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y^{''}+6y^'+9y=1+x	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=1+x
pendiente (4,-9),(8,-3)	slope\:(4,-9),(8,-3)
(d^2x)/(dt^2)-4(dx)/(dt)=4x	\frac{d^{2}x}{dt^{2}}-4\frac{dx}{dt}=4x
(dN)/(dt)+N=Nte^{t+7}	\frac{dN}{dt}+N=Nte^{t+7}
integral de-1 a 0 de (2x-1)	\int\:_{-1}^{0}(2x-1)dx
f^{''}(x)=-f(x),f(0)=0,f^'(0)=1	f^{\prime\:\prime\:}(x)=-f(x),f(0)=0,f^{\prime\:}(0)=1
serie de n=1 a infinity}e^{-6n de-e^{-6(n+1)}	\sum\:_{n=1}^{\infty\:}e^{-6n}-e^{-6(n+1)}
integral de (4x-3)5	\int\:(4x-3)5dx
integral de-2 a 6 de 4x-x^2-12	\int\:_{-2}^{6}4x-x^{2}-12dx
derivative 3x^2e^x+e^x(x^3+7)	derivative\:3x^{2}e^{x}+e^{x}(x^{3}+7)
tangent f(x)=x^2+x,\at x=-3	tangent\:f(x)=x^{2}+x,\at\:x=-3
y^'+y=cos(t)	y^{\prime\:}+y=\cos(t)
límite cuando x tiende a-infinity de 3	\lim\:_{x\to\:-\infty\:}(3)
derivada de 3^{sin(3x})	\frac{d}{dx}(3^{\sin(3x)})
integral de x/(4+x)	\int\:\frac{x}{4+x}dx
laplacetransform e(t+1)	laplacetransform\:e(t+1)
(\partial)/(\partial y)(3x^4e^y)	\frac{\partial\:}{\partial\:y}(3x^{4}e^{y})
integral de (24)/((x^2-9))	\int\:\frac{24}{(x^{2}-9)}dx
integral de 1/(sqrt(5-4r-r^2))	\int\:\frac{1}{\sqrt{5-4r-r^{2}}}dr
tangent f(x)= x/(1+5x^2),\at x=3	tangent\:f(x)=\frac{x}{1+5x^{2}},\at\:x=3
derivative y=sqrt(x)+3	derivative\:y=\sqrt{x}+3
integral de 5sin^3(6x)cos^3(6x)	\int\:5\sin^{3}(6x)\cos^{3}(6x)dx
integral de (5x^5)/(5+x^6)	\int\:\frac{5x^{5}}{5+x^{6}}dx
tangent 4x^2+2x,\at-3	tangent\:4x^{2}+2x,\at\:-3
integral de r/(sqrt(r^2+z^2))	\int\:\frac{r}{\sqrt{r^{2}+z^{2}}}dr
derivada de 1/(1+1/x)	\frac{d}{dx}(\frac{1}{1+\frac{1}{x}})
límite cuando x tiende a 3 de x^2+5x	\lim\:_{x\to\:3}(x^{2}+5x)
(dy)/(dx)= 1/11 sqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=\frac{1}{11}\sqrt{y}\cos^{2}(\sqrt{y})
derivative f(x)=(4x-7)^2	derivative\:f(x)=(4x-7)^{2}
derivada de Ae^{-2x}	\frac{d}{dx}(Ae^{-2x})
integral de (sec^2(x))/(2tan(x))	\int\:\frac{\sec^{2}(x)}{2\tan(x)}dx
límite cuando x tiende a 6 de (x^6)/((x-6))	\lim\:_{x\to\:6}(\frac{x^{6}}{(x-6)})
integral de 1/(3sin(x)-4cos(x))	\int\:\frac{1}{3\sin(x)-4\cos(x)}dx
xy^'+3y=1984x^{1982}	xy^{\prime\:}+3y=1984x^{1982}
integral de 1/([(ax)^2-b^2]^{3/2)}	\int\:\frac{1}{[(ax)^{2}-b^{2}]^{\frac{3}{2}}}dx
derivada de 7sqrt(x)(x^3-8sqrt(x)+5)	\frac{d}{dx}(7\sqrt{x}(x^{3}-8\sqrt{x}+5))
límite cuando x tiende a 0 de (e^x-1)/(2x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{2x})
tangent y= 2/(sqrt(x)),(36, 2/6)	tangent\:y=\frac{2}{\sqrt{x}},(36,\frac{2}{6})
derivada de-x+6/x+1	\frac{d}{dx}(-x+\frac{6}{x}+1)
integral de (2x+3)/(x^3+x)	\int\:\frac{2x+3}{x^{3}+x}dx
integral de-2 a 2 de-x^2+4	\int\:_{-2}^{2}-x^{2}+4dx
derivada de \sqrt[3]{x^2+3}	\frac{d}{dx}(\sqrt[3]{x^{2}+3})
(dy)/(dx)=9.8-0.2y	\frac{dy}{dx}=9.8-0.2y
laplacetransform (2+t)^4	laplacetransform\:(2+t)^{4}
integral de 16sqrt(3)cos^4(3x)sin^2(3x)	\int\:16\sqrt{3}\cos^{4}(3x)\sin^{2}(3x)dx
(\partial)/(\partial x)(x^3y^10sin(xy^2))	\frac{\partial\:}{\partial\:x}(x^{3}y^{1}0\sin(xy^{2}))
(\partial)/(\partial x)(3cos(4x))	\frac{\partial\:}{\partial\:x}(3\cos(4x))
derivative 2e^{3t+2x}	derivative\:2e^{3t+2x}
inverselaplace (25)/(s(s^2+4s+5))	inverselaplace\:\frac{25}{s(s^{2}+4s+5)}
integral de 2sec^4(7x)	\int\:2\sec^{4}(7x)dx
derivative 11x-6sin(x)	derivative\:11x-6\sin(x)
integral de (3e^{sqrt(x)})/(sqrt(x))	\int\:\frac{3e^{\sqrt{x}}}{\sqrt{x}}dx
derivada de 3(5-9x^5)	\frac{d}{dx}(3(5-9x)^{5})
integral de sec(t)(sec(t)tan(t))	\int\:\sec(t)(\sec(t)\tan(t))dt
límite cuando x tiende a infinity de (1+6x)^{3/x}	\lim\:_{x\to\:\infty\:}((1+6x)^{\frac{3}{x}})
integral de x/(sqrt(4x^2+1))	\int\:\frac{x}{\sqrt{4x^{2}+1}}dx
(dy)/(dx)=xsqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=x\sqrt{y}\cos^{2}(\sqrt{y})
(\partial)/(\partial x)(sqrt(15-x^2-2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{15-x^{2}-2y^{2}})
((dy)/(dx))=((x^2(y^5-2)))/(y^4)	(\frac{dy}{dx})=\frac{(x^{2}(y^{5}-2))}{y^{4}}
integral de 0 a pi/4 de (sin(4x))	\int\:_{0}^{\frac{π}{4}}(\sin(4x))dx
área x^3-12x^2+20x,-x^3+12x^2-20x	area\:x^{3}-12x^{2}+20x,-x^{3}+12x^{2}-20x
f(x)=7tan(x)	f(x)=7\tan(x)
tangent 7sqrt(x)	tangent\:7\sqrt{x}
integral de x^5e^x	\int\:x^{5}e^{x}dx
derivada de 1x^2	\frac{d}{dx}(1x^{2})
integral de x^3(x^2+1)	\int\:x^{3}(x^{2}+1)dx
derivada de (x-3^2)	\frac{d}{dx}((x-3)^{2})
integral de 1 a 2 de sin(x)	\int\:_{1}^{2}\sin(x)dx
(dy)/(dx)=sin(3x)-cos(5x)	\frac{dy}{dx}=\sin(3x)-\cos(5x)
derivative (3t-1)(4t-4)^{-1}	derivative\:(3t-1)(4t-4)^{-1}
integral de x 1/2	\int\:x\frac{1}{2}dx
derivada de 2sqrt(x-5)	\frac{d}{dx}(2\sqrt{x-5})
(\partial)/(\partial x)(1+arctan(x))	\frac{\partial\:}{\partial\:x}(1+\arctan(x))
integral de (cos(x))/(5+4cos(x))	\int\:\frac{\cos(x)}{5+4\cos(x)}dx
derivada de \sqrt[3]{(x^2+1/(x^2-1)})	\frac{d}{dx}(\sqrt[3]{\frac{x^{2}+1}{x^{2}-1}})
integral de 0 a pi/2 de 6sec^4(t/2)	\int\:_{0}^{\frac{π}{2}}6\sec^{4}(\frac{t}{2})dt
(\partial)/(\partial y)(x^2y^2z^2)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2}z^{2})
integral de (ln(x))/(x(ln^2(x)+4))	\int\:\frac{\ln(x)}{x(\ln^{2}(x)+4)}dx
(dy)/(dx)=(x-3)/(y-3)	\frac{dy}{dx}=\frac{x-3}{y-3}
integral de 1/(4x+5sqrt(x))	\int\:\frac{1}{4x+5\sqrt{x}}dx
(\partial)/(\partial y)(2cos(x))	\frac{\partial\:}{\partial\:y}(2\cos(x))
derivada de 7e^{-x}+e^{4x}	\frac{d}{dx}(7e^{-x}+e^{4x})
integral de (sqrt(9+x^2))/x	\int\:\frac{\sqrt{9+x^{2}}}{x}dx
derivative 1/2 x	derivative\:\frac{1}{2}x
integral de t^3sin(2t^2)	\int\:t^{3}\sin(2t^{2})dt
integral de e^{2x}sin^2(x)	\int\:e^{2x}\sin^{2}(x)dx
(dy)/(dx)=x^3(1-x^4)^4	\frac{dy}{dx}=x^{3}(1-x^{4})^{4}
derivada de x^9e^{9x}	\frac{d}{dx}(x^{9}e^{9x})
integral de-4 a 4 de 1/(16+x^2)	\int\:_{-4}^{4}\frac{1}{16+x^{2}}dx
derivada de-8cos^3(x)	\frac{d}{dx}(-8\cos^{3}(x))
integral de 1-x^2-3x^5	\int\:1-x^{2}-3x^{5}dx
derivative sqrt(x^2-5x)	derivative\:\sqrt{x^{2}-5x}
inverselaplace (5s)/((s+7)(s^2+4))	inverselaplace\:\frac{5s}{(s+7)(s^{2}+4)}
integral de 0 a 2 de (30t^2)/(4+t^3)	\int\:_{0}^{2}\frac{30t^{2}}{4+t^{3}}dt
integral de (x^3+x)/(x+1)	\int\:\frac{x^{3}+x}{x+1}dx
integral de sin(5)(t)cos(4)(t)	\int\:\sin(5)(t)\cos(4)(t)dt
límite cuando x tiende a infinity de 6x^3	\lim\:_{x\to\:\infty\:}(6x^{3})
derivative 2pir-pir^2	derivative\:2πr-πr^{2}
serie de n=0 a infinity de ((2x)/3)^n	\sum\:_{n=0}^{\infty\:}(\frac{2x}{3})^{n}
integral de (4e^x)/(e^{2x)+2e^x+1}	\int\:\frac{4e^{x}}{e^{2x}+2e^{x}+1}dx

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