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Problemas populares

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Problemas populares de Cálculo

laplacetransformación e^{-t}cos(t)	laplacetransform\:e^{-t}\cos(t)
integral de-x/4	\int\:-\frac{x}{4}dx
implicit (dy)/(dx),xy^2=5	implicit\:\frac{dy}{dx},xy^{2}=5
derivada de log_{4}(x^3-7x+5)	\frac{d}{dx}(\log_{4}(x^{3}-7x+5))
integral de 0 a pi de-sin(x)	\int\:_{0}^{π}-\sin(x)dx
límite cuando x tiende a 0 de (sin(x))^{tan(x)}	\lim\:_{x\to\:0}((\sin(x))^{\tan(x)})
f(x)=sin(sin(x))	f(x)=\sin(\sin(x))
derivada de 1/4 x-1/6	\frac{d}{dx}(\frac{1}{4}x-\frac{1}{6})
integral de (8x^3-16x^2+5)/(x^2-2x)	\int\:\frac{8x^{3}-16x^{2}+5}{x^{2}-2x}dx
integral de e^{-sx}cos(x)	\int\:e^{-sx}\cos(x)dx
4(dy)/(dt)+y=36t,y(0)=6	4\frac{dy}{dt}+y=36t,y(0)=6
integral de-infinity a 2 de e^{-x}	\int\:_{-\infty\:}^{2}e^{-x}dx
derivative (sin(x))/(1+cos(x))	derivative\:\frac{\sin(x)}{1+\cos(x)}
límite cuando x tiende a 2 de x/(x^2-4)	\lim\:_{x\to\:2}(\frac{x}{x^{2}-4})
derivative (5x^2+4)(3x-2)	derivative\:(5x^{2}+4)(3x-2)
integral de xsin(nx)	\int\:x\sin(nx)dx
derivada de-2cot(x)	\frac{d}{dx}(-2\cot(x))
derivative 1/(7x^{6/7)}	derivative\:\frac{1}{7x^{\frac{6}{7}}}
taylor 8xe^x,0	taylor\:8xe^{x},0
integral de ln(x^2+y^2)	\int\:\ln(x^{2}+y^{2})dx
integral de 2sin(3t)	\int\:2\sin(3t)dt
integral de 2/(sqrt(1-(pix)^2))	\int\:\frac{2}{\sqrt{1-(πx)^{2}}}dx
derivada de {f}(x{f}(x)(x^2))	\frac{d}{dx}({f}(x){f}(x)(x^{2}))
límite cuando x tiende a 2 de (x-4)/(x-2)	\lim\:_{x\to\:2}(\frac{x-4}{x-2})
límite cuando x tiende a-infinity de x^3+x	\lim\:_{x\to\:-\infty\:}(x^{3}+x)
derivada de (tan(x)/(cos(x)-4))	\frac{d}{dx}(\frac{\tan(x)}{\cos(x)-4})
serie de n=1 a infinity de-5/(2^{n-1)}	\sum\:_{n=1}^{\infty\:}-\frac{5}{2^{n-1}}
límite cuando x tiende a infinity de 3	\lim\:_{x\to\:\infty\:}(3)
integral de (x+pi)	\int\:(x+π)dx
inversalaplace F(s)=((s+2)^2)/(s^3)	inverselaplace\:F(s)=\frac{(s+2)^{2}}{s^{3}}
derivative y=(x^2-8x)e^x	derivative\:y=(x^{2}-8x)e^{x}
derivative f(x)=(2x-4)/(x+1)	derivative\:f(x)=\frac{2x-4}{x+1}
integral de 1/(xsqrt(ax+b))	\int\:\frac{1}{x\sqrt{ax+b}}dx
derivative f(x)=(20x)/(x^2-5)	derivative\:f(x)=\frac{20x}{x^{2}-5}
derivative (2x^2+5x)/x	derivative\:\frac{2x^{2}+5x}{x}
inversalaplace 2/(s+2)	inverselaplace\:\frac{2}{s+2}
integral de (2x)/(sqrt(1-x^2))	\int\:\frac{2x}{\sqrt{1-x^{2}}}dx
derivative R(x)=[x^2(x^2+6x)]^4	derivative\:R(x)=[x^{2}(x^{2}+6x)]^{4}
derivada de tanh(1+e^{2x})	\frac{d}{dx}(\tanh(1+e^{2x}))
área y= 1/16 (e^{8x}+e^{-8x}),-4<= x<= 4	area\:y=\frac{1}{16}(e^{8x}+e^{-8x}),-4\le\:x\le\:4
(d^2)/(dx^2)(1/(x^2-1))	\frac{d^{2}}{dx^{2}}(\frac{1}{x^{2}-1})
integral de tcos(8t)	\int\:t\cos(8t)dt
integral de-y+1	\int\:-y+1dy
derivada de (4x^3+5x(x-3)(x+5))	\frac{d}{dx}((4x^{3}+5x)(x-3)(x+5))
derivada de 5arcsin(3x^3)	\frac{d}{dx}(5\arcsin(3)x^{3})
tangent 1/(sqrt(11x))	tangent\:\frac{1}{\sqrt{11x}}
derivative y=(1+1/x)^2	derivative\:y=(1+\frac{1}{x})^{2}
límite cuando x tiende a 1 de [f(x)+5g(x)]	\lim\:_{x\to\:1}([f(x)+5g(x)])
x+y(dy)/(dx)=x-y	x+y\frac{dy}{dx}=x-y
tangent f(x)=x^3-x,(1,0)	tangent\:f(x)=x^{3}-x,(1,0)
serie de n=0 a infinity de 1/(n(n+8))	\sum\:_{n=0}^{\infty\:}\frac{1}{n(n+8)}
inversalaplace 5/(s(2s+1))	inverselaplace\:\frac{5}{s\cdot\:(2\cdot\:s+1)}
3y^'-6y=12,y(0)=4	3y^{\prime\:}-6y=12,y(0)=4
integral de-3 a 0 de x^2-4x+7	\int\:_{-3}^{0}x^{2}-4x+7dx
integral de x(-4-7x^4)	\int\:x(-4-7x^{4})dx
6t(dy)/(dt)+y=t^4	6t\frac{dy}{dt}+y=t^{4}
(dy)/(dx)= 1/2 x+3	\frac{dy}{dx}=\frac{1}{2}x+3
derivada de xe^t	\frac{d}{dx}(xe^{t})
integral de tan^5(x)sec^{-3/2}(x)	\int\:\tan^{5}(x)\sec^{-\frac{3}{2}}(x)dx
integral de x^2sqrt(x^2+9)	\int\:x^{2}\sqrt{x^{2}+9}dx
integral de 1/((5x)^2)	\int\:\frac{1}{(5x)^{2}}dx
integral de (ln(cos(x)))/((cos(x))^2)	\int\:\frac{\ln(\cos(x))}{(\cos(x))^{2}}dx
integral de-infinity a 0 de 2^r	\int\:_{-\infty\:}^{0}2^{r}dr
integral de (-9x+3)^4	\int\:(-9x+3)^{4}dx
derivative 30e^x+x^{20}	derivative\:30e^{x}+x^{20}
derivada de 5cos^3(x)	\frac{d}{dx}(5\cos^{3}(x))
integral de (x^2+x+3)/(x^4+6x^2+9)	\int\:\frac{x^{2}+x+3}{x^{4}+6x^{2}+9}dx
integral de 1/(-x^2)	\int\:\frac{1}{-x^{2}}dx
tangent f(x)=(e^x)/x ,(1,e)	tangent\:f(x)=\frac{e^{x}}{x},(1,e)
derivada de (x^2-6x+5/(x^2+7))	\frac{d}{dx}(\frac{x^{2}-6x+5}{x^{2}+7})
integral de 0 a 3 de (3x^2+x-2)	\int\:_{0}^{3}(3x^{2}+x-2)dx
integral de sqrt(x^3)+\sqrt[3]{x^2}	\int\:\sqrt{x^{3}}+\sqrt[3]{x^{2}}dx
y^{''}-4y^'+4y=5t^{-1}e^{2t}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=5t^{-1}e^{2t}
derivada de x^{ex}	\frac{d}{dx}(x^{ex})
(\partial)/(\partial x)(x^2(x-y)^{-2})	\frac{\partial\:}{\partial\:x}(x^{2}(x-y)^{-2})
derivada de 1/(3(x+2^{2/3)})	\frac{d}{dx}(\frac{1}{3(x+2)^{\frac{2}{3}}})
derivative f(x)=(2x^2+1)	derivative\:f(x)=(2x^{2}+1)
integral de x^2sin(y)	\int\:x^{2}\sin(y)dy
inversalaplace (3s+2)/(s^2+4s+20)	inverselaplace\:\frac{3s+2}{s^{2}+4s+20}
integral de sin(6x)ln(sin(6x))	\int\:\sin(6x)\ln(\sin(6x))dx
integral de (x^2)/((36-x^2)^{3/2)}	\int\:\frac{x^{2}}{(36-x^{2})^{\frac{3}{2}}}dx
integral de 0 a sqrt(pi de)xcos(x^2)	\int\:_{0}^{\sqrt{π}}x\cos(x^{2})dx
t^3y^'+4t^2y=e^{-t}	t^{3}y^{\prime\:}+4t^{2}y=e^{-t}
serie de n=1 a infinity de 1/((n+1)!)	\sum\:_{n=1}^{\infty\:}\frac{1}{(n+1)!}
integral de 2y+xe^{xy}	\int\:2y+xe^{xy}dy
derivada de 1/((x+3^5))	\frac{d}{dx}(\frac{1}{(x+3)^{5}})
y^{''}+2y^'+6y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+6y=0,y(0)=1,y^{\prime\:}(0)=0
límite cuando x tiende a 0 de xsin(7/x)	\lim\:_{x\to\:0}(x\sin(\frac{7}{x}))
(\partial)/(\partial x)(xy+ln(x)+2y^2)	\frac{\partial\:}{\partial\:x}(xy+\ln(x)+2y^{2})
integral de (sech(x))	\int\:(\sech(x))dx
laplacetransformación 8e^{pi-t}	laplacetransform\:8e^{π-t}
integral de sin(8x)cos(12x)	\int\:\sin(8x)\cos(12x)dx
taylor ln(x),4	taylor\:\ln(x),4
derivative g(x)=1-2x-x^{(2)}	derivative\:g(x)=1-2x-x^{(2)}
(dy}{dx}=-\frac{xe^{-x^2})/y	\frac{dy}{dx}=-\frac{xe^{-x^{2}}}{y}
integral de 1/(e^{2t)}	\int\:\frac{1}{e^{2t}}dt
integral de ((2x)/y+xy^2)	\int\:(\frac{2x}{y}+xy^{2})dx
tangent f(x)=x^2*e^{x^2-1},\at x=-1	tangent\:f(x)=x^{2}\cdot\:e^{x^{2}-1},\at\:x=-1
integral de (x-1)sqrt(x^2-2x)	\int\:(x-1)\sqrt{x^{2}-2x}dx
d/(dh)(35{f}(h)(3+2h))	\frac{d}{dh}(35{f}(h)(3+2h))

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