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Problemas populares

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Problemas populares de Cálculo

integral de 1 a e de ((ln(x))^2)/x	\int\:_{1}^{e}\frac{(\ln(x))^{2}}{x}dx
límite cuando x tiende a 0 de 1/(x(x+1))	\lim\:_{x\to\:0}(\frac{1}{x(x+1)})
integral de 0 a 9 de 6/((x-1)^{1/3)}	\int\:_{0}^{9}\frac{6}{(x-1)^{\frac{1}{3}}}dx
derivative sqrt(10x)	derivative\:\sqrt{10x}
integral de 2/3	\int\:\frac{2}{3}dx
tangent y=x^2+7,(-4,23)	tangent\:y=x^{2}+7,(-4,23)
derivative (f(x)g(x))/(f(x)-g(x))	derivative\:\frac{f(x)g(x)}{f(x)-g(x)}
y^'=5y+a	y^{\prime\:}=5y+a
derivada de cos(4x^3)	\frac{d}{dx}(\cos(4x^{3}))
y^'+y/(2+3t)=3	y^{\prime\:}+\frac{y}{2+3t}=3
integral de (e^{2x})/(e^x+e^{-x)}	\int\:\frac{e^{2x}}{e^{x}+e^{-x}}dx
integral de (x^2-1)sin(2x)	\int\:(x^{2}-1)\sin(2x)dx
d/(dm)(im)	\frac{d}{dm}(im)
derivative y=(15)/(ln(x))	derivative\:y=\frac{15}{\ln(x)}
derivada de 8e^{x/2}	\frac{d}{dx}(8e^{\frac{x}{2}})
derivative 4^{-x}	derivative\:4^{-x}
(d^2)/(dx^2)(ln(1+x^2))	\frac{d^{2}}{dx^{2}}(\ln(1+x^{2}))
integral de 0 a 5 de 2xe^{-2x}	\int\:_{0}^{5}2xe^{-2x}dx
integral de 16xln(2x)	\int\:16x\ln(2x)dx
derivada de (cos(2x)/2)	\frac{d}{dx}(\frac{\cos(2x)}{2})
integral de sqrt(1+(-(2x)/(1-x^2))^2)	\int\:\sqrt{1+(-\frac{2x}{1-x^{2}})^{2}}dx
serie de n=1 a infinity de 1/(9^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{9^{n}}
derivada de sqrt((x-1/(x+1)))	\frac{d}{dx}(\sqrt{\frac{x-1}{x+1}})
integral de 0 a 1 de \|3x-2\|	\int\:_{0}^{1}\left\|3x-2\right\|dx
límite cuando x tiende a 4 de (\|3-x\|)/(3-x)	\lim\:_{x\to\:4}(\frac{\left\|3-x\right\|}{3-x})
integral de 0 a pi/4 de cos^2(x)	\int\:_{0}^{\frac{π}{4}}\cos^{2}(x)dx
(\partial)/(\partial y)(4e^y)	\frac{\partial\:}{\partial\:y}(4e^{y})
4y^{''}+7y^'-2y=0	4y^{\prime\:\prime\:}+7y^{\prime\:}-2y=0
integral de ((x+1))/(x^2)	\int\:\frac{(x+1)}{x^{2}}dx
d/(dy)(ln(y)-(y^2)/8)	\frac{d}{dy}(\ln(y)-\frac{y^{2}}{8})
integral de cos(\sqrt[4]{x})	\int\:\cos(\sqrt[4]{x})dx
integral de (x+2)/(x^2-6x+5)	\int\:\frac{x+2}{x^{2}-6x+5}dx
inversalaplace 2/(s^2+3s-4)	inverselaplace\:\frac{2}{s^{2}+3s-4}
laplacetransformación 1/3 t-2(1-e^{-t/4})	laplacetransform\:\frac{1}{3}t-2(1-e^{-\frac{t}{4}})
derivative pisin(2pix)	derivative\:π\sin(2πx)
(t^2+1)((dy)/(dt))=2y	(t^{2}+1)(\frac{dy}{dt})=2y
área (x+5)^2, 1/3 x+3,-10,-5	area\:(x+5)^{2},\frac{1}{3}x+3,-10,-5
integral de (1-x^9)	\int\:(1-x^{9})dx
integral de 1/(-x^2-10x-21)	\int\:\frac{1}{-x^{2}-10x-21}dx
derivative (x+4)(x-5)^2	derivative\:(x+4)(x-5)^{2}
inversalaplace (s+1)/((s+2)(s+6)^2)	inverselaplace\:\frac{s+1}{(s+2)(s+6)^{2}}
tangent f(x)=x^3-2x+7,\at x=-2	tangent\:f(x)=x^{3}-2x+7,\at\:x=-2
derivative x^4-2x^2+5	derivative\:x^{4}-2x^{2}+5
serie de n=1 a infinity de 8e^{-6n}	\sum\:_{n=1}^{\infty\:}8e^{-6n}
(y^'-e^{-t}+4)/y =-4	\frac{y^{\prime\:}-e^{-t}+4}{y}=-4
integral de sec(x)tan(x)-5e^x	\int\:\sec(x)\tan(x)-5e^{x}dx
(\partial)/(\partial y)((-x)/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{-x}{x^{2}+y^{2}})
sin(xy)dx=2xdy+2ydx	\sin(xy)dx=2xdy+2ydx
integral de (x^2)/(x+2)	\int\:\frac{x^{2}}{x+2}dx
derivada de (((x^2+2x)/(x+1))^5)	\frac{d}{dx}((\frac{(x^{2}+2x)}{x+1})^{5})
(\partial)/(\partial x)(yarcsin(x/y))	\frac{\partial\:}{\partial\:x}(y\arcsin(\frac{x}{y}))
límite cuando x tiende a-infinity de (\sqrt[4]{x^4-3}+6x)/(1-2x)	\lim\:_{x\to\:-\infty\:}(\frac{\sqrt[4]{x^{4}-3}+6x}{1-2x})
integral de p^3ln(p)	\int\:p^{3}\ln(p)dp
área y=x^4,y=x^2	area\:y=x^{4},y=x^{2}
límite cuando x tiende a 4-de (4x)/(x-4)	\lim\:_{x\to\:4-}(\frac{4x}{x-4})
derivada de x/y+y/x	\frac{d}{dx}(\frac{x}{y}+\frac{y}{x})
integral de 2 a 4 de (x^2+2)^3	\int\:_{2}^{4}(x^{2}+2)^{3}dx
y^{''}+y=t,y(0)=1,y(1)=-2	y^{\prime\:\prime\:}+y=t,y(0)=1,y(1)=-2
límite cuando h tiende a 0 de ((3+h)^4-81)/h	\lim\:_{h\to\:0}(\frac{(3+h)^{4}-81}{h})
derivada de 1/(2sqrt(x)+1/(8x^{7/8)})	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{8x^{\frac{7}{8}}})
laplacetransformación e^{-2t}(2cos(3t)-sin(3t))	laplacetransform\:e^{-2t}(2\cos(3t)-\sin(3t))
límite cuando x tiende a infinity de 5/x	\lim\:_{x\to\:\infty\:}(\frac{5}{x})
integral de 1 a 4 de (x+4)/(2sqrt(x))	\int\:_{1}^{4}\frac{x+4}{2\sqrt{x}}dx
derivative 6x(x^2+1)^2	derivative\:6x(x^{2}+1)^{2}
x^'	x^{\prime\:}
área 1-5,2x^2+11,0	area\:1-5,2x^{2}+11,0
integral de 31sec^{-2}(xta)n^3x	\int\:31\sec^{-2}(xta)n^{3}xdx
integral de (sec(x)-tan(x))^2	\int\:(\sec(x)-\tan(x))^{2}dx
(d^2)/(dx^2)(\sqrt[4]{x^5}-3/(x^2))	\frac{d^{2}}{dx^{2}}(\sqrt[4]{x^{5}}-\frac{3}{x^{2}})
(\partial)/(\partial x)(5sqrt(y/x))	\frac{\partial\:}{\partial\:x}(5\sqrt{\frac{y}{x}})
límite cuando x tiende a 0-de x/(3x^4-15x)	\lim\:_{x\to\:0-}(\frac{x}{3x^{4}-15x})
tangent f(x)=(1-x)(x^2-3)2,(2,-1)	tangent\:f(x)=(1-x)(x^{2}-3)2,(2,-1)
integral de 0 a pi de pi(3sin^2(x))^2	\int\:_{0}^{π}π(3\sin^{2}(x))^{2}dx
(\partial)/(\partial z)(e^{xy}*sin(z))	\frac{\partial\:}{\partial\:z}(e^{xy}\cdot\:\sin(z))
límite cuando x tiende a 0 de 3/(x^3)	\lim\:_{x\to\:0}(\frac{3}{x^{3}})
integral de sin(t)k	\int\:\sin(t)kdt
integral de 2 a 6 de x^2 1/8 (x-2)	\int\:_{2}^{6}x^{2}\frac{1}{8}(x-2)dx
y^'=0.5-t+2y,y(0)=1	y^{\prime\:}=0.5-t+2y,y(0)=1
límite cuando x tiende a 0 de-8p-4h-7	\lim\:_{x\to\:0}(-8p-4h-7)
integral de b a 1 de 4ln(x)	\int\:_{b}^{1}4\ln(x)dx
(dy)/(dx)+(4/x)y=2x+1	\frac{dy}{dx}+(\frac{4}{x})y=2x+1
derivada de xe^x-x	\frac{d}{dx}(xe^{x}-x)
maclaurin (3+x^2)^{-1}	maclaurin\:(3+x^{2})^{-1}
serie de n=0 a infinity de e^{(-2n)}	\sum\:_{n=0}^{\infty\:}e^{(-2n)}
límite cuando x tiende a 0 de 2^{-1/(x^2)}	\lim\:_{x\to\:0}(2^{-\frac{1}{x^{2}}})
(\partial)/(\partial x)(xy+yz+zx)	\frac{\partial\:}{\partial\:x}(xy+yz+zx)
(\partial)/(\partial y)(sqrt(x^2y-xy^2))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}y-xy^{2}})
4y^{''}-12y^'+9y=0,y(0)=3,y^'(0)=5	4y^{\prime\:\prime\:}-12y^{\prime\:}+9y=0,y(0)=3,y^{\prime\:}(0)=5
límite cuando n tiende a infinity de (ln(n))/(ln(2n))	\lim\:_{n\to\:\infty\:}(\frac{\ln(n)}{\ln(2n)})
integral de 1/((x-3)(x+4))	\int\:\frac{1}{(x-3)(x+4)}dx
límite cuando x tiende a 0 de x^0	\lim\:_{x\to\:0}(x^{0})
derivative f(x)= 1/(sqrt(x-3))	derivative\:f(x)=\frac{1}{\sqrt{x-3}}
integral de (e^{2x})^2	\int\:(e^{2x})^{2}dx
integral de (2+2cos(x))^2	\int\:(2+2\cos(x))^{2}dx
integral de 0 a pi de 9sin(x)	\int\:_{0}^{π}9\sin(x)dx
derivada de (x^{12}/(x^2))	\frac{d}{dx}(\frac{x^{12}}{x^{2}})
y^'=x^2*(1+y)	y^{\prime\:}=x^{2}\cdot\:(1+y)
serie de n=1 a infinity de n(1/2)^n	\sum\:_{n=1}^{\infty\:}n(\frac{1}{2})^{n}
integral de cos(3x)e^{2x}	\int\:\cos(3x)e^{2x}dx
derivative f(x)=x^5e^{8x}	derivative\:f(x)=x^{5}e^{8x}

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