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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a-infinity de x-5	\lim\:_{x\to\:-\infty\:}(x-5)
integral de-2 a 2 de 32-8y^2	\int\:_{-2}^{2}32-8y^{2}dy
integral de 6 a 8 de (46)/((x-6)^3)	\int\:_{6}^{8}\frac{46}{(x-6)^{3}}dx
tangent f(x)=(6x)/(x^2-3),(3,3)	tangent\:f(x)=\frac{6x}{x^{2}-3},(3,3)
(dy)/(dx)=-4y+x^3-x	\frac{dy}{dx}=-4y+x^{3}-x
y^{''}-3y^'-4y=3x^2+2	y^{\prime\:\prime\:}-3y^{\prime\:}-4y=3x^{2}+2
integral de (a+bx^6)/(sqrt(7ax+bx^7))	\int\:\frac{a+bx^{6}}{\sqrt{7ax+bx^{7}}}dx
derivative 4e^{-5t}-3e^{-t}	derivative\:4e^{-5t}-3e^{-t}
(dy)/(dt)+y=sin(t)	\frac{dy}{dt}+y=\sin(t)
laplacetransformación tsin(3t)-2tcos(t)	laplacetransform\:t\sin(3t)-2t\cos(t)
taylor 2sin(x^2)	taylor\:2\sin(x^{2})
integral de 2sec^2(x)tan(x)	\int\:2\sec^{2}(x)\tan(x)dx
laplacetransformación t^3e^{-2t}	laplacetransform\:t^{3}e^{-2t}
derivada de x*e^{-1/(x^2})	\frac{d}{dx}(x\cdot\:e^{-\frac{1}{x^{2}}})
(e^{-5x})^'	(e^{-5x})^{\prime\:}
integral de (x+4)/x	\int\:\frac{x+4}{x}dx
derivada de ax^3ln(x/4+bx^2(x-4))	\frac{d}{dx}(ax^{3}\ln(\frac{x}{4})+bx^{2}(x-4))
derivative ln(3x^5)	derivative\:\ln(3x^{5})
derivada de (e^x/(4-2x))	\frac{d}{dx}(\frac{e^{x}}{4-2x})
(dy)/(dt)=((y+3))/((1-y))	\frac{dy}{dt}=\frac{(y+3)}{(1-y)}
integral de 2csc(x)cot(x)	\int\:2\csc(x)\cot(x)dx
integral de 11θtan^2(θ)	\int\:11θ\tan^{2}(θ)dθ
(\partial)/(\partial x)(-2/3 x-1/3 y+2)	\frac{\partial\:}{\partial\:x}(-\frac{2}{3}x-\frac{1}{3}y+2)
tangent x+e^x-1/x	tangent\:x+e^{x}-\frac{1}{x}
integral de e^x(x+1)	\int\:e^{x}(x+1)dx
(\partial)/(\partial x)(8xe^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(8xe^{\sqrt{xy}})
(\partial}{\partial x}(\frac{(x-q))/y*q)	\frac{\partial\:}{\partial\:x}(\frac{(x-q)}{y}\cdot\:q)
integral de 1 a 16 de sqrt(x)	\int\:_{1}^{16}\sqrt{x}dx
inversalaplace s/(s+1.3)	inverselaplace\:\frac{s}{s+1.3}
(\partial)/(\partial x)(xy+x/y)	\frac{\partial\:}{\partial\:x}(xy+\frac{x}{y})
derivative f(z)=e^{z/(z-1)}	derivative\:f(z)=e^{\frac{z}{z-1}}
derivada de \sqrt[5]{(x^3-4x^{-3}})	\frac{d}{dx}(\sqrt[5]{(x^{3}-4x)^{-3}})
integral de 0 a 3 de (8t)/((t-4)^2)	\int\:_{0}^{3}\frac{8t}{(t-4)^{2}}dt
integral de 0 a pi/2 de sin^3(2x)	\int\:_{0}^{\frac{π}{2}}\sin^{3}(2x)dx
derivada de e^{0.4x}*cos(0.2x)	\frac{d}{dx}(e^{0.4x}\cdot\:\cos(0.2x))
área x^2,8-x^2	area\:x^{2},8-x^{2}
integral de 0 a 1 de xf(x)	\int\:_{0}^{1}xf(x)dx
(\partial)/(\partial x)(2x^4y-3xy+9y)	\frac{\partial\:}{\partial\:x}(2x^{4}y-3xy+9y)
(dy)/(dx)=sqrt(3x+y)-3	\frac{dy}{dx}=\sqrt{3x+y}-3
integral de 0 a 10 de xe^{-0.6x}	\int\:_{0}^{10}xe^{-0.6x}dx
(\partial)/(\partial y)(y(2-x-y))	\frac{\partial\:}{\partial\:y}(y(2-x-y))
integral de x(x^2+1)	\int\:x(x^{2}+1)dx
xy^'-y^'-(x-1)sin(x)+y=0	xy^{\prime\:}-y^{\prime\:}-(x-1)\sin(x)+y=0
integral de 0 a 1 de (1+x^2)e^{-x}	\int\:_{0}^{1}(1+x^{2})e^{-x}dx
derivative y= 7/(3-4x^4)	derivative\:y=\frac{7}{3-4x^{4}}
(x+1)y^'+(2x-1)y=e^{-2x}	(x+1)y^{\prime\:}+(2x-1)y=e^{-2x}
derivada de-6sin(6x)	\frac{d}{dx}(-6\sin(6x))
(\partial)/(\partial x)(ln(cos(x^2y^2+z)))	\frac{\partial\:}{\partial\:x}(\ln(\cos(x^{2}y^{2}+z)))
tangent arcsin(x/7),\at x=4	tangent\:\arcsin(\frac{x}{7}),\at\:x=4
derivada de ln(8-9x)	\frac{d}{dx}(\ln(8-9x))
y^{''}+4y=tsin(2t)	y^{\prime\:\prime\:}+4y=t\sin(2t)
(dy)/(dx)+12y=7	\frac{dy}{dx}+12y=7
(\partial)/(\partial x)(x/y+y/z)	\frac{\partial\:}{\partial\:x}(\frac{x}{y}+\frac{y}{z})
integral de 3xsqrt(3-3x)	\int\:3x\sqrt{3-3x}dx
(dy)/(dx)=(2x)/(3y^2)	\frac{dy}{dx}=\frac{2x}{3y^{2}}
(\partial)/(\partial x)(e^{4xy})	\frac{\partial\:}{\partial\:x}(e^{4xy})
derivada de x^3sin(2x)	\frac{d}{dx}(x^{3}\sin(2x))
serie de n=1 a infinity}((3^{n+1 de))/((4^{n-1))}	\sum\:_{n=1}^{\infty\:}\frac{(3^{n+1})}{(4^{n-1})}
derivada de (600/(1+49(0.6)^x))	\frac{d}{dx}(\frac{600}{1+49(0.6)^{x}})
d/(d{x)}(2{x}+{y}^2-{z}^2)	\frac{d}{d{x}}(2{x}+{y}^{2}-{z}^{2})
derivada de 10tan(x)	\frac{d}{dx}(10\tan(x))
d/(dX)(XY+YZ(Y+Z))	\frac{d}{dX}(XY+YZ(Y+Z))
serie de n=0 a infinity de (n!)/(3n!-1)	\sum\:_{n=0}^{\infty\:}\frac{n!}{3n!-1}
derivative e^xx-6e^x	derivative\:e^{x}x-6e^{x}
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=8	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=8
integral de (x^5-2x^3)	\int\:(x^{5}-2x^{3})dx
derivative y=log_{2}(x^2-5x)	derivative\:y=\log_{2}(x^{2}-5x)
derivada de arctan(x/6)	\frac{d}{dx}(\arctan(\frac{x}{6}))
integral de sqrt(x)ln(8x)	\int\:\sqrt{x}\ln(8x)dx
y'=0.0016y(2500-y)	y\prime\:=0.0016y(2500-y)
y^'-y=6te^{2t}	y^{\prime\:}-y=6te^{2t}
tangent f(x)=sqrt(1-4x),\at x=-1	tangent\:f(x)=\sqrt{1-4x},\at\:x=-1
(sqrt(x)+x)(dy)/(dx)=sqrt(y)+y	(\sqrt{x}+x)\frac{dy}{dx}=\sqrt{y}+y
(2xy^2+7y)+(2x^2y+7x)y^'=0	(2xy^{2}+7y)+(2x^{2}y+7x)y^{\prime\:}=0
x^2y^{''}+2xy^'-2=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-2=0
derivada de y^2-x^2	\frac{d}{dx}(y^{2}-x^{2})
(\partial)/(\partial x)(x^{0.25}y^{0.5})	\frac{\partial\:}{\partial\:x}(x^{0.25}y^{0.5})
(dy)/(dx)=x-3	\frac{dy}{dx}=x-3
laplacetransformación cos(8t+2pi)	laplacetransform\:\cos(8t+2π)
integral de 7tan^3(x)sec^3(x)	\int\:7\tan^{3}(x)\sec^{3}(x)dx
integral de x(2x+1)^2	\int\:x(2x+1)^{2}dx
tangent f(x)=x^2+4,(4,20)	tangent\:f(x)=x^{2}+4,(4,20)
límite cuando x tiende a 2-de e^{1/(x-2)}	\lim\:_{x\to\:2-}(e^{\frac{1}{x-2}})
y^'=y(1/x-y)	y^{\prime\:}=y(\frac{1}{x}-y)
área y=x^2-4x-5,y=2x-5	area\:y=x^{2}-4x-5,y=2x-5
integral de 2.25 a 2.75 de 2	\int\:_{2.25}^{2.75}2dx
derivada de arctan(3x^2-x)	\frac{d}{dx}(\arctan(3x^{2}-x))
integral de-infinity a 1 de 1/(x^2)	\int\:_{-\infty\:}^{1}\frac{1}{x^{2}}dx
integral de 0 a 6 de pi(-x^2+6x)	\int\:_{0}^{6}π(-x^{2}+6x)dx
y^{'''}=4t^3+t	y^{\prime\:\prime\:\prime\:}=4t^{3}+t
derivative 1/(1+e^{-t)}	derivative\:\frac{1}{1+e^{-t}}
integral de yze^y+2y	\int\:yze^{y}+2ydy
límite cuando x tiende a 0 de (1-cos(3x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(3x)}{x})
implicit (dy)/(dx),9e^{xy}+4x^2-2y^2=36	implicit\:\frac{dy}{dx},9e^{xy}+4x^{2}-2y^{2}=36
derivative ln(sqrt((4x+1)/(x^2-2)))	derivative\:\ln(\sqrt{\frac{4x+1}{x^{2}-2}})
integral de (2-sin(x))/(2+cos(x))	\int\:\frac{2-\sin(x)}{2+\cos(x)}dx
derivative cos(3x)	derivative\:\cos(3x)
integral de 60	\int\:60dx
integral de x^4sqrt(x+1)	\int\:x^{4}\sqrt{x+1}dx
derivative f(x)=(3x+1)^2	derivative\:f(x)=(3x+1)^{2}

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