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Problemas populares de Cálculo

f(x)=ln(6x^2+1)	f(x)=\ln(6x^{2}+1)
laplacetransformación e^{5t}t	laplacetransform\:e^{5t}t
derivada de sqrt(x^2-6x+9)	\frac{d}{dx}(\sqrt{x^{2}-6x+9})
integral de 1 a 2 de 1/(x(ln(x))^1)	\int\:_{1}^{2}\frac{1}{x(\ln(x))^{1}}dx
integral de 1 a infinity de 1/(1+e^x)	\int\:_{1}^{\infty\:}\frac{1}{1+e^{x}}dx
área 2x,5, 2/(x^2)	area\:2x,5,\frac{2}{x^{2}}
límite cuando x tiende a infinity de 2x-sqrt(4x^2-2x)	\lim\:_{x\to\:\infty\:}(2x-\sqrt{4x^{2}-2x})
integral de 1/(2x+2)	\int\:\frac{1}{2x+2}dx
taylor 5^t	taylor\:5^{t}
integral de 2zln(y)	\int\:2z\ln(y)dz
integral de (15)/x	\int\:\frac{15}{x}dx
integral de 6e^{5x}	\int\:6e^{5x}dx
pendiente (7,-6),(4,-6)	slope\:(7,-6),(4,-6)
f(x)=e^{2x+1}	f(x)=e^{2x+1}
integral de v^{-2/3}	\int\:v^{-\frac{2}{3}}dv
límite cuando x tiende a 8 de (1+\sqrt[3]{x})(2-5x^2+x^3)	\lim\:_{x\to\:8}((1+\sqrt[3]{x})(2-5x^{2}+x^{3}))
derivative 1/((2sqrt(x)))	derivative\:\frac{1}{(2\sqrt{x})}
límite cuando x tiende a 6 de 4/((x-6)^2)	\lim\:_{x\to\:6}(\frac{4}{(x-6)^{2}})
integral de 1/(4-9x^2)	\int\:\frac{1}{4-9x^{2}}dx
f(x)=sqrt(2x+3)	f(x)=\sqrt{2x+3}
derivada de 2/(sqrt(3-x))	\frac{d}{dx}(\frac{2}{\sqrt{3-x}})
integral de x^3sqrt(x^4+5)	\int\:x^{3}\sqrt{x^{4}+5}dx
derivada de sec(tan^2(x^4))	\frac{d}{dx}(\sec(\tan^{2}(x^{4})))
serie de n=0 a infinity de (e/(2pi))^n	\sum\:_{n=0}^{\infty\:}(\frac{e}{2π})^{n}
dy=(xy^2+3xy)dx	dy=(xy^{2}+3xy)dx
y^{''}+4y^'+4y=25cos(x)	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=25\cos(x)
serie de n=0 a infinity de 1/(3^n-n)	\sum\:_{n=0}^{\infty\:}\frac{1}{3^{n}-n}
derivative x^y	derivative\:x^{y}
derivative y=x^2sqrt(2x-7)	derivative\:y=x^{2}\sqrt{2x-7}
integral de (2x^2+1)e^{(x^2)}	\int\:(2x^{2}+1)e^{(x^{2})}dx
x(dy)/(dx)= 1/(y^3)	x\frac{dy}{dx}=\frac{1}{y^{3}}
q^{''}+2q^'+1/(0.25)q=50cos(sqrt(3)t)	q^{\prime\:\prime\:}+2q^{\prime\:}+\frac{1}{0.25}q=50\cos(\sqrt{3}t)
(\partial)/(\partial y)(xarctan(x+2y))	\frac{\partial\:}{\partial\:y}(x\arctan(x+2y))
derivative e^x-e^{-x}-2x	derivative\:e^{x}-e^{-x}-2x
integral de 2x(x^2+1)^{-6}	\int\:2x(x^{2}+1)^{-6}dx
derivative f(t)= 1/((t^2+3t+1)^{5/2)}	derivative\:f(t)=\frac{1}{(t^{2}+3t+1)^{\frac{5}{2}}}
integral de sqrt(1-e^x)	\int\:\sqrt{1-e^{x}}dx
límite cuando x tiende a-infinity de x^3-x	\lim\:_{x\to\:-\infty\:}(x^{3}-x)
límite cuando x tiende a infinity de x^{-6}	\lim\:_{x\to\:\infty\:}(x^{-6})
integral de-x*e^{3x}	\int\:-x\cdot\:e^{3x}dx
integral de sqrt(x^2-y^2)	\int\:\sqrt{x^{2}-y^{2}}dy
integral de (4x^3-6x^4)/(2x^6)	\int\:\frac{4x^{3}-6x^{4}}{2x^{6}}dx
y^'=2y-x^2	y^{\prime\:}=2y-x^{2}
((x^2+x+4)/(x+1))^'	(\frac{x^{2}+x+4}{x+1})^{\prime\:}
laplacetransformación 8te^{2t}	laplacetransform\:8te^{2t}
derivative f(x)=(5-xe^x)/(x+e^x)	derivative\:f(x)=\frac{5-xe^{x}}{x+e^{x}}
derivada de (x^2/(sqrt(2)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{2}})
derivative y=xe^{-2x}	derivative\:y=xe^{-2x}
derivative 1/2 sin^2(x)	derivative\:\frac{1}{2}\sin^{2}(x)
límite cuando x tiende a-1 de (1+1/x)^x	\lim\:_{x\to\:-1}((1+\frac{1}{x})^{x})
integral de x^3-2x	\int\:x^{3}-2xdx
límite cuando x tiende a-16 de 14	\lim\:_{x\to\:-16}(14)
(\partial)/(\partial x)(2cos^2(x))	\frac{\partial\:}{\partial\:x}(2\cos^{2}(x))
(\partial)/(\partial y)(z/x)	\frac{\partial\:}{\partial\:y}(\frac{z}{x})
(x^2+3)((dy)/(dx))=xy	(x^{2}+3)(\frac{dy}{dx})=xy
derivada de 1/((5x^6+4x+1^{9/2)})	\frac{d}{dx}(\frac{1}{(5x^{6}+4x+1)^{\frac{9}{2}}})
(dy)/(dx)+6/x y=-5x+9	\frac{dy}{dx}+\frac{6}{x}y=-5x+9
(x+1)(dy)/(dx)+(x+2)y=2xe^{-x}	(x+1)\frac{dy}{dx}+(x+2)y=2xe^{-x}
integral de (x^2+4x)/(x^3+6x^2+5)	\int\:\frac{x^{2}+4x}{x^{3}+6x^{2}+5}dx
integral de (x+1)/(x^3-x)	\int\:\frac{x+1}{x^{3}-x}dx
(\partial)/(\partial L)({K}(α)(α)^αL^{1-α})	\frac{\partial\:}{\partial\:L}({K}(α)(α)^{α}L^{1-α})
y^'+4y=0	y^{\prime\:}+4y=0
serie de n=1 a infinity de 8(7/8)^n	\sum\:_{n=1}^{\infty\:}8(\frac{7}{8})^{n}
integral de 18x^2(6x^3+5)^{1/2}	\int\:18x^{2}(6x^{3}+5)^{\frac{1}{2}}dx
integral de tan^2(x)(sec^2(x)-1)	\int\:\tan^{2}(x)(\sec^{2}(x)-1)dx
derivada de (x^3+x^{3/2})	\frac{d}{dx}((x^{3}+x)^{\frac{3}{2}})
derivada de 2^{cos(x})	\frac{d}{dx}(2^{\cos(x)})
serie de n=0 a infinity de 2^{3-2n}	\sum\:_{n=0}^{\infty\:}2^{3-2n}
integral de x/((1+2x)^2)	\int\:\frac{x}{(1+2x)^{2}}dx
(\partial)/(\partial t)(2s^2t^2)	\frac{\partial\:}{\partial\:t}(2s^{2}t^{2})
integral de x^2sqrt(8+x)	\int\:x^{2}\sqrt{8+x}dx
derivada de arccot(1/2 (x-1/x))	\frac{d}{dx}(\arccot(\frac{1}{2})(x-\frac{1}{x}))
integral de 7/(9+4x^2)	\int\:\frac{7}{9+4x^{2}}dx
derivada de ln(x/7)	\frac{d}{dx}(\ln(\frac{x}{7}))
y^{''}+5y^'+6=1	y^{\prime\:\prime\:}+5y^{\prime\:}+6=1
laplacetransformación 3e^{-4t}	laplacetransform\:3e^{-4t}
derivative (4x+3)(2x^2+7x-1)	derivative\:(4x+3)(2x^{2}+7x-1)
integral de x^2-21	\int\:x^{2}-21dx
integral de (x+3)/(x(2x-1)^2(x+1)^2)	\int\:\frac{x+3}{x(2x-1)^{2}(x+1)^{2}}dx
derivative (x^2-2sqrt(x))/x	derivative\:\frac{x^{2}-2\sqrt{x}}{x}
integral de 1 a 13 de 4x^{-2}	\int\:_{1}^{13}4x^{-2}dx
integral de 1/(xsqrt(49x^2+1))	\int\:\frac{1}{x\sqrt{49x^{2}+1}}dx
integral de sec^7(5x+4)	\int\:\sec^{7}(5x+4)dx
derivative x/(sqrt(1+x^2))	derivative\:\frac{x}{\sqrt{1+x^{2}}}
límite cuando x tiende a 4+de 7/((x-4)^2)	\lim\:_{x\to\:4+}(\frac{7}{(x-4)^{2}})
d/(dy)((cos(x)+sin(y))^{ysin(2x-y)})	\frac{d}{dy}((\cos(x)+\sin(y))^{y\sin(2x-y)})
taylor 2xln(x+1)	taylor\:2x\ln(x+1)
derivative y=(200)/(0.9+0.1e^{2x)}	derivative\:y=\frac{200}{0.9+0.1e^{2x}}
límite cuando x tiende a 0 de 2/(x^2+x)	\lim\:_{x\to\:0}(\frac{2}{x^{2}+x})
integral de ((2x^2+3x+2))/((x^2+1)^2)	\int\:\frac{(2x^{2}+3x+2)}{(x^{2}+1)^{2}}dx
(\partial)/(\partial v)(2vcos(u))	\frac{\partial\:}{\partial\:v}(2v\cos(u))
derivative 0.882A^{0.842}	derivative\:0.882A^{0.842}
laplacetransformación-8t^2	laplacetransform\:-8t^{2}
derivative f(x)=x^{1/2}	derivative\:f(x)=x^{\frac{1}{2}}
límite cuando x tiende a 0 de (1-cos(x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(x)}{x})
derivada de ln(4sec(x))	\frac{d}{dx}(\ln(4\sec(x)))
laplacetransformación 2t^2-e^{-1}	laplacetransform\:2t^{2}-e^{-1}
serie de n=1 a infinity de 1/4	\sum\:_{n=1}^{\infty\:}\frac{1}{4}
tangent f(x)=(x^2)/(x+2),\at x=2	tangent\:f(x)=\frac{x^{2}}{x+2},\at\:x=2
integral de y^2e^{xy^2}	\int\:y^{2}e^{xy^{2}}dx

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