{x\to\:1}(-6x\sin(3x^{2}+1))
derivative f(x)=(4x)/(x+2)	derivative\:f(x)=\frac{4x}{x+2}
(\partial)/(\partial x)(2x^2e^{xy^2})	\frac{\partial\:}{\partial\:x}(2x^{2}e^{xy^{2}})
derivative y=log_{2}(5x)	derivative\:y=\log_{2}(5x)
taylor ln(x/2)2	taylor\:\ln(\frac{x}{2})2
integral de-1 a 1 de c(1-x^2)	\int\:_{-1}^{1}c(1-x^{2})dx
integral de (2x^2+3)/(x(x-1)^3)	\int\:\frac{2x^{2}+3}{x(x-1)^{3}}dx
(dy)/(dx)=(2y)/(x+1)	\frac{dy}{dx}=\frac{2y}{x+1}
límite cuando x tiende a 1 de x+4	\lim\:_{x\to\:1}(x+4)
serie de n=1 a infinity de n/((5^n))	\sum\:_{n=1}^{\infty\:}\frac{n}{(5^{n})}
derivada de (4x^2+1^{-50})	\frac{d}{dx}((4x^{2}+1)^{-50})

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