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Problemas populares

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Problemas populares de Cálculo

integral de xsin(5-x)	\int\:x\sin(5-x)dx
inversalaplace 8/s	inverselaplace\:\frac{8}{s}
y^{''}+y^'-20y=-1200t^3	y^{\prime\:\prime\:}+y^{\prime\:}-20y=-1200t^{3}
(\partial)/(\partial x)((x+y)(xy+1))	\frac{\partial\:}{\partial\:x}((x+y)(xy+1))
integral de sqrt(x^2+6x+11)	\int\:\sqrt{x^{2}+6x+11}dx
integral de sin^2(x)sin(3x)	\int\:\sin^{2}(x)\sin(3x)dx
(\partial)/(\partial x)(sqrt(x+4))	\frac{\partial\:}{\partial\:x}(\sqrt{x+4})
inversalaplace 1/(2s^3+6s^2+4s)	inverselaplace\:\frac{1}{2s^{3}+6s^{2}+4s}
integral de x(sqrt(x))	\int\:x(\sqrt{x})dx
derivative y=(3x+4)^5+15x(3x+4)^4	derivative\:y=(3x+4)^{5}+15x(3x+4)^{4}
integral de-e^{4x}	\int\:-e^{4x}dx
serie de n=1 a infinity de n/(csc(1/n))	\sum\:_{n=1}^{\infty\:}\frac{n}{\csc(\frac{1}{n})}
integral de ((arctan(x))^4)/(1+x^2)	\int\:\frac{(\arctan(x))^{4}}{1+x^{2}}dx
(\partial)/(\partial x)(yln(x^3+y^4+2))	\frac{\partial\:}{\partial\:x}(y\ln(x^{3}+y^{4}+2))
derivada de e^{x{z}(x})	\frac{d}{dx}(e^{x{z}(x)})
tangent f(x)=x^2+169x+820,\at x=2	tangent\:f(x)=x^{2}+169x+820,\at\:x=2
derivative y=(2x)/(7-cot(x))	derivative\:y=\frac{2x}{7-\cot(x)}
integral de (x^{-1/2})	\int\:(x^{-\frac{1}{2}})dx
integral de 1 a 9 de (sqrt(x))	\int\:_{1}^{9}(\sqrt{x})dx
integral de 49	\int\:49dx
(\partial)/(\partial x)(4y^2x^3-3yx^2)	\frac{\partial\:}{\partial\:x}(4y^{2}x^{3}-3yx^{2})
x^{''}+4x^'+2x=0	x^{\prime\:\prime\:}+4x^{\prime\:}+2x=0
integral de (5e^{-0.8x})	\int\:(5e^{-0.8x})dx
derivative y=2xe^{2x}-e^{2x}	derivative\:y=2xe^{2x}-e^{2x}
integral de 18sin^{-3/2}(x)cos^3(x)	\int\:18\sin^{-\frac{3}{2}}(x)\cos^{3}(x)dx
(x-8y)dx+(4x)dy=0	(x-8y)dx+(4x)dy=0
inversalaplace ((s+1)^3)/(s^5)	inverselaplace\:\frac{(s+1)^{3}}{s^{5}}
límite cuando x tiende a 5 de ((x-5))/(sqrt(x^2+5))	\lim\:_{x\to\:5}(\frac{(x-5)}{\sqrt{x^{2}+5}})
integral de 0 a infinity de 4sin^2(a)	\int\:_{0}^{\infty\:}4\sin^{2}(a)da
integral de 9t^6	\int\:9t^{6}dt
laplacetransformación 5sin(3t)	laplacetransform\:5\sin(3t)
derivative e^{x^6}	derivative\:e^{x^{6}}
integral de (4+sqrt(x)+x)/x	\int\:\frac{4+\sqrt{x}+x}{x}dx
(\partial)/(\partial y)(2xy^2+y)	\frac{\partial\:}{\partial\:y}(2xy^{2}+y)
derivative f(x)=(x/(x^2+1))^2	derivative\:f(x)=(\frac{x}{x^{2}+1})^{2}
(dy)/(dx)+y=xe^{-x}+1	\frac{dy}{dx}+y=xe^{-x}+1
serie de n=0 a infinity de 1/(n(n+2))	\sum\:_{n=0}^{\infty\:}\frac{1}{n(n+2)}
límite cuando x tiende a 5 de x^2-25	\lim\:_{x\to\:5}(x^{2}-25)
derivada de x(x^2+1^2)	\frac{d}{dx}(x(x^{2}+1)^{2})
integral de 0 a 1 de (4x+6)/((x+1)^2)	\int\:_{0}^{1}\frac{4x+6}{(x+1)^{2}}dx
derivada de-x^3+2x^2-x	\frac{d}{dx}(-x^{3}+2x^{2}-x)
integral de (3x^2-2)/(x^3-2x-8)	\int\:\frac{3x^{2}-2}{x^{3}-2x-8}dx
límite cuando t tiende a 3+de ln(t-3)	\lim\:_{t\to\:3+}(\ln(t-3))
límite cuando x tiende a-pi/4 de csc(x)	\lim\:_{x\to\:-\frac{π}{4}}(\csc(x))
serie de n=1 a infinity de ((1+n)/n)^n	\sum\:_{n=1}^{\infty\:}(\frac{1+n}{n})^{n}
derivative (-1)/(sqrt(10+4t^2))	derivative\:\frac{-1}{\sqrt{10+4t^{2}}}
derivada de e^{x+y}sin(x-y)	\frac{d}{dx}(e^{x+y}\sin(x-y))
derivative (x-2)(x-3)^2	derivative\:(x-2)(x-3)^{2}
integral de-(2ln(x))/(x^2)	\int\:-\frac{2\ln(x)}{x^{2}}dx
derivada de ln((x^2/((x-4))))	\frac{d}{dx}(\ln(\frac{x^{2}}{(x-4)}))
derivada de x^3e^{x^2}	\frac{d}{dx}(x^{3}e^{x^{2}})
derivative f(x)=(3x-2)^4	derivative\:f(x)=(3x-2)^{4}
integral de cos(2x)-1	\int\:\cos(2x)-1dx
(dy)/(dx)=((x-y))/((x+2y))	\frac{dy}{dx}=\frac{(x-y)}{(x+2y)}
(\partial)/(\partial x)(sqrt(x^2+z^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+z^{2}})
derivada de (3x^2+2x/(4x-3))	\frac{d}{dx}(\frac{3x^{2}+2x}{4x-3})
derivative g(x)=3e^xsqrt(x)	derivative\:g(x)=3e^{x}\sqrt{x}
derivada de cos(x+xcos(y)-y)	\frac{d}{dx}(\cos(x)+x\cos(y)-y)
(\partial)/(\partial x)(xyz+9x+8y-4z)	\frac{\partial\:}{\partial\:x}(xyz+9x+8y-4z)
laplacetransformación f(t)=1	laplacetransform\:f(t)=1
inversalaplace s/((s+1)^5)	inverselaplace\:\frac{s}{(s+1)^{5}}
derivative 2sin(4x)	derivative\:2\sin(4x)
integral de sin^3(3x)cos^5(3x)	\int\:\sin^{3}(3x)\cos^{5}(3x)dx
integral de-2 a 14 de 1/((x+2)^{1/4)}	\int\:_{-2}^{14}\frac{1}{(x+2)^{\frac{1}{4}}}dx
integral de (x^3)/(sqrt(x))	\int\:\frac{x^{3}}{\sqrt{x}}dx
integral de x+2-x^2	\int\:x+2-x^{2}dx
y^'=9x+y,y(0)=4	y^{\prime\:}=9x+y,y(0)=4
integral de 0 a 1 de (13)/(4y-1)	\int\:_{0}^{1}\frac{13}{4y-1}dy
derivative \sqrt[3]{x^4+5x}	derivative\:\sqrt[3]{x^{4}+5x}
derivative e^{-8x}	derivative\:e^{-8x}
serie de n=0 a infinity de e^n	\sum\:_{n=0}^{\infty\:}e^{n}
(4x)^'	(4x)^{\prime\:}
tangent 2sqrt(3)sin(x)+2cos(x)	tangent\:2\sqrt{3}\sin(x)+2\cos(x)
integral de 2cos(sqrt(10x))	\int\:2\cos(\sqrt{10x})dx
derivada de (x^2+sin(x)^3)	\frac{d}{dx}((x^{2}+\sin(x))^{3})
integral de-1 a 1 de x^3-x	\int\:_{-1}^{1}x^{3}-xdx
laplacetransformación 1e^{4t}	laplacetransform\:1e^{4t}
integral de (x^2)/((x^3+2)^2)	\int\:\frac{x^{2}}{(x^{3}+2)^{2}}dx
tangent (6x)/(x+7),\at x=1	tangent\:\frac{6x}{x+7},\at\:x=1
(\partial)/(\partial y)(xe^{y/x})	\frac{\partial\:}{\partial\:y}(xe^{\frac{y}{x}})
derivative x^2-2	derivative\:x^{2}-2
integral de (y^2+6y+9)/((y^2+9)^2)	\int\:\frac{y^{2}+6y+9}{(y^{2}+9)^{2}}dy
tangent f(x)=3sqrt(x-1),\at x=5	tangent\:f(x)=3\sqrt{x-1},\at\:x=5
serie de n=1 a infinity de (n!)/((2n)!)	\sum\:_{n=1}^{\infty\:}\frac{n!}{(2n)!}
derivative x^4+4/3 x^3-4x^2-4/3	derivative\:x^{4}+\frac{4}{3}x^{3}-4x^{2}-\frac{4}{3}
integral de (y+1)/(y^2+1)	\int\:\frac{y+1}{y^{2}+1}dy
tangent f(x)=5x^3-5x,(-1,0)	tangent\:f(x)=5x^{3}-5x,(-1,0)
derivative g(x)=(1+2x)/(3-4x)	derivative\:g(x)=\frac{1+2x}{3-4x}
integral de x(4x+5)^3	\int\:x(4x+5)^{3}dx
implicit (dy)/(dx),xy=28	implicit\:\frac{dy}{dx},xy=28
pendiente (-1.2)(-2.3)	slope\:(-1.2)(-2.3)
integral de sin^4(y)cos(y)	\int\:\sin^{4}(y)\cos(y)dy
derivada de ln(\sqrt[4]{(6x+1/(6-x)}))	\frac{d}{dx}(\ln(\sqrt[4]{\frac{6x+1}{6-x}}))
derivada de (0.001x/(0.001x+1))	\frac{d}{dx}(\frac{0.001x}{0.001x+1})
derivative y=x^2sin(x)	derivative\:y=x^{2}\sin(x)
(x^8)^'	(x^{8})^{\prime\:}
integral de sec^2(x)-8	\int\:\sec^{2}(x)-8dx
taylor (x-pi)^3	taylor\:(x-π)^{3}
serie de n=1 a infinity de 3n	\sum\:_{n=1}^{\infty\:}3n
derivada de 300x(1-x)	\frac{d}{dx}(300x(1-x))

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