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y^'=((t^2+ty+y^2))/(t^2)	y^{\prime\:}=\frac{(t^{2}+ty+y^{2})}{t^{2}}
límite cuando h tiende a 0 de 48+12h+h^2	\lim\:_{h\to\:0}(48+12h+h^{2})
derivative y=(2x-1)/(3x+5)	derivative\:y=\frac{2x-1}{3x+5}
serie de n=1 a infinity de 6/((-5)^n)	\sum\:_{n=1}^{\infty\:}\frac{6}{(-5)^{n}}
y^{''}+256y=sec(16x),y(0)=-5,y^'(0)=-6	y^{\prime\:\prime\:}+256y=\sec(16x),y(0)=-5,y^{\prime\:}(0)=-6
integral de (cos(5x))/(3+sin(5x))	\int\:\frac{\cos(5x)}{3+\sin(5x)}dx
y^{''}+25y=5(csc(5t))^2	y^{\prime\:\prime\:}+25y=5(\csc(5t))^{2}
ty^'+(t+1)y=t,y(ln(6))=1	ty^{\prime\:}+(t+1)y=t,y(\ln(6))=1
(\partial)/(\partial x)(sqrt(3x^2+7y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{3x^{2}+7y^{2}})
pendiente (2.3)(4.7)	slope\:(2.3)(4.7)
integral de-ln\|1-x\|	\int\:-\ln\left\|1-x\right\|dx
integral de 0 a H de z^2(1-z)^2	\int\:_{0}^{H}z^{2}(1-z)^{2}dz
(x^2+y)+(x+e^y)y^'=0	(x^{2}+y)+(x+e^{y})y^{\prime\:}=0
(dy)/(dx)=(cos(10x))/(e^{10y)}	\frac{dy}{dx}=\frac{\cos(10x)}{e^{10y}}
límite cuando x tiende a 0 de (2^x)/(3^x)	\lim\:_{x\to\:0}(\frac{2^{x}}{3^{x}})
(\partial)/(\partial x)(ln(3x+5y))	\frac{\partial\:}{\partial\:x}(\ln(3x+5y))
límite cuando x tiende a 0 de (x^2)/(x^2+1)	\lim\:_{x\to\:0}(\frac{x^{2}}{x^{2}+1})
integral de 1 a 2 de 9/(x^3+5x)	\int\:_{1}^{2}\frac{9}{x^{3}+5x}dx
integral de 15tan^3(x)	\int\:15\tan^{3}(x)dx
área e^{-x},(x+1)^2,x=1	area\:e^{-x},(x+1)^{2},x=1
integral de 4/(5+4x)	\int\:\frac{4}{5+4x}dx
integral de 3sin(y)+1	\int\:3\sin(y)+1dy
derivada de (x^2-1^2)	\frac{d}{dx}((x^{2}-1)^{2})
(e^xln(y))dx+((e^{2x})/(2y))dy=0,y(0)=e	(e^{x}\ln(y))dx+(\frac{e^{2x}}{2y})dy=0,y(0)=e
derivative h(x)= 6/x-2/(x^3)+1/(x^4)	derivative\:h(x)=\frac{6}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}}
y^{''}-4y=0,y(2)=2,y^'(-1)=1	y^{\prime\:\prime\:}-4y=0,y(2)=2,y^{\prime\:}(-1)=1
xy^'-4y=3x	xy^{\prime\:}-4y=3x
laplacetransformación-8t^6	laplacetransform\:-8t^{6}
y^{''}-5y^'+6y=3e^{2x}	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=3e^{2x}
integral de 0 a 1 de e^x-xe^{x^2}	\int\:_{0}^{1}e^{x}-xe^{x^{2}}dx
integral de x/(sqrt(x-1))	\int\:\frac{x}{\sqrt{x-1}}dx
derivative ln(1+1/x)	derivative\:\ln(1+\frac{1}{x})
(dy}{dx}=\frac{(x^3-2y))/x	\frac{dy}{dx}=\frac{(x^{3}-2y)}{x}
tangent 5x^3+2x+4,\at x=1	tangent\:5x^{3}+2x+4,\at\:x=1
integral de 2/(sqrt(9-x^2))	\int\:\frac{2}{\sqrt{9-x^{2}}}dx
derivative f(x)=x^2sin(4x^2)	derivative\:f(x)=x^{2}\sin(4x^{2})
(\partial)/(\partial x)(2z)	\frac{\partial\:}{\partial\:x}(2z)
derivative ((4-80y)/y)(y-48)	derivative\:(\frac{4-80y}{y})(y-48)
(\partial)/(\partial x)(f(x))	\frac{\partial\:}{\partial\:x}(f(x))
integral de 1/(x^2-4x+5)	\int\:\frac{1}{x^{2}-4x+5}dx
integral de sqrt(8x-x^2)	\int\:\sqrt{8x-x^{2}}dx
integral de xsqrt(12-x^2)	\int\:x\sqrt{12-x^{2}}dx
área y=1-x^2,y=4-4x	area\:y=1-x^{2},y=4-4x
derivative f(x)=-3x	derivative\:f(x)=-3x
(\partial)/(\partial x)((x^2y^2)^{1/3})	\frac{\partial\:}{\partial\:x}((x^{2}y^{2})^{\frac{1}{3}})
(\partial)/(\partial x)(8ye^{5x})	\frac{\partial\:}{\partial\:x}(8ye^{5x})
integral de (5^{-x})/(ln(5))	\int\:\frac{5^{-x}}{\ln(5)}dx
derivada de x/((x+2(x-3)))	\frac{d}{dx}(\frac{x}{(x+2)(x-3)})
derivative arcsin(sqrt(sin(5x)))	derivative\:\arcsin(\sqrt{\sin(5x)})
derivative (sqrt(x)+3x)(x^{3/2}-x)	derivative\:(\sqrt{x}+3x)(x^{\frac{3}{2}}-x)
(\partial)/(\partial y)(y+e^{sqrt(x)})	\frac{\partial\:}{\partial\:y}(y+e^{\sqrt{x}})
límite cuando x tiende a 3 de 5-2x+x^2	\lim\:_{x\to\:3}(5-2x+x^{2})
inversalaplace 1/((s^2+8s+15))	inverselaplace\:\frac{1}{(s^{2}+8s+15)}
(\partial)/(\partial x)(2x+6)	\frac{\partial\:}{\partial\:x}(2x+6)
límite cuando x tiende a 0+de (((1+x)^{1/x})/e)^{1/x}	\lim\:_{x\to\:0+}((\frac{(1+x)^{\frac{1}{x}}}{e})^{\frac{1}{x}})
derivative f(x)=3xsin(2x)	derivative\:f(x)=3x\sin(2x)
integral de 1/(xsqrt(6-x^2))	\int\:\frac{1}{x\sqrt{6-x^{2}}}dx
integral de sin^3(x/2)	\int\:\sin^{3}(\frac{x}{2})dx
límite cuando θ tiende a infinity de e^{-3θ}cos(θ)	\lim\:_{θ\to\:\infty\:}(e^{-3θ}\cos(θ))
límite cuando h tiende a 0 de ((a^{u+h}-a^u))/h	\lim\:_{h\to\:0}(\frac{(a^{u+h}-a^{u})}{h})
integral de e^{-ax}sin(bx)	\int\:e^{-ax}\sin(bx)dx
integral de (e^{3x}+5e^{-x})	\int\:(e^{3x}+5e^{-x})dx
derivada de c_{1}cos(x+c_{2}sin(x))	\frac{d}{dx}(c_{1}\cos(x)+c_{2}\sin(x))
integral de sin(p)	\int\:\sin(p)dp
y^{''}-4y^'+4y=0	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0
integral de x/(sqrt(7x^2+3))	\int\:\frac{x}{\sqrt{7x^{2}+3}}dx
derivada de ln(x^3-1/x)	\frac{d}{dx}(\ln(x^{3}-\frac{1}{x}))
f(x)=(xcos(x)+pi)/(pi-x)	f(x)=\frac{x\cos(x)+π}{π-x}
tangent sqrt(5x+6)	tangent\:\sqrt{5x+6}
(\partial)/(\partial x)(-(8x-4y)/(-5x-9y))	\frac{\partial\:}{\partial\:x}(-\frac{8x-4y}{-5x-9y})
derivative \sqrt[6]{3+tan(t)}	derivative\:\sqrt[6]{3+\tan(t)}
derivada de (2x^5-15/(x^4))	\frac{d}{dx}(\frac{2x^{5}-15}{x^{4}})
límite cuando x tiende a-1 de \sqrt[3]{x}	\lim\:_{x\to\:-1}(\sqrt[3]{x})
derivative e^{6y}	derivative\:e^{6y}
derivada de sin(3x+cos(2x))	\frac{d}{dx}(\sin(3x)+\cos(2x))
integral de 0 a 1 de (2x^2)/(1+x^2)	\int\:_{0}^{1}\frac{2x^{2}}{1+x^{2}}dx
derivative 1-x^2	derivative\:1-x^{2}
límite cuando x tiende a 0 de x^6cos(3/x)	\lim\:_{x\to\:0}(x^{6}\cos(\frac{3}{x}))
(dQ)/(dt)=-5/(980-\frac{3t){10}}Q+14.1	\frac{dQ}{dt}=-\frac{5}{980-\frac{3t}{10}}Q+14.1
integral de 4 a 5 de 1/x	\int\:_{4}^{5}\frac{1}{x}dx
integral de sqrt(9-x)	\int\:\sqrt{9-x}dx
(\partial)/(\partial x)(3x^3)	\frac{\partial\:}{\partial\:x}(3x^{3})
derivative f(x)=-4/(x^2)	derivative\:f(x)=-\frac{4}{x^{2}}
tangent y=8e^xcos(x)	tangent\:y=8e^{x}\cos(x)
integral de (sin(2x))^2cos(2x)	\int\:(\sin(2x))^{2}\cos(2x)dx
derivative-4sin(4t)	derivative\:-4\sin(4t)
d/(dθ)(6sin(θ)-8cos(θ))	\frac{d}{dθ}(6\sin(θ)-8\cos(θ))
integral de 2x^{-2}	\int\:2x^{-2}dx
derivative ln(4z+1)	derivative\:\ln(4z+1)
límite cuando x tiende a 1 de 3x^3-4x^2+x+5	\lim\:_{x\to\:1}(3x^{3}-4x^{2}+x+5)
derivada de sin(x+8/7 cot(x))	\frac{d}{dx}(\sin(x)+\frac{8}{7}\cot(x))
integral de-1 a 0 de (2x+3)^2	\int\:_{-1}^{0}(2x+3)^{2}dx
integral de e^{1/x} 1/(x^3)	\int\:e^{\frac{1}{x}}\frac{1}{x^{3}}dx
y^{''}-4y^'+3y=t^2	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=t^{2}
derivada de (e^{-x}-xe^{-x}/(e^x))	\frac{d}{dx}(\frac{e^{-x}-xe^{-x}}{e^{x}})
laplacetransformación e^{-0.75t}*cos(4t)	laplacetransform\:e^{-0.75t}\cdot\:\cos(4t)
derivada de 3^{(1-3x})	\frac{d}{dx}(3^{(1-3x)})
inversalaplace 20+(10)/s*1/(8s+1)	inverselaplace\:20+\frac{10}{s}\cdot\:\frac{1}{8s+1}
integral de 1/(y^2sqrt(y^2-7))	\int\:\frac{1}{y^{2}\sqrt{y^{2}-7}}dy
derivative (sin(2x)cos(3x))/x	derivative\:\frac{\sin(2x)\cos(3x)}{x}

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