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3(1+x^2)(dy)/(dx)=2xy(y^3-1)	3(1+x^{2})\frac{dy}{dx}=2xy(y^{3}-1)
inverselaplace e^{-2s}*1/(s-3)	inverselaplace\:e^{-2s}\cdot\:\frac{1}{s-3}
integral de 1/((x^2-25)^{1/2)}	\int\:\frac{1}{(x^{2}-25)^{\frac{1}{2}}}dx
tangent f(x)=-x^3,\at x=2	tangent\:f(x)=-x^{3},\at\:x=2
límite cuando x tiende a 0 de 2xe^{2x}+kx	\lim\:_{x\to\:0}(2xe^{2x}+kx)
y^'=3x+y,y(0)=6	y^{\prime\:}=3x+y,y(0)=6
paridad y=ln(e^{-x}+xe^{-x})	parity\:y=\ln(e^{-x}+xe^{-x})
(\partial)/(\partial x)(-(cx)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(-\frac{cx}{x^{2}+y^{2}})
integral de 1 a 3 de 1/(4+(x-1)^2)	\int\:_{1}^{3}\frac{1}{4+(x-1)^{2}}dx
integral de 24xy^2+3ye^{xy}	\int\:24xy^{2}+3ye^{xy}dx
(dy)/(dx)=e^{(6x-3y)},y(0)=3	\frac{dy}{dx}=e^{(6x-3y)},y(0)=3
integral de (2-e^x)^2	\int\:(2-e^{x})^{2}dx
derivative f(x)=x^2(1-5x)	derivative\:f(x)=x^{2}(1-5x)
integral de (30)/((225x^2+1)^2)	\int\:\frac{30}{(225x^{2}+1)^{2}}dx
derivative (10)/((1+e^{-x))}	derivative\:\frac{10}{(1+e^{-x})}
(\partial)/(\partial x)(e^{2/x})	\frac{\partial\:}{\partial\:x}(e^{\frac{2}{x}})
integral de 3 a infinity de 1	\int\:_{3}^{\infty\:}1
integral de (2x-7)^5	\int\:(2x-7)^{5}dx
y^{''}-4y^'-12y=sin(2*t)	y^{\prime\:\prime\:}-4\cdot\:y^{\prime\:}-12\cdot\:y=\sin(2\cdot\:t)
integral de t+2 a t+4 de 3	\int\:_{t+2}^{t+4}3dx
pendiente y=(4x+1)^2,(0,1)	slope\:y=(4x+1)^{2},(0,1)
derivative f(-8)=6(1-x)	derivative\:f(-8)=6(1-x)
límite cuando x tiende a 1-de (x-2)/(x-1)	\lim\:_{x\to\:1-}(\frac{x-2}{x-1})
derivada de ln((x-1/(sqrt(x+2))))	\frac{d}{dx}(\ln(\frac{x-1}{\sqrt{x+2}}))
integral de-3 a 5 de 4	\int\:_{-3}^{5}4dx
derivative f(x)=4^{sin(2)(x)+cos(3x)}	derivative\:f(x)=4^{\sin(2)(x)+\cos(3x)}
derivada de (x^2/(x-5))	\frac{d}{dx}(\frac{x^{2}}{x-5})
integral de (1-tan(x))/(1+tan(x))	\int\:\frac{1-\tan(x)}{1+\tan(x)}dx
límite cuando x tiende a 0 de ((x^3))/(x^3)	\lim\:_{x\to\:0}(\frac{(x^{3})}{x^{3}})
derivative (f(x))/(x^6)	derivative\:\frac{f(x)}{x^{6}}
derivative f(x)= t/(1+t)	derivative\:f(x)=\frac{t}{1+t}
límite cuando x tiende a 0+de 3x	\lim\:_{x\to\:0+}(3x)
límite cuando x tiende a 1 de 1/x-1/(x-1)	\lim\:_{x\to\:1}(\frac{1}{x}-\frac{1}{x-1})
integral de (x+12)/(3x^2+7x+2)	\int\:\frac{x+12}{3x^{2}+7x+2}dx
límite cuando x tiende a 2 de 250/0	\lim\:_{x\to\:2}(\frac{250}{0})
integral de 4x^2	\int\:4x^{2}dx
serie de n=1 a infinity de 1/(2n(n+1))	\sum\:_{n=1}^{\infty\:}\frac{1}{2n(n+1)}
derivada de (sin(5x)/(e^{3x)})	\frac{d}{dx}(\frac{\sin(5x)}{e^{3x}})
área y=x^2,y=6-x	area\:y=x^{2},y=6-x
derivada de ln(e^x-1)	\frac{d}{dx}(\ln(e^{x}-1))
tangent f(x)= 1/(sqrt(x)),\at x=a	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=a
d/(dp)((p-1)/(p^2+4))	\frac{d}{dp}(\frac{p-1}{p^{2}+4})
integral de (e^x)/(sqrt(1+e^x+e^{2x))}	\int\:\frac{e^{x}}{\sqrt{1+e^{x}+e^{2x}}}dx
integral de 6x-7	\int\:6x-7dx
(\partial)/(\partial x)(-e^{-o}*cos(o))	\frac{\partial\:}{\partial\:x}(-e^{-o}\cdot\:\cos(o))
(\partial)/(\partial y)(ln(x-3y))	\frac{\partial\:}{\partial\:y}(\ln(x-3y))
derivative-1/(9x^{10/9)}	derivative\:-\frac{1}{9x^{\frac{10}{9}}}
derivative 3x(x^4+5)^5	derivative\:3x(x^{4}+5)^{5}
integral de cos^4(x)*sin^2(x)	\int\:\cos^{4}(x)\cdot\:\sin^{2}(x)dx
derivative 3sin(x)+2cos(x)	derivative\:3\sin(x)+2\cos(x)
(\partial)/(\partial x)(x^2-y^2+xy)	\frac{\partial\:}{\partial\:x}(x^{2}-y^{2}+xy)
integral de 2/3 (x-1)^{3/2}	\int\:\frac{2}{3}(x-1)^{\frac{3}{2}}dx
(\partial)/(\partial x)(x^2cos(4y))	\frac{\partial\:}{\partial\:x}(x^{2}\cos(4y))
derivada de sin(5x+sin^2(5x))	\frac{d}{dx}(\sin(5x)+\sin^{2}(5x))
integral de csc^2(θ)+3	\int\:\csc^{2}(θ)+3dθ
integral de sqrt(4-9x)	\int\:\sqrt{4-9x}dx
integral de-infinity a 1 de 1/(x^2+1)	\int\:_{-\infty\:}^{1}\frac{1}{x^{2}+1}dx
integral de 2x(x^2-1)^{97}	\int\:2x(x^{2}-1)^{97}dx
derivada de tan^x(x)	\frac{d}{dx}(\tan^{x}(x))
derivative sin(pi/x)	derivative\:\sin(\frac{π}{x})
12yy^'-7e^x=0	12yy^{\prime\:}-7e^{x}=0
(\partial)/(\partial x)((sin(x))^2)	\frac{\partial\:}{\partial\:x}((\sin(x))^{2})
integral de 1/((x+4)(x-1))	\int\:\frac{1}{(x+4)(x-1)}dx
área y=e^x,y=e^{-3x},x=ln(5)	area\:y=e^{x},y=e^{-3x},x=\ln(5)
integral de sqrt(x^2+2x+5)	\int\:\sqrt{x^{2}+2x+5}dx
tangent f(x)=x^2+8,(4,24)	tangent\:f(x)=x^{2}+8,(4,24)
derivada de (3-2x/(3+2x))	\frac{d}{dx}(\frac{3-2x}{3+2x})
integral de x^4sin(3x)	\int\:x^{4}\sin(3x)dx
integral de-(x^2+2)e^x	\int\:-(x^{2}+2)e^{x}dx
(\partial)/(\partial x)(3^{2y})	\frac{\partial\:}{\partial\:x}(3^{2y})
derivative f(x)=2^{70}	derivative\:f(x)=2^{70}
integral de (x^5-3x^2+4)/(sqrt(x))	\int\:\frac{x^{5}-3x^{2}+4}{\sqrt{x}}dx
derivada de-x/(sqrt(9-x^2))	\frac{d}{dx}(-\frac{x}{\sqrt{9-x^{2}}})
integral de 11	\int\:11dx
integral de (4x)/(2x-1)	\int\:\frac{4x}{2x-1}dx
integral de sin(14x)cos(11x)	\int\:\sin(14x)\cos(11x)dx
(\partial)/(\partial x)(sqrt(x^2+2*y^4))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+2\cdot\:y^{4}})
integral de sin(x-y)	\int\:\sin(x-y)dx
área y=4x,y= 3/2 x,y=45-x^2	area\:y=4x,y=\frac{3}{2}x,y=45-x^{2}
derivada de 3x^3ln(x)	\frac{d}{dx}(3x^{3}\ln(x))
derivative sqrt(n)	derivative\:\sqrt{n}
integral de y^2	\int\:y^{2}dy
integral de 1 a 2 de 3/(t^4)	\int\:_{1}^{2}\frac{3}{t^{4}}dt
x^2y^'+2x^3y=y^2(1+2x^2)	x^{2}y^{\prime\:}+2x^{3}y=y^{2}(1+2x^{2})
derivada de 9sqrt(x)+2	\frac{d}{dx}(9\sqrt{x}+2)
integral de (x+2sqrt(x-1))/(2xsqrt(x-1))	\int\:\frac{x+2\sqrt{x-1}}{2x\sqrt{x-1}}dx
derivative ((x^3-3))/((x^2+x-1))	derivative\:\frac{(x^{3}-3)}{(x^{2}+x-1)}
(2+x^2)y^'-2xy=0	(2+x^{2})y^{\prime\:}-2xy=0
pendiente y=8x-x^2	slope\:y=8x-x^{2}
derivada de x^2-3xy+y^2	\frac{d}{dx}(x^{2}-3xy+y^{2})
derivada de ((sqrt(x)-2)/(sqrt(x)+2))	\frac{d}{dx}(\frac{(\sqrt{x}-2)}{\sqrt{x}+2})
y^{''}+30y=0	y^{\prime\:\prime\:}+30y=0
integral de (2x)/(2x-1)	\int\:\frac{2x}{2x-1}dx
integral de (2x^3-x+0)^3*(6x^2-1)	\int\:(2x^{3}-x+0)^{3}\cdot\:(6x^{2}-1)dx
derivada de 6^{sqrt(x)}	\frac{d}{dx}(6^{\sqrt{x}})
límite cuando x tiende a 0 de (1+x)^{1/x}	\lim\:_{x\to\:0}((1+x)^{\frac{1}{x}})
derivada de ((x-1^2)/(x^2+2))	\frac{d}{dx}(\frac{(x-1)^{2}}{x^{2}+2})
derivative f(x)=(x-1)(x^2-8x+7)	derivative\:f(x)=(x-1)(x^{2}-8x+7)
derivative f(x)=(-cos(x))/(4x^2+2x-3)	derivative\:f(x)=\frac{-\cos(x)}{4x^{2}+2x-3}
inverselaplace 1/((s-5)^3)	inverselaplace\:\frac{1}{(s-5)^{3}}

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