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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial r)(rsin(x))	\frac{\partial\:}{\partial\:r}(r\sin(x))
(dy)/(dx)=8x^7cos^2(y)	\frac{dy}{dx}=8x^{7}\cos^{2}(y)
derivative f(x)=8(x^3-x)^4	derivative\:f(x)=8(x^{3}-x)^{4}
y^{''}+2y=10	y^{\prime\:\prime\:}+2y=10
inversalaplace ((s+1))/(s^2+s+1)	inverselaplace\:\frac{(s+1)}{s^{2}+s+1}
(dy)/(dx)=xe^{-y}	\frac{dy}{dx}=xe^{-y}
integral de 7 a 15 de ln(x^2)	\int\:_{7}^{15}\ln(x^{2})dx
y^'=(x^8-2y)/x	y^{\prime\:}=\frac{x^{8}-2y}{x}
derivative ln(csc(x)-cot(x))	derivative\:\ln(\csc(x)-\cot(x))
integral de (x+5)/(x^2-16)	\int\:\frac{x+5}{x^{2}-16}dx
límite cuando x tiende a 0 de x^{x^6}	\lim\:_{x\to\:0}(x^{x^{6}})
derivative f(x)=(x^6)/(8^x)	derivative\:f(x)=\frac{x^{6}}{8^{x}}
(\partial)/(\partial x)(4x^2cos(xy))	\frac{\partial\:}{\partial\:x}(4x^{2}\cos(xy))
derivada de (20x/((x^2-4)^2))	\frac{d}{dx}(\frac{20x}{(x^{2}-4)^{2}})
integral de 6/(sqrt(x^2-4))	\int\:\frac{6}{\sqrt{x^{2}-4}}dx
y^'=b(1-y)y	y^{\prime\:}=b(1-y)y
derivative 247x-19x^2	derivative\:247x-19x^{2}
integral de {y(2ax+by)}	\int\:\left\{y(2ax+by)\right\}dx
límite cuando x tiende a-3 de 2/(x+3)	\lim\:_{x\to\:-3}(\frac{2}{x+3})
derivada de (x^2-2x+5/(x^2+2x-3))	\frac{d}{dx}(\frac{x^{2}-2x+5}{x^{2}+2x-3})
integral de (4x^5-4)/(x^2-4)	\int\:\frac{4x^{5}-4}{x^{2}-4}dx
serie de n=1 a infinity de n/(1+n^2)	\sum\:_{n=1}^{\infty\:}\frac{n}{1+n^{2}}
(\partial)/(\partial y)(ln(e^x+e^y))	\frac{\partial\:}{\partial\:y}(\ln(e^{x}+e^{y}))
y^{''}+8y^'+41y=0	y^{\prime\:\prime\:}+8y^{\prime\:}+41y=0
derivative arccos(1-x^2)	derivative\:\arccos(1-x^{2})
derivada de ((x-1)/2)	\frac{d}{dx}(\frac{(x-1)}{2})
integral de 1/(7-4x-x^2)	\int\:\frac{1}{7-4x-x^{2}}dx
inversalaplace ((s+1))/((s^2+2s+9))	inverselaplace\:\frac{(s+1)}{(s^{2}+2s+9)}
área x=3y,x=2+y^2	area\:x=3y,x=2+y^{2}
derivative 6u^{-1}	derivative\:6u^{-1}
límite cuando x tiende a 0 de ((e^x))/x	\lim\:_{x\to\:0}(\frac{(e^{x})}{x})
derivative 38xe^{x^2}	derivative\:38xe^{x^{2}}
(\partial)/(\partial y)(sqrt(5-2x^2-y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{5-2x^{2}-y^{2}})
y^{''}+4y=16sec(2t)	y^{\prime\:\prime\:}+4y=16\sec(2t)
d/(dt)(4t^3)	\frac{d}{dt}(4t^{3})
integral de 0 a pi/2 de cos^5(x)	\int\:_{0}^{\frac{π}{2}}\cos^{5}(x)dx
tangent 2x^4+(3x)/5 ,\at x=0	tangent\:2x^{4}+\frac{3x}{5},\at\:x=0
integral de (2+2x)e^{(4x+2x^2)}	\int\:(2+2x)e^{(4x+2x^{2})}dx
integral de 0 a 1 de (4x^3)/(1+x^4)	\int\:_{0}^{1}\frac{4x^{3}}{1+x^{4}}dx
8y^{''}+34y=0,y(0)=2,y^'(0)=7	8y^{\prime\:\prime\:}+34y=0,y(0)=2,y^{\prime\:}(0)=7
integral de-4y	\int\:-4ydy
f^'(x)=sin(x)	f^{\prime\:}(x)=\sin(x)
integral de 2 a infinity de xe^{-3x}	\int\:_{2}^{\infty\:}xe^{-3x}dx
d/(dt)(5t^2x)	\frac{d}{dt}(5t^{2}x)
integral de u^4	\int\:u^{4}du
límite cuando x tiende a 0-de (x^2)/3-1/x	\lim\:_{x\to\:0-}(\frac{x^{2}}{3}-\frac{1}{x})
y^{'''}+6y^{''}+45y^'=0	y^{\prime\:\prime\:\prime\:}+6y^{\prime\:\prime\:}+45y^{\prime\:}=0
y-x+xy^'=0	y-x+xy^{\prime\:}=0
integral de 3 a x^3 de t^4	\int\:_{3}^{x^{3}}t^{4}dt
integral de 0 a 2 de sqrt(2x-x^2)	\int\:_{0}^{2}\sqrt{2x-x^{2}}dx
(\partial}{\partial y}(\frac{(2x+y))/z)	\frac{\partial\:}{\partial\:y}(\frac{(2x+y)}{z})
tangent f(x)= 4/(sqrt(x)),(4,2)	tangent\:f(x)=\frac{4}{\sqrt{x}},(4,2)
derivative 4e^{4x}	derivative\:4e^{4x}
derivative 6x+5	derivative\:6x+5
integral de 0 a pi/6 de cos(9x)	\int\:_{0}^{\frac{π}{6}}\cos(9x)dx
integral de (cos(pi/(x^{11)}))/(x^{12)}	\int\:\frac{\cos(\frac{π}{x^{11}})}{x^{12}}dx
integral de r^3sqrt(1-r^2)	\int\:r^{3}\sqrt{1-r^{2}}dr
derivada de \sqrt[3]{(3x/(6x-5)})	\frac{d}{dx}(\sqrt[3]{\frac{3x}{6x-5}})
área y=sqrt(x),y=x^2,y=1	area\:y=\sqrt{x},y=x^{2},y=1
integral de (cos(pi/(x^3)))/(x^4)	\int\:\frac{\cos(\frac{π}{x^{3}})}{x^{4}}dx
derivative log_{4}(sec^2(5x^3-4x^2))	derivative\:\log_{4}(\sec^{2}(5x^{3}-4x^{2}))
integral de (2x-4+3sqrt(x))/(sqrt(x))	\int\:\frac{2x-4+3\sqrt{x}}{\sqrt{x}}dx
integral de 0 a 30 de 500	\int\:_{0}^{30}500dx
(y^3-1)e^xdx+3y^2(e^x+1)dy=0,y(0)=2	(y^{3}-1)e^{x}dx+3y^{2}(e^{x}+1)dy=0,y(0)=2
tangent f(x)=2(3x-8)^4-5x+6,\at x=3	tangent\:f(x)=2(3x-8)^{4}-5x+6,\at\:x=3
integral de 9cos^5(x)sin^4(x)	\int\:9\cos^{5}(x)\sin^{4}(x)dx
(\partial)/(\partial x)(2xy+3x-4y+1)	\frac{\partial\:}{\partial\:x}(2xy+3x-4y+1)
(\partial)/(\partial x)(xy^7-x^2y)	\frac{\partial\:}{\partial\:x}(xy^{7}-x^{2}y)
derivada de 10e^{2x}	\frac{d}{dx}(10e^{2x})
derivada de (x^2/(4x+1))	\frac{d}{dx}(\frac{x^{2}}{4x+1})
derivative f(x)=(2-x^2)/(3+x^2)	derivative\:f(x)=\frac{2-x^{2}}{3+x^{2}}
serie de n=1 a infinity de arctan(18n)	\sum\:_{n=1}^{\infty\:}\arctan(18n)
serie de n=0 a infinity de (1.1)^n	\sum\:_{n=0}^{\infty\:}(1.1)^{n}
derivative y=arctan(x^2+1)	derivative\:y=\arctan(x^{2}+1)
integral de 1/((2-x)(3-x))	\int\:\frac{1}{(2-x)(3-x)}dx
límite cuando x tiende a 5 de (x-25)/(x-5)	\lim\:_{x\to\:5}(\frac{x-25}{x-5})
xydx+y^2dy=0	xydx+y^{2}dy=0
derivative f(x)=x^3-4x+6	derivative\:f(x)=x^{3}-4x+6
derivada de (x^2/(1+e^x))	\frac{d}{dx}(\frac{x^{2}}{1+e^{x}})
integral de (10x^2)/(x^4-1)	\int\:\frac{10x^{2}}{x^{4}-1}dx
serie de n=5 a infinity de (4/5)^n	\sum\:_{n=5}^{\infty\:}(\frac{4}{5})^{n}
integral de 4x^3(4+x^4)^{1/3}	\int\:4x^{3}(4+x^{4})^{\frac{1}{3}}dx
derivative r/(sqrt(r^2+4))	derivative\:\frac{r}{\sqrt{r^{2}+4}}
x(dy)/(dx)=x^3+4x^3y	x\frac{dy}{dx}=x^{3}+4x^{3}y
serie de n=1 a infinity de (n5^n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{n5^{n}}{n!}
derivative 5tan(x)	derivative\:5\tan(x)
derivative sqrt(x)(x-14)	derivative\:\sqrt{x}(x-14)
límite cuando x tiende a 0 de e^{-x}	\lim\:_{x\to\:0}(e^{-x})
inversalaplace (s-1)/(s(s-1)+2)	inverselaplace\:\frac{s-1}{s(s-1)+2}
integral de e^{-(x/2)^2}	\int\:e^{-(\frac{x}{2})^{2}}dx
(\partial)/(\partial y)(3sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:y}(3\sqrt{x^{2}+y^{2}})
tangent y=(2x+1)^2	tangent\:y=(2x+1)^{2}
(d^3)/(dx^3)(cos(3x))	\frac{d^{3}}{dx^{3}}(\cos(3x))
integral de 1 a infinity de 1/(2^x)	\int\:_{1}^{\infty\:}\frac{1}{2^{x}}dx
tangent (2x^2+1)^3(x^2-4)^2	tangent\:(2x^{2}+1)^{3}(x^{2}-4)^{2}
integral de 0 a ln(3) de e^{4x}	\int\:_{0}^{\ln(3)}e^{4x}dx
integral de (4xy)	\int\:(4xy)dx
integral de 5xcos(5x)	\int\:5x\cos(5x)dx
f(x)=x^2-5x+3	f(x)=x^{2}-5x+3
integral de 4sin(y)	\int\:4\sin(y)dy

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