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Problemas populares

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Problemas populares de Cálculo

integral de sin(x-1)	\int\:\sin(x-1)dx
área x=2y^2,x=4-y^2	area\:x=2y^{2},x=4-y^{2}
(\partial)/(\partial x)(z/x)	\frac{\partial\:}{\partial\:x}(\frac{z}{x})
integral de ((x^3+10))/(x^3-2x^2+5x)	\int\:\frac{(x^{3}+10)}{x^{3}-2x^{2}+5x}dx
integral de-cos(y)	\int\:-\cos(y)dy
serie de n=0 a infinity de 4*(-1/8)^n	\sum\:_{n=0}^{\infty\:}4\cdot\:(-\frac{1}{8})^{n}
límite cuando y tiende a-2 de (y^3+8)/(y+2)	\lim\:_{y\to\:-2}(\frac{y^{3}+8}{y+2})
integral de cos(x)sec(x)tan(x)	\int\:\cos(x)\sec(x)\tan(x)dx
integral de 0 a 2 de 2x-1	\int\:_{0}^{2}2x-1dx
9xy^'-2y=-(x^2)/(y^8)	9xy^{\prime\:}-2y=-\frac{x^{2}}{y^{8}}
(\partial)/(\partial x)(log_{y}(x))	\frac{\partial\:}{\partial\:x}(\log_{y}(x))
(\partial)/(\partial x)(x^3y+7x^2y^2)	\frac{\partial\:}{\partial\:x}(x^{3}y+7x^{2}y^{2})
f(x)= x/((x^2-1)^4)	f(x)=\frac{x}{(x^{2}-1)^{4}}
inversalaplace ((1))/(s^2)	inverselaplace\:\frac{(1)}{s^{2}}
(\partial)/(\partial y)(3x^2+2y^2-4xy+5)	\frac{\partial\:}{\partial\:y}(3x^{2}+2y^{2}-4xy+5)
integral de-1 a 2 de (2+x-x^2)	\int\:_{-1}^{2}(2+x-x^{2})dx
límite cuando x tiende a 1/3 de (x+1)/(x+2)	\lim\:_{x\to\:\frac{1}{3}}(\frac{x+1}{x+2})
límite cuando x tiende a 3 de 1	\lim\:_{x\to\:3}(1)
derivada de sqrt(8x^2+1)	\frac{d}{dx}(\sqrt{8x^{2}+1})
derivada de (sin(2x)(cos(2x)))	\frac{d}{dx}((\sin(2x))(\cos(2x)))
(\partial)/(\partial x)(x^{0.9})	\frac{\partial\:}{\partial\:x}(x^{0.9})
inversalaplace 1/(1-LS)	inverselaplace\:\frac{1}{1-LS}
derivada de (-9/(x^2))	\frac{d}{dx}(\frac{-9}{x^{2}})
integral de e^{-2t}	\int\:e^{-2t}dt
y^'-8/x y=(y^4)/(x^{17)},y(1)=1	y^{\prime\:}-\frac{8}{x}y=\frac{y^{4}}{x^{17}},y(1)=1
límite cuando x tiende a 3+de-2/(x^2-9)	\lim\:_{x\to\:3+}(-\frac{2}{x^{2}-9})
integral de 5e^{-0.4x}	\int\:5e^{-0.4x}dx
tangent f(x)=7sec(x),\at x= pi/6	tangent\:f(x)=7\sec(x),\at\:x=\frac{π}{6}
xy^'+y=sqrt(x)	xy^{\prime\:}+y=\sqrt{x}
límite cuando x tiende a a de 1/0	\lim\:_{x\to\:a}(\frac{1}{0})
integral de 0 a 7 de sqrt(x^2+49)	\int\:_{0}^{7}\sqrt{x^{2}+49}dx
integral de (2/x+x/2)	\int\:(\frac{2}{x}+\frac{x}{2})dx
(\partial)/(\partial y)(x^2y^2)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2})
límite cuando w tiende a 0 de (1-cos(5w))/w	\lim\:_{w\to\:0}(\frac{1-\cos(5w)}{w})
integral de 1 a 2 de (4x^3-6x)	\int\:_{1}^{2}(4x^{3}-6x)dx
integral de 0 a x de (2x-y)	\int\:_{0}^{x}(2x-y)dy
integral de (1+3x)^2	\int\:(1+3x)^{2}dx
serie de n=1 a infinity de arctan(15n)	\sum\:_{n=1}^{\infty\:}\arctan(15n)
tangent f(x)=6x^2+6,\at x=-2	tangent\:f(x)=6x^{2}+6,\at\:x=-2
derivative (3x-1)(x-2)^4	derivative\:(3x-1)(x-2)^{4}
integral de (x^2)/(sqrt(x^2+18))	\int\:\frac{x^{2}}{\sqrt{x^{2}+18}}dx
límite cuando x tiende a 3 de (x-4)/(x^2-9)	\lim\:_{x\to\:3}(\frac{x-4}{x^{2}-9})
derivada de (2x^2+7^5)	\frac{d}{dx}((2x^{2}+7)^{5})
(\partial)/(\partial x)(ln(e^x+xy^3))	\frac{\partial\:}{\partial\:x}(\ln(e^{x}+xy^{3}))
d/(ds)(ln(1+1/(s^2)))	\frac{d}{ds}(\ln(1+\frac{1}{s^{2}}))
integral de (2^x+x)^2	\int\:(2^{x}+x)^{2}dx
integral de cos((pix)/2)	\int\:\cos(\frac{πx}{2})dx
(dy)/(dx)=16xsec^2(4x)	\frac{dy}{dx}=16x\sec^{2}(4x)
derivada de ysinh(x^2)	\frac{d}{dx}(y\sinh(x^{2}))
derivada de log_{2}(x^{2x})	\frac{d}{dx}(\log_{2}(x^{2x}))
serie de n=0 a infinity de n(-1)^n	\sum\:_{n=0}^{\infty\:}n(-1)^{n}
(\partial)/(\partial u)(u*v)	\frac{\partial\:}{\partial\:u}(u\cdot\:v)
y^{''}+4y^'+5y=0	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=0
derivative y=1.73sin(33pix)	derivative\:y=1.73\sin(33πx)
derivada de cos(kx+b)	\frac{d}{dx}(\cos(kx+b))
y+xy^'=2e^{2x}	y+xy^{\prime\:}=2e^{2x}
derivada de 1/4 sin^2(2x)	\frac{d}{dx}(\frac{1}{4}\sin^{2}(2x))
(dy)/(dx)=((y^2+2xy))/(x^2)	\frac{dy}{dx}=\frac{(y^{2}+2xy)}{x^{2}}
serie de n=1 a infinity de 3e^{-5n}	\sum\:_{n=1}^{\infty\:}3e^{-5n}
tangent f(x)=9+4x^2-2x^3,\at x=2	tangent\:f(x)=9+4x^{2}-2x^{3},\at\:x=2
tangent f(x)=1+sqrt(4+x^2),\at x=0	tangent\:f(x)=1+\sqrt{4+x^{2}},\at\:x=0
f(x)=8x^2	f(x)=8x^{2}
simplificar f(2)	simplify\:f(2)
derivative 1/(2sqrt(9))	derivative\:\frac{1}{2\sqrt{9}}
integral de (x^3)/((x^4+1))	\int\:\frac{x^{3}}{(x^{4}+1)}dx
integral de 1/((x^2-9)^2)	\int\:\frac{1}{(x^{2}-9)^{2}}dx
derivada de 3sqrt(x-8)	\frac{d}{dx}(3\sqrt{x-8})
tangent f(x)=(1+3x)^{10},\at x=0	tangent\:f(x)=(1+3x)^{10},\at\:x=0
límite cuando x tiende a 2 de x^2+4x	\lim\:_{x\to\:2}(x^{2}+4x)
2y(dy)/(dx)+2=y^2+2x	2y\frac{dy}{dx}+2=y^{2}+2x
derivada de (2x-2^3(3x-1)^2)	\frac{d}{dx}((2x-2)^{3}(3x-1)^{2})
límite cuando x tiende a 0+de (1-ln(x))/(e^{1/x)}	\lim\:_{x\to\:0+}(\frac{1-\ln(x)}{e^{\frac{1}{x}}})
derivada de 2x^2y-x^3	\frac{d}{dx}(2x^{2}y-x^{3})
derivada de 3/(2x+5)	\frac{d}{dx}(\frac{3}{2x+5})
(\partial)/(\partial x)(sqrt(y^2-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{y^{2}-x^{2}})
inversalaplace 1+1/(s(s+2))	inverselaplace\:1+\frac{1}{s(s+2)}
derivative (1-4x)/(2+x)	derivative\:\frac{1-4x}{2+x}
integral de 0 a 1 de pi(2x)^2	\int\:_{0}^{1}π(2x)^{2}dx
integral de (2s-8)/((s^2-8s+25)^2)	\int\:\frac{2s-8}{(s^{2}-8s+25)^{2}}ds
(9y^2-t^2)/(y^5)(dy)/(dt)+t/(2y^4)=0	\frac{9y^{2}-t^{2}}{y^{5}}\frac{dy}{dt}+\frac{t}{2y^{4}}=0
(dy)/(dx)-y=e^x*y^2	\frac{dy}{dx}-y=e^{x}\cdot\:y^{2}
integral de 4 a infinity de 5e^{-y/2}	\int\:_{4}^{\infty\:}5e^{-\frac{y}{2}}dy
integral de x/(x+2y)	\int\:\frac{x}{x+2y}dx
derivative (x^2-1)/(sqrt(x^3))	derivative\:\frac{x^{2}-1}{\sqrt{x^{3}}}
(dv)/(dt)=2.1-(7v)/(2180),v(0)=0	\frac{dv}{dt}=2.1-\frac{7v}{2180},v(0)=0
tangent f(x)=-2x^3,\at x=2	tangent\:f(x)=-2x^{3},\at\:x=2
d/(dz)((z^2)/((z-2i)^2))	\frac{d}{dz}(\frac{z^{2}}{(z-2i)^{2}})
derivada de (1+2sin(x)sin(x))	\frac{d}{dx}((1+2\sin(x))\sin(x))
integral de (xarctan(x))/((1+x^2)^2)	\int\:\frac{x\arctan(x)}{(1+x^{2})^{2}}dx
integral de 0 a 1 de 2pi(x+8)x^2	\int\:_{0}^{1}2π(x+8)x^{2}dx
límite cuando x tiende a-2 de-3x^2-6x+4	\lim\:_{x\to\:-2}(-3x^{2}-6x+4)
derivative sin(5)x^2	derivative\:\sin(5)x^{2}
derivada de (3x-5/(2x+4))	\frac{d}{dx}(\frac{3x-5}{2x+4})
(dy)/(dx)=sqrt(8y)e^{x+10}	\frac{dy}{dx}=\sqrt{8y}e^{x+10}
integral de 4t	\int\:4tdt
(\partial)/(\partial x)((2xy^2)/(x^2+y^4))	\frac{\partial\:}{\partial\:x}(\frac{2xy^{2}}{x^{2}+y^{4}})
integral de (7x+4)/(x^3+4x^2)	\int\:\frac{7x+4}{x^{3}+4x^{2}}dx
y^'+3(tan(3x))y=7cos(3x)	y^{\prime\:}+3(\tan(3x))y=7\cos(3x)
integral de (\sqrt[12]{x}+\sqrt[13]{x})	\int\:(\sqrt[12]{x}+\sqrt[13]{x})dx
límite cuando x tiende a 1 de (1-x)^{ln(x)}	\lim\:_{x\to\:1}((1-x)^{\ln(x)})

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