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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial x)(1/(xy))	\frac{\partial\:}{\partial\:x}(\frac{1}{xy})
integral de e^{3-4x}	\int\:e^{3-4x}dx
7y^{''}+13y^'-2y=0	7y^{\prime\:\prime\:}+13y^{\prime\:}-2y=0
límite cuando x tiende a (pi/2)+de 6e^{tan(x)}	\lim\:_{x\to\:(\frac{π}{2})+}(6e^{\tan(x)})
simplificar 2t^{-1/4}	simplify\:2t^{-\frac{1}{4}}
área x^{1/3}-x^{1/2},[1,27]	area\:x^{\frac{1}{3}}-x^{\frac{1}{2}},[1,27]
integral de cos(arcsin(x))	\int\:\cos(\arcsin(x))dx
integral de 0 a pi de cos^4(2x)	\int\:_{0}^{π}\cos^{4}(2x)dx
derivada de 8x^3-2x	\frac{d}{dx}(8x^{3}-2x)
límite cuando x tiende a+1000 de 18pi^2	\lim\:_{x\to\:+1000}(18π^{2})
(\partial)/(\partial r)(e^{r^2}cos(θ))	\frac{\partial\:}{\partial\:r}(e^{r^{2}}\cos(θ))
simplificar-(3x)/(2y)	simplify\:-\frac{3x}{2y}
derivada de arccsc(3x)	\frac{d}{dx}(\arccsc(3x))
integral de ((x^{-1/2})/(1+x^{1/2)})	\int\:(\frac{x^{-\frac{1}{2}}}{1+x^{\frac{1}{2}}})dx
integral de (tan(5x)+csc^3(3θ))	\int\:(\tan(5x)+\csc^{3}(3θ))dθ
pendiente (-2,0),(-3,-3)	slope\:(-2,0),(-3,-3)
integral de (sec^2(x)+1)	\int\:(\sec^{2}(x)+1)dx
y^{''}=-x	y^{\prime\:\prime\:}=-x
laplacetransformación F(x)=e^{2x}cos(2x)	laplacetransform\:F(x)=e^{2x}\cos(2x)
derivative (4x^2+5)/(x^2+9)	derivative\:\frac{4x^{2}+5}{x^{2}+9}
integral de t*e^{-2t}	\int\:t\cdot\:e^{-2t}dt
integral de (2x^2)/3	\int\:\frac{2x^{2}}{3}dx
integral de sin(12x)\sqrt[3]{cos(12x)}	\int\:\sin(12x)\sqrt[3]{\cos(12x)}dx
derivative 2sqrt(t^3)	derivative\:2\sqrt{t^{3}}
integral de 5xe^{3x^2}	\int\:5xe^{3x^{2}}dx
integral de 1/(x(ln(x^2))^8)	\int\:\frac{1}{x(\ln(x^{2}))^{8}}dx
integral de 7sin(x)cos(x)	\int\:7\sin(x)\cos(x)dx
d/(dt)((csc^2(t))/(-cot(t)(csc(t))))	\frac{d}{dt}(\frac{\csc^{2}(t)}{-\cot(t)(\csc(t))})
derivada de (xcos(x+sin(x))/(x^2+1))	\frac{d}{dx}(\frac{x\cos(x)+\sin(x)}{x^{2}+1})
integral de 2x^3+7	\int\:2x^{3}+7dx
serie de n=1 a infinity de tan(1/n)	\sum\:_{n=1}^{\infty\:}\tan(\frac{1}{n})
serie de n=0 a infinity de 1/(ln(n+1))	\sum\:_{n=0}^{\infty\:}\frac{1}{\ln(n+1)}
serie de n=0 a infinity de 10	\sum\:_{n=0}^{\infty\:}10
límite cuando x tiende a-5 de \|x-5\|	\lim\:_{x\to\:-5}(\left\|x-5\right\|)
integral de x/(sqrt(a^2+x^2))	\int\:\frac{x}{\sqrt{a^{2}+x^{2}}}dx
y^'+3x^2y=10x^2	y^{\prime\:}+3x^{2}y=10x^{2}
(\partial)/(\partial y)(2x^3y-4)	\frac{\partial\:}{\partial\:y}(2x^{3}y-4)
((t^2+1)dy)/(dt)+ty=0,y(0)=3	\frac{(t^{2}+1)dy}{dt}+ty=0,y(0)=3
derivada de (x^2-xe^{-x})	\frac{d}{dx}((x^{2}-x)e^{-x})
límite cuando x tiende a 0 de sin^2(3x)	\lim\:_{x\to\:0}(\sin^{2}(3x))
(\partial)/(\partial x)(x^2y-y^2-2x^2)	\frac{\partial\:}{\partial\:x}(x^{2}y-y^{2}-2x^{2})
derivada de 3+sqrt(5x)	\frac{d}{dx}(3+\sqrt{5x})
(\partial)/(\partial x)(4x+cy+2z)	\frac{\partial\:}{\partial\:x}(4x+cy+2z)
integral de x^3(1+x^2)^{-1/2}	\int\:x^{3}(1+x^{2})^{-\frac{1}{2}}dx
límite cuando x tiende a 0 de (x-sin(2x))/x	\lim\:_{x\to\:0}(\frac{x-\sin(2x)}{x})
integral de sin(x)(cot(x)+csc(x))	\int\:\sin(x)(\cot(x)+\csc(x))dx
derivative sqrt(2t+3)	derivative\:\sqrt{2t+3}
integral de sin(x)(2-3cos(x))^2	\int\:\sin(x)(2-3\cos(x))^{2}dx
integral de cos(5t)e^t	\int\:\cos(5t)e^{t}dt
integral de xsin(3x^2)	\int\:x\sin(3x^{2})dx
integral de-infinity a-1 de x^{-7/3}	\int\:_{-\infty\:}^{-1}x^{-\frac{7}{3}}dx
integral de tan^2(θ)	\int\:\tan^{2}(θ)dθ
derivada de cos(pixpi)	\frac{d}{dx}(\cos(πx)π)
integral de (2+x)/((x-5)(x+1))	\int\:\frac{2+x}{(x-5)(x+1)}dx
integral de 1/(e^{ax)}	\int\:\frac{1}{e^{ax}}dx
inversalaplace 1/s-1/(s+1)	inverselaplace\:\frac{1}{s}-\frac{1}{s+1}
(d^3)/(dx^3)(sqrt(4t+3))	\frac{d^{3}}{dx^{3}}(\sqrt{4t+3})
derivative f(x)=5x-2	derivative\:f(x)=5x-2
derivative f(x)=(5x^3+1)/(2x-3)	derivative\:f(x)=\frac{5x^{3}+1}{2x-3}
integral de (6sec(x)-cos(x))^2	\int\:(6\sec(x)-\cos(x))^{2}dx
integral de (5t-3)/(t+1)	\int\:\frac{5t-3}{t+1}dt
serie de n=0 a infinity de 1/((2n+1)!)	\sum\:_{n=0}^{\infty\:}\frac{1}{(2n+1)!}
(\partial)/(\partial x)(2xe^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(2xe^{\sqrt{xy}})
serie de n=1 a infinity de (n(n+1))/2	\sum\:_{n=1}^{\infty\:}\frac{n(n+1)}{2}
integral de e^{-t(s+3)}	\int\:e^{-t(s+3)}dt
derivative y= 3/(x^3)	derivative\:y=\frac{3}{x^{3}}
límite cuando x tiende a 6 de (3x)/(x^2-6x)	\lim\:_{x\to\:6}(\frac{3x}{x^{2}-6x})
taylor cos(x)*e^x	taylor\:\cos(x)\cdot\:e^{x}
inversalaplace (1+2s^2)/(s^2(s+4))	inverselaplace\:\frac{1+2s^{2}}{s^{2}(s+4)}
integral de 1 a infinity de sqrt(x)	\int\:_{1}^{\infty\:}\sqrt{x}dx
(\partial)/(\partial x)(1+ln(y)+x/y)	\frac{\partial\:}{\partial\:x}(1+\ln(y)+\frac{x}{y})
(dy)/(dx)= y/x+3x+7	\frac{dy}{dx}=\frac{y}{x}+3x+7
factorizar 3x^4-12x^3	factor\:3x^{4}-12x^{3}
derivada de sin^5(x/3)	\frac{d}{dx}(\sin^{5}(\frac{x}{3}))
integral de 1/(x^2sqrt(8-x^2))	\int\:\frac{1}{x^{2}\sqrt{8-x^{2}}}dx
integral de x/((x+4)^2)	\int\:\frac{x}{(x+4)^{2}}dx
integral de x/(x+3)	\int\:\frac{x}{x+3}dx
(\partial)/(\partial y)(x+e^y)	\frac{\partial\:}{\partial\:y}(x+e^{y})
límite cuando t tiende a 3 de 2t^{-1}	\lim\:_{t\to\:3}(2t^{-1})
derivada de (5+6x-8sqrt(x)/x)	\frac{d}{dx}(\frac{5+6x-8\sqrt{x}}{x})
(d^2)/(dx^2)(e^{2/x})	\frac{d^{2}}{dx^{2}}(e^{\frac{2}{x}})
integral de ((x^2-x+28))/(x^3+7x)	\int\:\frac{(x^{2}-x+28)}{x^{3}+7x}dx
(\partial)/(\partial y)(3x^2y^2-4y)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{2}-4y)
(\partial)/(\partial x)(te^{s/t})	\frac{\partial\:}{\partial\:x}(te^{\frac{s}{t}})
integral de 7x(x^3+6)	\int\:7x(x^{3}+6)dx
d/(dt)(1-e^{-t})	\frac{d}{dt}(1-e^{-t})
(\partial)/(\partial x)(insqrt(xy))	\frac{\partial\:}{\partial\:x}(in\sqrt{xy})
y^'(t)=(y-1)(y+1),y(0)=3	y^{\prime\:}(t)=(y-1)(y+1),y(0)=3
límite cuando x tiende a 14 de 7-tan(7)	\lim\:_{x\to\:14}(7-\tan(7))
integral de sin(1-3x)	\int\:\sin(1-3x)dx
integral de 1/(9x^6)	\int\:\frac{1}{9x^{6}}dx
integral de (5x^3-6x+4)/(x^3-x^2)	\int\:\frac{5x^{3}-6x+4}{x^{3}-x^{2}}dx
derivada de 2x^{3/2}+3	\frac{d}{dx}(2x^{\frac{3}{2}}+3)
derivative (arctan(3x))^2	derivative\:(\arctan(3x))^{2}
derivada de 15sin(-pixtan(2/3 pix))	\frac{d}{dx}(15\sin(-πx)\tan(\frac{2}{3}πx))
integral de-1 a 1 de (x)	\int\:_{-1}^{1}(x)dx
integral de (2-v)/(v^2+2v-3)	\int\:\frac{2-v}{v^{2}+2v-3}dv
(dy)/(dx)+(2/x)y=8x	\frac{dy}{dx}+(\frac{2}{x})y=8x
(\partial)/(\partial x)(x^3+axy^2)	\frac{\partial\:}{\partial\:x}(x^{3}+axy^{2})
límite cuando x tiende a-infinity de (4arctan(8x))/(e^x+2)	\lim\:_{x\to\:-\infty\:}(\frac{4\arctan(8x)}{e^{x}+2})

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