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Problemas populares

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Problemas populares de Cálculo

integral de 1/3 a 7 de 16xln(3x)	\int\:_{\frac{1}{3}}^{7}16x\ln(3x)dx
(\partial)/(\partial x)(arcsin(-2x^4))	\frac{\partial\:}{\partial\:x}(\arcsin(-2x^{4}))
límite cuando n tiende a 0 de (sin(n))/n	\lim\:_{n\to\:0}(\frac{\sin(n)}{n})
(dy)/(dx)= y/x+(y^2)/(x^2)	\frac{dy}{dx}=\frac{y}{x}+\frac{y^{2}}{x^{2}}
integral de (4x+3)cos(x)	\int\:(4x+3)\cos(x)dx
y^{''}+3y^'+2=0	y^{\prime\:\prime\:}+3y^{\prime\:}+2=0
integral de 1 a 9 de e^{sqrt(x)}	\int\:_{1}^{9}e^{\sqrt{x}}dx
serie de k=1 a infinity de 1/(k^4)	\sum\:_{k=1}^{\infty\:}\frac{1}{k^{4}}
derivative 4x^2cos(x)+3x	derivative\:4x^{2}\cos(x)+3x
integral de 4e^xsec(e^x+2)	\int\:4e^{x}\sec(e^{x}+2)dx
integral de ((x-1))/((x-1)^2+1)	\int\:\frac{(x-1)}{(x-1)^{2}+1}dx
inversalaplace 1/(s^{3/2)}	inverselaplace\:\frac{1}{s^{\frac{3}{2}}}
6y^{''}+31y=0,y(0)=6,y^'(0)=2	6y^{\prime\:\prime\:}+31y=0,y(0)=6,y^{\prime\:}(0)=2
derivada de 1/(y^2+x)	\frac{d}{dx}(\frac{1}{y^{2}+x})
tangent y= 1/(x^2),(3, 1/9)	tangent\:y=\frac{1}{x^{2}},(3,\frac{1}{9})
(dy)/(dx)-9/x y=(y^3)/(x^{13)}	\frac{dy}{dx}-\frac{9}{x}y=\frac{y^{3}}{x^{13}}
derivada de (-7/(sqrt(x)))	\frac{d}{dx}(\frac{-7}{\sqrt{x}})
tangent f(x)=-x^2-x+4,\at x=-1	tangent\:f(x)=-x^{2}-x+4,\at\:x=-1
y^{''}+5y^'+6y=-10te^{2t}	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=-10te^{2t}
derivada de (x^6/2)	\frac{d}{dx}(\frac{x^{6}}{2})
derivative ln(x+sqrt(x^2-3))	derivative\:\ln(x+\sqrt{x^{2}-3})
integral de 0 a 1 de 2pi(2-y)(8y^2)	\int\:_{0}^{1}2π(2-y)(8y^{2})dy
(\partial)/(\partial x)(8x^6y^7-7x^5y^6)	\frac{\partial\:}{\partial\:x}(8x^{6}y^{7}-7x^{5}y^{6})
integral de 6csc^2(x)	\int\:6\csc^{2}(x)dx
derivative 1/3 x^3	derivative\:\frac{1}{3}x^{3}
área y=-x^2+3x+1,y=-x+1	area\:y=-x^{2}+3x+1,y=-x+1
límite cuando x tiende a 0 de-22	\lim\:_{x\to\:0}(-22)
integral de ((xe^{2x}))/((2x+1)^2)	\int\:\frac{(xe^{2x})}{(2x+1)^{2}}dx
límite cuando x tiende a 0 de ((x^2-x))/x	\lim\:_{x\to\:0}(\frac{(x^{2}-x)}{x})
integral de cos(2x-1)	\int\:\cos(2x-1)dx
integral de 1 a 1.5 de x^2ln(x)	\int\:_{1}^{1.5}x^{2}\ln(x)dx
derivative f(x)=(sin(x))/(e^x)	derivative\:f(x)=\frac{\sin(x)}{e^{x}}
área (sqrt(x))/2 ,3x^2-1,0,0.5	area\:\frac{\sqrt{x}}{2},3x^{2}-1,0,0.5
derivative-9x+5	derivative\:-9x+5
derivative (s^2-4)/(s+1)	derivative\:\frac{s^{2}-4}{s+1}
integral de 1/(cos(θ))	\int\:\frac{1}{\cos(θ)}dθ
integral de 2y-x^2	\int\:2y-x^{2}dx
tangent y= 1/((1+x^2),\at (-1, 1/2))	tangent\:y=\frac{1}{(1+x^{2}),\at\:(-1,\frac{1}{2})}
integral de 3x^{15}e^{-x^8}	\int\:3x^{15}e^{-x^{8}}dx
integral de 9cos^2(3θ)	\int\:9\cos^{2}(3θ)dθ
derivative log_{x}(2)	derivative\:\log_{x}(2)
tangent y= 6/(sqrt(x)),(16, 6/4)	tangent\:y=\frac{6}{\sqrt{x}},(16,\frac{6}{4})
derivative y=2sin(x)cos(x)	derivative\:y=2\sin(x)\cos(x)
integral de 2tan^2(x)+tan^4(x)	\int\:2\tan^{2}(x)+\tan^{4}(x)dx
integral de x/(3x+1)	\int\:\frac{x}{3x+1}dx
integral de (tan(θ))/(sec(θ))	\int\:\frac{\tan(θ)}{\sec(θ)}dθ
integral de xcos(pinx)	\int\:x\cos(πnx)dx
límite cuando x tiende a 0 de (3x^2)/(x^2)	\lim\:_{x\to\:0}(\frac{3x^{2}}{x^{2}})
límite cuando x tiende a 6+de x-6	\lim\:_{x\to\:6+}(x-6)
integral de (csc(x))^3	\int\:(\csc(x))^{3}dx
integral de x/(x-5)	\int\:\frac{x}{x-5}dx
integral de+xe^x	\int\:+xe^{x}dx
(\partial)/(\partial y)(x-z-arctan(yz))	\frac{\partial\:}{\partial\:y}(x-z-\arctan(yz))
área y=sqrt(x),y= x/2 ,x=9	area\:y=\sqrt{x},y=\frac{x}{2},x=9
tangent 8/x+6	tangent\:\frac{8}{x}+6
derivative 8e^x+2/(\sqrt[3]{x)}	derivative\:8e^{x}+\frac{2}{\sqrt[3]{x}}
tangent f(x)= 1/(x^2),(2, 1/4)	tangent\:f(x)=\frac{1}{x^{2}},(2,\frac{1}{4})
derivada de x^3+x+1	\frac{d}{dx}(x^{3}+x+1)
serie de n=1 a infinity de n^2*e^{-n}	\sum\:_{n=1}^{\infty\:}n^{2}\cdot\:e^{-n}
integral de 1 a 2 de 7sqrt(4x^2-3)	\int\:_{1}^{2}7\sqrt{4x^{2}-3}dx
integral de x^{-10}	\int\:x^{-10}dx
límite cuando x tiende a 2 de (-1)/(x-2)	\lim\:_{x\to\:2}(\frac{-1}{x-2})
laplacetransformación 3tsin(3t)	laplacetransform\:3t\sin(3t)
(d^2y)/(dx^2)+x(dy)/(dx)=0	\frac{d^{2}y}{dx^{2}}+x\frac{dy}{dx}=0
y^'=(x-4)e^{-2y},y(4)=ln(4)	y^{\prime\:}=(x-4)e^{-2y},y(4)=\ln(4)
derivada de 2x^{-14/5}	\frac{d}{dx}(2x^{-\frac{14}{5}})
límite cuando x tiende a 3 de (6x)/(x^2-9)	\lim\:_{x\to\:3}(\frac{6x}{x^{2}-9})
integral de-t^2	\int\:-t^{2}dt
integral de 1 a 5 de 1/(sqrt(3x+1))	\int\:_{1}^{5}\frac{1}{\sqrt{3x+1}}dx
derivada de (4x^2+2x+2/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+2x+2}{\sqrt{x}})
integral de 1+tan^2(x)	\int\:1+\tan^{2}(x)dx
integral de 1 a e de ln(2x)	\int\:_{1}^{e}\ln(2x)dx
6y^{''}+y^'=0	6y^{\prime\:\prime\:}+y^{\prime\:}=0
derivada de pi/2	\frac{d}{dx}(\frac{π}{2})
integral de 5e^{-4x+8}-5	\int\:5e^{-4x+8}-5dx
integral de ye^{-2y}	\int\:ye^{-2y}dy
d/(dt)(1/2 t^2+t)	\frac{d}{dt}(\frac{1}{2}t^{2}+t)
f(x)=3^{-6x+6}	f(x)=3^{-6x+6}
integral de 0 a 2 de (2x)/((x^2+1)^3)	\int\:_{0}^{2}\frac{2x}{(x^{2}+1)^{3}}dx
derivada de 3x^2-6x+1	\frac{d}{dx}(3x^{2}-6x+1)
inversalaplace 1/((s-2)^2-4)	inverselaplace\:\frac{1}{(s-2)^{2}-4}
y^{''''}-2y^{''}+y=0	y^{\prime\:\prime\:\prime\:\prime\:}-2y^{\prime\:\prime\:}+y=0
derivada de 3cos^2(x-6sin(x))	\frac{d}{dx}(3\cos^{2}(x)-6\sin(x))
(\partial)/(\partial x)(arcsin(3x))	\frac{\partial\:}{\partial\:x}(\arcsin(3x))
(d^2)/(dx^2)(x/(x-1))	\frac{d^{2}}{dx^{2}}(\frac{x}{x-1})
límite cuando x tiende a 0+de \sqrt[3]{x}	\lim\:_{x\to\:0+}(\sqrt[3]{x})
área e^x-2,0<= x<= 2	area\:e^{x}-2,0\le\:x\le\:2
integral de x/(x^4+5)	\int\:\frac{x}{x^{4}+5}dx
integral de (2sin(x)+3cos(x))	\int\:(2\sin(x)+3\cos(x))dx
integral de 1 a infinity de 1/(x^9)	\int\:_{1}^{\infty\:}\frac{1}{x^{9}}dx
(dN)/(dt)=N(1-0.0008N)	\frac{dN}{dt}=N(1-0.0008N)
derivada de 7sqrt(x)(x^3-3sqrt(x)+2)	\frac{d}{dx}(7\sqrt{x}(x^{3}-3\sqrt{x}+2))
integral de x^2(x+3)^2	\int\:x^{2}(x+3)^{2}dx
área y=e^{-x},y=0,x=0,x=ln(5)	area\:y=e^{-x},y=0,x=0,x=\ln(5)
límite cuando x tiende a 3 de asqrt(x+3)	\lim\:_{x\to\:3}(a\sqrt{x+3})
ydx+(x^2-4x)dy=0	ydx+(x^{2}-4x)dy=0
serie de n=1 a infinity de (9n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{9n}{n!}
(ln^2(x))^'	(\ln^{2}(x))^{\prime\:}
límite cuando x tiende a 2 de x^3-3x^2+4	\lim\:_{x\to\:2}(x^{3}-3x^{2}+4)
derivada de-4sqrt(x)	\frac{d}{dx}(-4\sqrt{x})

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