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Problemas populares Cálculo

inverselaplace 4/(s^2)-(10)/s	inverselaplace\:\frac{4}{s^{2}}-\frac{10}{s}
derivada de 1/(1+e^{-x})	\frac{d}{dx}(\frac{1}{1+e^{-x}})
límite cuando h tiende a 0-de (2^h-1)/h	\lim\:_{h\to\:0-}(\frac{2^{h}-1}{h})
límite cuando x tiende a 0 de-5/x	\lim\:_{x\to\:0}(-\frac{5}{x})
integral de (x+5)/((x+3)(x-1))	\int\:\frac{x+5}{(x+3)(x-1)}dx
derivada de 15ln(x/(80))	\frac{d}{dx}(15\ln(\frac{x}{80}))
(\partial)/(\partial y)(y^{xz}+2(yz)^x)	\frac{\partial\:}{\partial\:y}(y^{xz}+2(yz)^{x})
tangent y=-(4x)/(x^2+1)	tangent\:y=-\frac{4x}{x^{2}+1}
integral de x^2+5x+2	\int\:x^{2}+5x+2dx
(dy)/(dt)=e^{-t}-y	\frac{dy}{dt}=e^{-t}-y
derivada de 7e^x+x	\frac{d}{dx}(7e^{x}+x)
integral de (x^2+3x-1)/(sqrt(x))	\int\:\frac{x^{2}+3x-1}{\sqrt{x}}dx
límite cuando x tiende a 9 de sqrt(13-x)	\lim\:_{x\to\:9}(\sqrt{13-x})
derivada de (x^2/6)	\frac{d}{dx}(\frac{x^{2}}{6})
derivada de 27	\frac{d}{dx}(27)
simplificar \sqrt[3]{(x^2-4x)^2}	simplify\:\sqrt[3]{(x^{2}-4x)^{2}}
y^{''}-14y^'+49y=0	y^{\prime\:\prime\:}-14y^{\prime\:}+49y=0
y^{'''}+4y^'=0	y^{\prime\:\prime\:\prime\:}+4y^{\prime\:}=0
pendiente (2.5)(4.7)	slope\:(2.5)(4.7)
derivada de 9e^{4x}	\frac{d}{dx}(9e^{4x})
(\partial)/(\partial x)((2x^2+7x^2y)/(3xy))	\frac{\partial\:}{\partial\:x}(\frac{2x^{2}+7x^{2}y}{3xy})
límite cuando x tiende a 6 de 1/(x-6)	\lim\:_{x\to\:6}(\frac{1}{x-6})
serie de n=0 a infinity de 18^nx^nn!	\sum\:_{n=0}^{\infty\:}18^{n}x^{n}n!
(ln\|x\|)^'	(\ln\left\|x\right\|)^{\prime\:}
derivative f(x)=x^{11}arccot(x)	derivative\:f(x)=x^{11}\arccot(x)
2y^{''}-3y^'+y=0	2y^{\prime\:\prime\:}-3y^{\prime\:}+y=0
tangent y=x^2-5x+5,(0,5)	tangent\:y=x^{2}-5x+5,(0,5)
límite cuando x tiende a 5 de log_{3}(x-5)	\lim\:_{x\to\:5}(\log_{3}(x-5))
integral de 3tan^2(x)sec(x)	\int\:3\tan^{2}(x)\sec(x)dx
tangent ax^2+bx+c	tangent\:ax^{2}+bx+c
(\partial)/(\partial y)(sin(x)+picos(y))	\frac{\partial\:}{\partial\:y}(\sin(x)+π\cos(y))
integral de ((1-y)e^y)/(y^2)	\int\:\frac{(1-y)e^{y}}{y^{2}}dy
y(8x-9y)dx+2x(x-3y)dy=0	y(8x-9y)dx+2x(x-3y)dy=0
derivada de ax*e^{bx}	\frac{d}{dx}(ax\cdot\:e^{bx})
tangent f(x)=(11x-1)^{-1/5},\at x=3	tangent\:f(x)=(11x-1)^{-\frac{1}{5}},\at\:x=3
(\partial)/(\partial x)((-y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{-y}{x^{2}+y^{2}})
derivada de ln((2x+3^2))	\frac{d}{dx}(\ln((2x+3)^{2}))
derivative x^{-9cos(x)}	derivative\:x^{-9\cos(x)}
derivada de log_{e}(5x)	\frac{d}{dx}(\log_{e}(5x))
integral de 1/(x(\sqrt[4]{x))}	\int\:\frac{1}{x(\sqrt[4]{x})}dx
integral de (x^2)/(8-x^3)	\int\:\frac{x^{2}}{8-x^{3}}dx
d/(dt)(1/(2+t))	\frac{d}{dt}(\frac{1}{2+t})
y^{''}+2y^'=8x	y^{\prime\:\prime\:}+2y^{\prime\:}=8x
(2x+1)(dy)/(dx)=4xy	(2x+1)\frac{dy}{dx}=4xy
integral de (sec(x)+cos(x))/(3cos(x))	\int\:\frac{\sec(x)+\cos(x)}{3\cos(x)}dx
derivative x/(x^2+3)	derivative\:\frac{x}{x^{2}+3}
integral de cos^2(xsi)n^3x	\int\:\cos^{2}(xsi)n^{3}xdx
tangent e^{-2t},\at t=0	tangent\:e^{-2t},\at\:t=0
derivada de (sqrt(x)/(x-2sqrt(x)))	\frac{d}{dx}(\frac{\sqrt{x}}{x-2\sqrt{x}})
límite cuando x tiende a-1 de 2x^2+6x-1	\lim\:_{x\to\:-1}(2x^{2}+6x-1)
límite cuando x tiende a 2 de 5/(\|2-x\|)	\lim\:_{x\to\:2}(\frac{5}{\left\|2-x\right\|})
derivada de e^{-x/a}	\frac{d}{dx}(e^{-\frac{x}{a}})
f(x)=e^xarctan(x)	f(x)=e^{x}\arctan(x)
factor 2sin(x)+sin^2(x)	factor\:2\sin(x)+\sin^{2}(x)
derivada de cot^3(x)	\frac{d}{dx}(\cot^{3}(x))
integral de-2 a 3 de (21)/(x^4)	\int\:_{-2}^{3}\frac{21}{x^{4}}dx
límite cuando x tiende a 3 de (9-x^2)/(3-x)	\lim\:_{x\to\:3}(\frac{9-x^{2}}{3-x})
d/(dθ)(4sin(θ)cos^2(θ))	\frac{d}{dθ}(4\sin(θ)\cos^{2}(θ))
área 3x,4x^2	area\:3x,4x^{2}
integral de 0 a 4 de (1/(sqrt(4-x)))	\int\:_{0}^{4}(\frac{1}{\sqrt{4-x}})dx
(\partial)/(\partial y)(e^{xsin(y)})	\frac{\partial\:}{\partial\:y}(e^{x\sin(y)})
derivative arcsin(-1/2)	derivative\:\arcsin(-\frac{1}{2})
integral de (x^2)^{22}x^2)^2	\int\:(x^{2})^{22}d(x^{2})^{2}
derivada de tan^{x^2}(x)	\frac{d}{dx}(\tan^{x^{2}}(x))
laplacetransform (e^t)/(sqrt(t))	laplacetransform\:\frac{e^{t}}{\sqrt{t}}
integral de xcos((mpix)/2)	\int\:x\cos(\frac{mπx}{2})dx
derivada de (3/5 ^x)	\frac{d}{dx}((\frac{3}{5})^{x})
integral de sec(t)(4sec(t)+7tan(t))	\int\:\sec(t)(4\sec(t)+7\tan(t))dt
d/(dy)(ye^x)	\frac{d}{dy}(ye^{x})
límite cuando x tiende a-infinity de x^{-2}	\lim\:_{x\to\:-\infty\:}(x^{-2})
x^2y^{''}+7xy^'+8y=0,y(1)=0,y^'(1)=-5	x^{2}y^{\prime\:\prime\:}+7xy^{\prime\:}+8y=0,y(1)=0,y^{\prime\:}(1)=-5
derivada de (x^3/2+1/(6x))	\frac{d}{dx}(\frac{x^{3}}{2}+\frac{1}{6x})
integral de xsqrt(2x^2-1)	\int\:x\sqrt{2x^{2}-1}dx
d/(dt)(2t-3)	\frac{d}{dt}(2t-3)
derivada de arctan(ln(4x^3))	\frac{d}{dx}(\arctan(\ln(4)x^{3}))
integral de 4x+9	\int\:4x+9dx
límite cuando x tiende a 0-de (2^x)/x	\lim\:_{x\to\:0-}(\frac{2^{x}}{x})
integral de 11arctan(sqrt(x))	\int\:11\arctan(\sqrt{x})dx
derivada de 16in(x^2-x^2)	\frac{d}{dx}(16in(x^{2})-x^{2})
tangent f(x)= 1/(x-1),\at x=3	tangent\:f(x)=\frac{1}{x-1},\at\:x=3
integral de e^{2x-1}	\int\:e^{2x-1}dx
derivada de (x^2-3x^{-2/3}/x)	\frac{d}{dx}(\frac{x^{2}-3x^{-\frac{2}{3}}}{x})
integral de pi(8.4x-2x^2)^2	\int\:π(8.4x-2x^{2})^{2}dx
integral de tan^6(x)cos^7(x)	\int\:\tan^{6}(x)\cos^{7}(x)dx
integral de 17^x	\int\:17^{x}dx
derivada de-(0.4/(sqrt(5+5x)))	\frac{d}{dx}(-\frac{0.4}{\sqrt{5+5x}})
límite cuando x tiende a 4 de (f(x)g(x))(x)	\lim\:_{x\to\:4}((f(x)g(x))(x))
integral de 1/((x-1)sqrt(15+2x-x^2))	\int\:\frac{1}{(x-1)\sqrt{15+2x-x^{2}}}dx
integral de 1 a 2 de x^4	\int\:_{1}^{2}x^{4}dx
integral de (1-x^2)^{1/2}	\int\:(1-x^{2})^{\frac{1}{2}}dx
(\partial)/(\partial y)(4x^3)	\frac{\partial\:}{\partial\:y}(4x^{3})
límite cuando x tiende a 2+de x^3-cx	\lim\:_{x\to\:2+}(x^{3}-cx)
integral de (e^{1/(x^5)})/(x^6)	\int\:\frac{e^{\frac{1}{x^{5}}}}{x^{6}}dx
límite cuando x tiende a 3 de-50[ln\|x\|]	\lim\:_{x\to\:3}(-50[\ln\left\|x\right\|])
integral de 0 a 1 de 3/(1+x^2)	\int\:_{0}^{1}\frac{3}{1+x^{2}}dx
integral de 0 a 1 de x(x^2+1)^3	\int\:_{0}^{1}x(x^{2}+1)^{3}dx
integral de ln(ex)	\int\:\ln(ex)dx
límite cuando x tiende a 1 de x^2-x+1	\lim\:_{x\to\:1}(x^{2}-x+1)
integral de (x+2)^4	\int\:(x+2)^{4}dx
derivada de (x^5-3x^2)	\frac{d}{dx}((x^{5}-3x)^{2})

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