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tangent f(x)=110x-16x^2,\at	tangent\:f(x)=110x-16x^{2},\at\:
paridad y=ln\|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)\|	parity\:y=\ln\left\|\sqrt{e^{1+x^{2}}+3x^{4}}+\cot^{2}(πx)\right\|
límite cuando x tiende a 0-de 1/x-1/x	\lim\:_{x\to\:0-}(\frac{1}{x}-\frac{1}{x})
pendiente (7,-3),(11,-4)	slope\:(7,-3),(11,-4)
integral de-infinity a 0 de xe^{x^2}	\int\:_{-\infty\:}^{0}xe^{x^{2}}dx
integral de x^2cos(x)+2xsin(x)	\int\:x^{2}\cos(x)+2x\sin(x)dx
límite cuando x tiende a 0 de (5x)/(x^2)	\lim\:_{x\to\:0}(\frac{5x}{x^{2}})
integral de cos^3(4x)	\int\:\cos^{3}(4x)dx
integral de 2x+8sin(x)	\int\:2x+8\sin(x)dx
integral de (sec^2(x)-2)	\int\:(\sec^{2}(x)-2)dx
integral de 0 a 2 de 2/(sqrt(2-x))	\int\:_{0}^{2}\frac{2}{\sqrt{2-x}}dx
integral de 0 a 1 de e^{-8x}	\int\:_{0}^{1}e^{-8x}dx
límite cuando x tiende a infinity de ((e^{(15)/x}-1))/((15)/x)	\lim\:_{x\to\:\infty\:}(\frac{(e^{\frac{15}{x}}-1)}{\frac{15}{x}})
inverselaplace (s+3/2)^2	inverselaplace\:(s+\frac{3}{2})^{2}
integral de e^{(-x)/k}*(-x)/k	\int\:e^{\frac{-x}{k}}\cdot\:\frac{-x}{k}dx
límite cuando x tiende a infinity de x^3-2x	\lim\:_{x\to\:\infty\:}(x^{3}-2x)
derivative f(x)=(2x+5)/(x+2)*2x-5	derivative\:f(x)=\frac{2x+5}{x+2}\cdot\:2x-5
(dy)/(dx)=xy+y^2	\frac{dy}{dx}=xy+y^{2}
integral de (12x^2)/(4x^3-6)	\int\:\frac{12x^{2}}{4x^{3}-6}dx
y^'=((3xsec(y/x)+y))/x	y^{\prime\:}=\frac{(3x\sec(\frac{y}{x})+y)}{x}
(\partial)/(\partial x)((x^2-2y)/(4x^2+2y))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}-2y}{4x^{2}+2y})
(\partial)/(\partial y)(xy^4)	\frac{\partial\:}{\partial\:y}(xy^{4})
tangent f(x)=x^3-3x+2,\at x=4	tangent\:f(x)=x^{3}-3x+2,\at\:x=4
área y= 1/x ,y=2x-1,0,3	area\:y=\frac{1}{x},y=2x-1,0,3
límite cuando x tiende a infinity de 4cos(3x)	\lim\:_{x\to\:\infty\:}(4\cos(3x))
integral de 0.55t^2+1.575t^4	\int\:0.55t^{2}+1.575t^{4}dt
integral de x/(x^{-5/2)}	\int\:\frac{x}{x^{-\frac{5}{2}}}dx
integral de 3x^2-3y^2	\int\:3x^{2}-3y^{2}dy
d/(dt)(te^{(t)})	\frac{d}{dt}(te^{(t)})
límite cuando x tiende a-1 de 4x^3-3x^2+5	\lim\:_{x\to\:-1}(4x^{3}-3x^{2}+5)
límite cuando x tiende a 0= de (sin(4x))/6	\lim\:_{x\to\:0=}(\frac{\sin(4x)}{6})
límite cuando x tiende a 6+de (cos((5pi)/6))/(ln(7-x))	\lim\:_{x\to\:6+}(\frac{\cos(\frac{5π}{6})}{\ln(7-x)})
laplacetransform H^{1/2}	laplacetransform\:H^{\frac{1}{2}}
límite cuando w tiende a 3 de ((w-3))/((2w^2-w-15))	\lim\:_{w\to\:3}(\frac{(w-3)}{(2w^{2}-w-15)})
x^2y^'=xy+2x^2e^{y/x}	x^{2}y^{\prime\:}=xy+2x^{2}e^{\frac{y}{x}}
f(x)=-1/(1-x)	f(x)=-\frac{1}{1-x}
(\partial)/(\partial x)(-sin^2(x))	\frac{\partial\:}{\partial\:x}(-\sin^{2}(x))
derivada de arcsin({f}(x))	\frac{d}{dx}(\arcsin({f}(x)))
integral de sqrt(tan(4x))(sec(4x))^2	\int\:\sqrt{\tan(4x)}(\sec(4x))^{2}dx
inverselaplace ((s^2-1))/((s^2+1)^2)	inverselaplace\:\frac{(s^{2}-1)}{(s^{2}+1)^{2}}
límite cuando x tiende a 1-de (x^2+1)^2	\lim\:_{x\to\:1-}((x^{2}+1)^{2})
laplacetransform \delta(t-1)	laplacetransform\:\delta(t-1)
integral de 0 a pi de cos(x+pi)	\int\:_{0}^{π}\cos(x+π)dx
integral de (x^2)/x	\int\:\frac{x^{2}}{x}dx
(\partial)/(\partial x)(3ax^2+e^{xx}+e^x)	\frac{\partial\:}{\partial\:x}(3ax^{2}+e^{xx}+e^{x})
integral de sqrt(x^2-4x+1)	\int\:\sqrt{x^{2}-4x+1}dx
derivada de (x-5(x+4)(x+5))	\frac{d}{dx}((x-5)(x+4)(x+5))
derivada de (5x-x^2/(sqrt(x))-3cot(x))	\frac{d}{dx}(\frac{5x-x^{2}}{\sqrt{x}}-3\cot(x))
integral de (((y+1))/y)^2	\int\:(\frac{(y+1)}{y})^{2}dy
integral de 1/(x^2*sqrt(16+9x^2))	\int\:\frac{1}{x^{2}\cdot\:\sqrt{16+9x^{2}}}dx
(\partial)/(\partial x)(1/2 ln(y))	\frac{\partial\:}{\partial\:x}(\frac{1}{2}\ln(y))
integral de 2/x-4e^x	\int\:\frac{2}{x}-4e^{x}dx
(\partial)/(\partial x)((3y)/(x^5))	\frac{\partial\:}{\partial\:x}(\frac{3y}{x^{5}})
integral de 2 a infinity de e^{-x/3}	\int\:_{2}^{\infty\:}e^{-\frac{x}{3}}dx
derivative cos(sin(x^3))	derivative\:\cos(\sin(x^{3}))
y^3-(18x+4)+3xy^2y^'=0	y^{3}-(18x+4)+3xy^{2}y^{\prime\:}=0
(\partial)/(\partial x)(e^{-x}*(x-y^2))	\frac{\partial\:}{\partial\:x}(e^{-x}\cdot\:(x-y^{2}))
derivada de arcsech(sqrt(1-x^2))	\frac{d}{dx}(\arcsech(\sqrt{1-x^{2}}))
derivada de x*e^{xy}	\frac{d}{dx}(x\cdot\:e^{xy})
derivada de (cos^2(x)^x)	\frac{d}{dx}((\cos^{2}(x))^{x})
límite cuando x tiende a 0-de x^3+3x+2	\lim\:_{x\to\:0-}(x^{3}+3x+2)
derivada de (x-6/(7x^2e^x))	\frac{d}{dx}(\frac{x-6}{7x^{2}e^{x}})
e^xy*(dy)/(dx)=e^{-y}+e^{-3x-y}	e^{x}y\cdot\:\frac{dy}{dx}=e^{-y}+e^{-3x-y}
límite cuando x tiende a 0+de (tan(2x))^2	\lim\:_{x\to\:0+}((\tan(2x))^{2})
d/(dz)(2xy)	\frac{d}{dz}(2xy)
(\partial)/(\partial x)((x^{1-a})/(1-a))	\frac{\partial\:}{\partial\:x}(\frac{x^{1-a}}{1-a})
integral de (x^3+4x^2-5)/(x^3)	\int\:\frac{x^{3}+4x^{2}-5}{x^{3}}dx
derivada de acos(x+x^2sin(x))	\frac{d}{dx}(a\cos(x)+x^{2}\sin(x))
tangent 3xy-2x+16=0,(2,-2)	tangent\:3xy-2x+16=0,(2,-2)
límite cuando x tiende a 0 de (sin(3/5)x)/x	\lim\:_{x\to\:0}(\frac{\sin(\frac{3}{5})x}{x})
integral de cos^4(5x)	\int\:\cos^{4}(5x)dx
derivada de sin(2x+10)	\frac{d}{dx}(\sin(2x)+10)
derivative 5/(x^2)	derivative\:\frac{5}{x^{2}}
integral de 0 a 1.75 de 1250x	\int\:_{0}^{1.75}1250xdx
y^'+3y=x^2	y^{\prime\:}+3y=x^{2}
derivada de x/((x+1^2))	\frac{d}{dx}(\frac{x}{(x+1)^{2}})
(dy)/(dx)+4e^{x+y}=0	\frac{dy}{dx}+4e^{x+y}=0
área y=x^2-9,y=(2x-1)(x+3)	area\:y=x^{2}-9,y=(2x-1)(x+3)
derivada de xe^{2xy}	\frac{d}{dx}(xe^{2xy})
derivada de 9(3x+5^2)	\frac{d}{dx}(9(3x+5)^{2})
límite cuando (x,y) tiende a (0,3) de x^3y	\lim\:_{(x,y)\to\:(0,3)}(x^{3}y)
derivative ((x^3)^2)^2	derivative\:((x^{3})^{2})^{2}
(\partial)/(\partial x)(1/(y-1))	\frac{\partial\:}{\partial\:x}(\frac{1}{y-1})
integral de e^{2x}*2x	\int\:e^{2x}\cdot\:2xdx
derivada de ((x+3(x^2-3x+9))/(x^3))	\frac{d}{dx}(\frac{(x+3)(x^{2}-3x+9)}{x^{3}})
(dy)/(dx)=4y^2-3y+1	\frac{dy}{dx}=4y^{2}-3y+1
área x=y+12,x=y^2+2y	area\:x=y+12,x=y^{2}+2y
derivative sin(tan(7x))	derivative\:\sin(\tan(7x))
integral de 2 a 4 de (10+4x-3x^3)	\int\:_{2}^{4}(10+4x-3x^{3})dx
derivative f(x)=30e^{x^2}x	derivative\:f(x)=30e^{x^{2}}x
integral de 0 a 9 de 2piy(81-y^2)	\int\:_{0}^{9}2πy(81-y^{2})dy
integral de (x+1)/((x^2+2x-1)^2)	\int\:\frac{x+1}{(x^{2}+2x-1)^{2}}dx
límite cuando x tiende a 2-de 5x^5-9x^4+5	\lim\:_{x\to\:2-}(5x^{5}-9x^{4}+5)
laplacetransform cos(2t-2)e^{3t}	laplacetransform\:\cos(2t-2)e^{3t}
integral de 0 a 1.75 de 1500x	\int\:_{0}^{1.75}1500xdx
integral de 1/(x^3-4x^2+8x)	\int\:\frac{1}{x^{3}-4x^{2}+8x}dx
límite cuando x tiende a 3 de 1/(6-2x)	\lim\:_{x\to\:3}(\frac{1}{6-2x})
y^{''}+5y^'-24y=0	y^{\prime\:\prime\:}+5y^{\prime\:}-24y=0
integral de (3x-1)/(x^2-3x-4)	\int\:\frac{3x-1}{x^{2}-3x-4}dx
integral de e^{2t+e^t}	\int\:e^{2t+e^{t}}dt

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