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Problemas populares

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Problemas populares Cálculo

laplacetransform cos^2(kt)	laplacetransform\:\cos^{2}(kt)
integral de 0 a 3 de 3	\int\:_{0}^{3}3dx
derivada de (x-ln(1+x)/(x^2))	\frac{d}{dx}(\frac{x-\ln(1+x)}{x^{2}})
integral de xln(3)	\int\:x\ln(3)dx
límite cuando x tiende a 1+de (2-x)/(x-1)	\lim\:_{x\to\:1+}(\frac{2-x}{x-1})
y^{''}-12y^'+36y=4xe^{6x}	y^{\prime\:\prime\:}-12y^{\prime\:}+36y=4xe^{6x}
serie de n=2 a infinity de e^{3-2n}	\sum\:_{n=2}^{\infty\:}e^{3-2n}
integral de 3(3x+9)^3	\int\:3(3x+9)^{3}dx
límite cuando x tiende a 0 de (sinh(x)-x)/(x^3)	\lim\:_{x\to\:0}(\frac{\sinh(x)-x}{x^{3}})
derivative e^{n*x}	derivative\:e^{n\cdot\:x}
área (x^2)/4 ,(-x+6)/4 ,-3,2	area\:\frac{x^{2}}{4},\frac{-x+6}{4},-3,2
derivative (10x+2x^2)/((5+2x)^2)	derivative\:\frac{10x+2x^{2}}{(5+2x)^{2}}
(dy)/(dt)+ay+b=0	\frac{dy}{dt}+ay+b=0
integral de (sqrt(1-\sqrt{w)})/(sqrt(w))	\int\:\frac{\sqrt{1-\sqrt{w}}}{\sqrt{w}}dw
integral de-e^{-x}	\int\:-e^{-x}dx
integral de x\sqrt[3]{x+10}	\int\:x\sqrt[3]{x+10}dx
integral de (x^4)/(x^2-1)	\int\:\frac{x^{4}}{x^{2}-1}dx
integral de xcos(xn)	\int\:x\cos(xn)dx
integral de sqrt(x)(6-x)	\int\:\sqrt{x}(6-x)dx
inverselaplace s/((s^2-k^2))	inverselaplace\:\frac{s}{(s^{2}-k^{2})}
(\partial)/(\partial x)((x^3)sqrt(x^2+9))	\frac{\partial\:}{\partial\:x}((x^{3})\sqrt{x^{2}+9})
límite cuando x tiende a 1-de (x^2-1)/(x-1)	\lim\:_{x\to\:1-}(\frac{x^{2}-1}{x-1})
integral de x/((x+1)(x+2)^2)	\int\:\frac{x}{(x+1)(x+2)^{2}}dx
(dy)/(dx)=2y+1	\frac{dy}{dx}=2y+1
serie de n=0 a infinity de 2/(1.15^n)	\sum\:_{n=0}^{\infty\:}\frac{2}{1.15^{n}}
y^{''}+25y=-30sec(5t)	y^{\prime\:\prime\:}+25y=-30\sec(5t)
derivada de (3x^2-6/(2x+3))	\frac{d}{dx}(\frac{3x^{2}-6}{2x+3})
derivada de e^x*cos(2x)	\frac{d}{dx}(e^{x}\cdot\:\cos(2x))
derivada de tan(xsin(x))	\frac{d}{dx}(\tan(x)\sin(x))
derivative 4xe^x	derivative\:4xe^{x}
(\partial)/(\partial y)(4x^2+y^2-800)	\frac{\partial\:}{\partial\:y}(4x^{2}+y^{2}-800)
tangent f(x)=x^3-8x^2,\at x=0	tangent\:f(x)=x^{3}-8x^{2},\at\:x=0
integral de sec^6(x)tan^5(x)	\int\:\sec^{6}(x)\tan^{5}(x)dx
límite cuando x tiende a 0 de (x^2)/2	\lim\:_{x\to\:0}(\frac{x^{2}}{2})
derivada de ((x^2+3x-4)/(x+2))	\frac{d}{dx}(\frac{(x^{2}+3x-4)}{x+2})
derivada de-cos(x-sin(x))	\frac{d}{dx}(-\cos(x)-\sin(x))
1/y y^'=-1/x	\frac{1}{y}y^{\prime\:}=-\frac{1}{x}
y^{''}+3y^'+2y=sin^2(t)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\sin^{2}(t)
y^{''}+14y^'+50y=0	y^{\prime\:\prime\:}+14y^{\prime\:}+50y=0
integral de (x/((x^2+1)^2))	\int\:(\frac{x}{(x^{2}+1)^{2}})dx
xy^'+y=3xy^2,y(1)=-3	xy^{\prime\:}+y=3xy^{2},y(1)=-3
derivative sqrt(7x)	derivative\:\sqrt{7x}
(\partial)/(\partial y)(-4x^3y)	\frac{\partial\:}{\partial\:y}(-4x^{3}y)
derivada de 3dx	\frac{d}{dx}(3dx)
(\partial)/(\partial z)(ln((xy)/(y^2+z^2)))	\frac{\partial\:}{\partial\:z}(\ln(\frac{xy}{y^{2}+z^{2}}))
área y^2=x,y=x-2	area\:y^{2}=x,y=x-2
derivada de x+y+e^{xy}	\frac{d}{dx}(x+y+e^{xy})
y^'-y=e^{3t}	y^{\prime\:}-y=e^{3t}
(\partial)/(\partial z)((x+y)/(y+z))	\frac{\partial\:}{\partial\:z}(\frac{x+y}{y+z})
y^'=(x-4)e^{-2y}	y^{\prime\:}=(x-4)e^{-2y}
derivada de (-2x^2+8/(sqrt(8-x^2)))	\frac{d}{dx}(\frac{-2x^{2}+8}{\sqrt{8-x^{2}}})
límite cuando x tiende a-1 de 1/(-x-1)	\lim\:_{x\to\:-1}(\frac{1}{-x-1})
integral de (2x^2-4x)^9(x-1)	\int\:(2x^{2}-4x)^{9}(x-1)dx
integral de 8x^3+30x-1	\int\:8x^{3}+30x-1dx
derivada de (x^3-y^3/(x^2+y^2))	\frac{d}{dx}(\frac{x^{3}-y^{3}}{x^{2}+y^{2}})
(\partial)/(\partial x)(cos^4(x^8y^7))	\frac{\partial\:}{\partial\:x}(\cos^{4}(x^{8}y^{7}))
integral de e^{-cos(x)}sin(x)	\int\:e^{-\cos(x)}\sin(x)dx
(\partial)/(\partial x)(1/(4x))	\frac{\partial\:}{\partial\:x}(\frac{1}{4x})
(\partial)/(\partial x)(3xe^{7xy})	\frac{\partial\:}{\partial\:x}(3xe^{7xy})
integral de 0 a 7 de (4t)/((t-8)^2)	\int\:_{0}^{7}\frac{4t}{(t-8)^{2}}dt
serie de n=0 a infinity de 1/(n^3)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{3}}
derivada de 4/(x-1)	\frac{d}{dx}(\frac{4}{x-1})
integral de (x-1)^2sqrt(x)	\int\:(x-1)^{2}\sqrt{x}dx
derivative (64)/((1+4x)^3)	derivative\:\frac{64}{(1+4x)^{3}}
(x+1)(dy)/(dx)-xy=x+x^2	(x+1)\frac{dy}{dx}-xy=x+x^{2}
límite cuando x tiende a 9 de 8x+\|x-9\|	\lim\:_{x\to\:9}(8x+\left\|x-9\right\|)
(\partial)/(\partial y)(2xy^3-3)	\frac{\partial\:}{\partial\:y}(2xy^{3}-3)
derivative 4x^{5/4}+8x^{3/2}+3x	derivative\:4x^{\frac{5}{4}}+8x^{\frac{3}{2}}+3x
y^'=((y-y^2))/x	y^{\prime\:}=\frac{(y-y^{2})}{x}
taylor sqrt((1+x)/(1-x))-1	taylor\:\sqrt{\frac{1+x}{1-x}}-1
derivative f(x)=sec(x^2)	derivative\:f(x)=\sec(x^{2})
derivada de sqrt(9+3x+sin(3x))	\frac{d}{dx}(\sqrt{9+3x+\sin(3x)})
tangent f(x)=2x^{-1},\at x=5	tangent\:f(x)=2x^{-1},\at\:x=5
integral de 1/2 a 3/2 de (-2x+4)	\int\:_{\frac{1}{2}}^{\frac{3}{2}}(-2x+4)dx
(dy)/(dx)+2xy=0	\frac{dy}{dx}+2xy=0
integral de-3 a 0 de (2+sqrt(9-x^2))	\int\:_{-3}^{0}(2+\sqrt{9-x^{2}})dx
serie de n=0 a infinity de ne^{-2n}	\sum\:_{n=0}^{\infty\:}ne^{-2n}
límite cuando x tiende a infinity de-(10)/x	\lim\:_{x\to\:\infty\:}(-\frac{10}{x})
tangent f(x)=9x-x^2,(1,8)	tangent\:f(x)=9x-x^{2},(1,8)
inverselaplace (s+3)/(s(s+2))	inverselaplace\:\frac{s+3}{s(s+2)}
límite cuando x tiende a 2 de (2x-4)/(3-2x)	\lim\:_{x\to\:2}(\frac{2x-4}{3-2x})
derivada de ln\|tan(x/2 \|+C)	\frac{d}{dx}(\ln\left\|\tan(\frac{x}{2})\right\|+C)
(d^2)/(dx^2)(3sec(x))	\frac{d^{2}}{dx^{2}}(3\sec(x))
integral de 3cos(sqrt(x))	\int\:3\cos(\sqrt{x})dx
derivada de x^2+k	\frac{d}{dx}(x^{2}+k)
integral de (10x-9)	\int\:(10x-9)dx
3y^'+12y=24	3y^{\prime\:}+12y=24
(\partial)/(\partial y)(6x+6y)	\frac{\partial\:}{\partial\:y}(6x+6y)
integral de (x^3-7x)^4(3x^2-7)	\int\:(x^{3}-7x)^{4}(3x^{2}-7)dx
taylor cos(3x)2.5	taylor\:\cos(3x)2.5
(\partial)/(\partial x)(6x+y^2)	\frac{\partial\:}{\partial\:x}(6x+y^{2})
serie de n=1 a infinity de (6n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{6n!}{n^{n}}
derivada de (x^2-5/(1-3x^2))	\frac{d}{dx}(\frac{x^{2}-5}{1-3x^{2}})
derivative 6(sin(x^2)+2x^2cos(x^2))	derivative\:6(\sin(x^{2})+2x^{2}\cos(x^{2}))
derivada de (x^2tan(x^3-x^2)/(sec(x)))	\frac{d}{dx}(\frac{x^{2}\tan(x^{3}-x^{2})}{\sec(x)})
y^{''}+3y^'=10sin(t)	y^{\prime\:\prime\:}+3y^{\prime\:}=10\sin(t)
tangent y=5x-4sqrt(x),(1,1)	tangent\:y=5x-4\sqrt{x},(1,1)
integral de 0 a 1 de (\|3x-1\|-2\|x\|)	\int\:_{0}^{1}(\left\|3x-1\right\|-2\left\|x\right\|)dx
derivative-5/4 t^4+120t^2	derivative\:-\frac{5}{4}t^{4}+120t^{2}
derivative (x^2+1)*e^{x-1}	derivative\:(x^{2}+1)\cdot\:e^{x-1}

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