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Problemas populares

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Problemas populares de Cálculo

integral de 2xcos(5x)	\int\:2x\cos(5x)dx
(\partial)/(\partial x)(2x^4y)	\frac{\partial\:}{\partial\:x}(2x^{4}y)
(dy)/(dx)=-a(y-b)	\frac{dy}{dx}=-a(y-b)
integral de (\sqrt[3]{x})	\int\:(\sqrt[3]{x})dx
tangent y=x^3-4x	tangent\:y=x^{3}-4x
derivative (2-x)/(e^{3x)}	derivative\:\frac{2-x}{e^{3x}}
integral de (x^2)/((x+2)^3)	\int\:\frac{x^{2}}{(x+2)^{3}}dx
(dy)/(dx)=(8+x)^2	\frac{dy}{dx}=(8+x)^{2}
integral de (3x^2-x+4)/(x^3+2x^2+6x)	\int\:\frac{3x^{2}-x+4}{x^{3}+2x^{2}+6x}dx
derivada de (13/(ln(x)))	\frac{d}{dx}(\frac{13}{\ln(x)})
límite cuando x tiende a infinity de (e^{2x}+e^x)/(e^{2x)-1}1	\lim\:_{x\to\:\infty\:}(\frac{e^{2x}+e^{x}}{e^{2x}-1}1)
inversalaplace 1/((s+2)(s-1)^5)	inverselaplace\:\frac{1}{(s+2)(s-1)^{5}}
integral de-32	\int\:-32
límite cuando x tiende a infinity de 2-x^2	\lim\:_{x\to\:\infty\:}(2-x^{2})
integral de 5x^2+1	\int\:5x^{2}+1dx
integral de 0 a 3 de xsqrt(x^2+16)	\int\:_{0}^{3}x\sqrt{x^{2}+16}dx
derivada de x^2sin(3x-2)	\frac{d}{dx}(x^{2}\sin(3x-2))
integral de 0 a 1 de 1/x	\int\:_{0}^{1}\frac{1}{x}dx
derivada de sec^2(x-tan^2(x))	\frac{d}{dx}(\sec^{2}(x)-\tan^{2}(x))
límite cuando t tiende a 0 de (5^t-3^t)/t	\lim\:_{t\to\:0}(\frac{5^{t}-3^{t}}{t})
f^'(a)=2	f^{\prime\:}(a)=2
(dy)/(dx)=((xe^x)/(ysqrt(9+y^2)))	\frac{dy}{dx}=(\frac{xe^{x}}{y\sqrt{9+y^{2}}})
integral de (3x)	\int\:(3x)dx
integral de x(x^2+6)^4	\int\:x(x^{2}+6)^{4}dx
serie de n=1 a infinity de n/(e^{3n)}	\sum\:_{n=1}^{\infty\:}\frac{n}{e^{3n}}
integral de (2x+3)^{1/2}	\int\:(2x+3)^{\frac{1}{2}}dx
derivada de (x^4/(16)+1/(2x^2))	\frac{d}{dx}(\frac{x^{4}}{16}+\frac{1}{2x^{2}})
derivative y=arccos(e^{3x})	derivative\:y=\arccos(e^{3x})
área cos(3x),2-cos(x)	area\:\cos(3x),2-\cos(x)
derivative f(x)=x^3-3x^2-45x+5	derivative\:f(x)=x^{3}-3x^{2}-45x+5
(1-1/x)^'	(1-\frac{1}{x})^{\prime\:}
y^{''}-3/t y^'+(20)/(t^2)y=0	y^{\prime\:\prime\:}-\frac{3}{t}y^{\prime\:}+\frac{20}{t^{2}}y=0
derivative arcsin(2x-3)	derivative\:\arcsin(2x-3)
integral de x/(sec(x))	\int\:\frac{x}{\sec(x)}dx
implicit (dy)/(dx),y^x=x^y	implicit\:\frac{dy}{dx},y^{x}=x^{y}
(dy)/(dt)-y=1,y(0)=0	\frac{dy}{dt}-y=1,y(0)=0
ty^'+y=1+y+y^2	ty^{\prime\:}+y=1+y+y^{2}
derivada de {f}(x+{g}(x))	\frac{d}{dx}({f}(x)+{g}(x))
derivada de x^m	\frac{d}{dx}(x^{m})
y^{''}+8y^'+15y=0	y^{\prime\:\prime\:}+8y^{\prime\:}+15y=0
derivative f(x)=(2x)/(9x^2+1)	derivative\:f(x)=\frac{2x}{9x^{2}+1}
integral de 4 a 7 de x^2	\int\:_{4}^{7}x^{2}dx
integral de y^3e^{y^2}	\int\:y^{3}e^{y^{2}}dy
serie de n=5 a infinity de (9^n)/(10^n)	\sum\:_{n=5}^{\infty\:}\frac{9^{n}}{10^{n}}
derivada de sin(x-1/3 sin^3(x))	\frac{d}{dx}(\sin(x)-\frac{1}{3}\sin^{3}(x))
integral de-25sin(5t-pi/2)	\int\:-25\sin(5t-\frac{π}{2})dt
y^'+xe^y=0	y^{\prime\:}+xe^{y}=0
integral de e^xsqrt(5+e^x)	\int\:e^{x}\sqrt{5+e^{x}}dx
derivative f(x)=3sqrt(x)sin(x)	derivative\:f(x)=3\sqrt{x}\sin(x)
derivative f(x)=(8x^3-2x+9)/x	derivative\:f(x)=\frac{8x^{3}-2x+9}{x}
inversalaplace (10s+3)/(s^2+4s+29)	inverselaplace\:\frac{10s+3}{s^{2}+4s+29}
límite cuando x tiende a 0 de (2x-8)^{1/3}	\lim\:_{x\to\:0}((2x-8)^{\frac{1}{3}})
derivada de csc(pix)	\frac{d}{dx}(\csc(πx))
ydx-2(x+y)dy=0	ydx-2(x+y)dy=0
inversalaplace ((2s-3))/((s^2-3s+2))	inverselaplace\:\frac{(2s-3)}{(s^{2}-3s+2)}
derivada de x(x^2+7^4)	\frac{d}{dx}(x(x^{2}+7)^{4})
integral de 0 a infinity de x^2e^x	\int\:_{0}^{\infty\:}x^{2}e^{x}dx
derivative y=-x^2-0.85x	derivative\:y=-x^{2}-0.85x
derivative arcsec(x^2)	derivative\:\arcsec(x^{2})
integral de-infinity a 0 de 1/(7-8x)	\int\:_{-\infty\:}^{0}\frac{1}{7-8x}dx
límite cuando x tiende a+2-de cx^2+6x	\lim\:_{x\to\:+2-}(cx^{2}+6x)
integral de (x^2)/((x-2))	\int\:\frac{x^{2}}{(x-2)}dx
derivative y=2x^4	derivative\:y=2x^{4}
laplacetransformación te^{-t}sin(5t)	laplacetransform\:te^{-t}\sin(5t)
derivada de 1/(2+3x)	\frac{d}{dx}(\frac{1}{2+3x})
integral de csc(θ)	\int\:\csc(θ)dθ
límite cuando x tiende a+3 de 6	\lim\:_{x\to\:+3}(6)
integral de θ^3cos(θ)	\int\:θ^{3}\cos(θ)dθ
integral de 0 a pi/3 de 2+sin(3x)	\int\:_{0}^{\frac{π}{3}}2+\sin(3x)dx
integral de e^{-iwx}	\int\:e^{-iwx}dx
(x-1)y^'+y(x-2)=0	(x-1)y^{\prime\:}+y(x-2)=0
derivative f(x)=sin(2)x^2	derivative\:f(x)=\sin(2)x^{2}
x^{''}-5x^'+6x=e^{2t}	x^{\prime\:\prime\:}-5x^{\prime\:}+6x=e^{2t}
derivative y=(x^2-6x+10)sqrt(25-x^2)	derivative\:y=(x^{2}-6x+10)\sqrt{25-x^{2}}
integral de 13tan^4(xse)c^6x	\int\:13\tan^{4}(xse)c^{6}xdx
integral de (x^2)/((1+x^3)^{1.1)}	\int\:\frac{x^{2}}{(1+x^{3})^{1.1}}dx
tangent f(x)=(8x)/(x^2+1),\at x=1	tangent\:f(x)=\frac{8x}{x^{2}+1},\at\:x=1
integral de (x^2)/((x^3-5)^3)	\int\:\frac{x^{2}}{(x^{3}-5)^{3}}dx
límite cuando x tiende a-8 de (x+7)/(x+8)	\lim\:_{x\to\:-8}(\frac{x+7}{x+8})
tangent f(x)=ln(sqrt(2x+1)),\at x=0	tangent\:f(x)=\ln(\sqrt{2x+1}),\at\:x=0
derivative u(x-5)	derivative\:u(x-5)
tangent f(x)= 3/x ,\at x=4	tangent\:f(x)=\frac{3}{x},\at\:x=4
derivada de sqrt((4x^3/9))	\frac{d}{dx}(\sqrt{\frac{4x^{3}}{9}})
integral de-4 a-2 de (x^2-4)	\int\:_{-4}^{-2}(x^{2}-4)dx
derivative 5x^2+x	derivative\:5x^{2}+x
y^'=((x^2+xy+y^2))/(x^2)	y^{\prime\:}=\frac{(x^{2}+xy+y^{2})}{x^{2}}
integral de xsin(x/2)	\int\:x\sin(\frac{x}{2})dx
derivative f(t)=4t^2+5	derivative\:f(t)=4t^{2}+5
área 3-(x^2)/2 ,1,2	area\:3-\frac{x^{2}}{2},1,2
y^'+20y=40sin(60x)	y^{\prime\:}+20y=40\sin(60x)
(\partial)/(\partial x)(sin(8x)cos(3y))	\frac{\partial\:}{\partial\:x}(\sin(8x)\cos(3y))
área y=x^2,y=4x	area\:y=x^{2},y=4x
(d^3)/(dx^3)(xsin(x))	\frac{d^{3}}{dx^{3}}(x\sin(x))
y^'=((y-x))/x	y^{\prime\:}=\frac{(y-x)}{x}
derivative f(x)=6x^{-1}	derivative\:f(x)=6x^{-1}
derivada de cos^2(1-2x)	\frac{d}{dx}(\cos^{2}(1-2x))
(dy)/(dx)=((2y+5)/(8x+9))^2	\frac{dy}{dx}=(\frac{2y+5}{8x+9})^{2}
inversalaplace 4/(s^2-9)	inverselaplace\:\frac{4}{s^{2}-9}
integral de 1/(x(x-9)^2)	\int\:\frac{1}{x(x-9)^{2}}dx
integral de (1-x^2)^{3/2}	\int\:(1-x^{2})^{\frac{3}{2}}dx

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