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Problemas populares Cálculo

y^{''}+y=5e^{-8x}	y^{\prime\:\prime\:}+y=5e^{-8x}
serie de n=1 a infinity de 2(2/3)^{n-1}	\sum\:_{n=1}^{\infty\:}2(\frac{2}{3})^{n-1}
derivada de cos(xln(cos(x)))	\frac{d}{dx}(\cos(x)\ln(\cos(x)))
(dy)/(dt)=2y+2t^2-10/3 t	\frac{dy}{dt}=2y+2t^{2}-\frac{10}{3}t
integral de 2z	\int\:2zdz
maclaurin x^5sin(x)	maclaurin\:x^{5}\sin(x)
derivada de (sin(x)/(cos^2(x)))	\frac{d}{dx}(\frac{\sin(x)}{\cos^{2}(x)})
derivada de 4-x^{2/3}	\frac{d}{dx}(4-x^{\frac{2}{3}})
derivada de x^{4/3}-5	\frac{d}{dx}(x^{\frac{4}{3}}-5)
integral de-1 a 3 de (1+4x)	\int\:_{-1}^{3}(1+4x)dx
derivada de 3x^3+5x	\frac{d}{dx}(3x^{3}+5x)
derivada de sqrt(x)(2-x^2)	\frac{d}{dx}(\sqrt{x}(2-x)^{2})
(\partial)/(\partial x)(xe^{-3z+2y})	\frac{\partial\:}{\partial\:x}(xe^{-3z+2y})
derivative arccos(3x^2)	derivative\:\arccos(3x^{2})
derivada de e^{1-cos(x})	\frac{d}{dx}(e^{1-\cos(x)})
derivada de xe^2	\frac{d}{dx}(xe^{2})
derivative 4x(2x-3)^7	derivative\:4x(2x-3)^{7}
(\partial)/(\partial x)(x^4sin(2x))	\frac{\partial\:}{\partial\:x}(x^{4}\sin(2x))
laplacetransform e^{-(t-1)}	laplacetransform\:e^{-(t-1)}
derivada de x-ln(sec(x+tan(x)))	\frac{d}{dx}(x-\ln(\sec(x)+\tan(x)))
derivative (-2x^3+x^2-2x-1)x^3	derivative\:(-2x^{3}+x^{2}-2x-1)x^{3}
derivada de 2e^{5x}	\frac{d}{dx}(2e^{5x})
integral de 2xy+2x	\int\:2xy+2xdx
f(t)=sin^2(t)	f(t)=\sin^{2}(t)
límite cuando x tiende a 3 de (x^2+x)/(x+3)	\lim\:_{x\to\:3}(\frac{x^{2}+x}{x+3})
integral de (13)/(x^2-1)	\int\:\frac{13}{x^{2}-1}dx
límite cuando x tiende a 0 de xe^{-x}	\lim\:_{x\to\:0}(xe^{-x})
integral de (9-x^2)/(5x^3+x)	\int\:\frac{9-x^{2}}{5x^{3}+x}dx
derivative f(x)=((2x+1)/(x+5))(3x-1)	derivative\:f(x)=(\frac{2x+1}{x+5})(3x-1)
(d^2)/(dx^2)(6/(7t^4))	\frac{d^{2}}{dx^{2}}(\frac{6}{7t^{4}})
derivative x^2ln(2x)	derivative\:x^{2}\ln(2x)
integral de ((sqrt(x)+3)^2)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+3)^{2}}{2\sqrt{x}}dx
integral de (3x^3+4x^2-2x^{-1}+13)	\int\:(3x^{3}+4x^{2}-2x^{-1}+13)dx
laplacetransform t^2cos(5t)	laplacetransform\:t^{2}\cos(5t)
derivative (sin(x))/(2+cos(x))	derivative\:\frac{\sin(x)}{2+\cos(x)}
taylor sin(5x),x=0	taylor\:\sin(5x),x=0
derivative 1/(ln(x+1))	derivative\:\frac{1}{\ln(x+1)}
(\partial)/(\partial y)(5x+y)	\frac{\partial\:}{\partial\:y}(5x+y)
d/(da)(sin^4(a)+cos^4(a))	\frac{d}{da}(\sin^{4}(a)+\cos^{4}(a))
integral de (sec(x)tan(x))/(-5+sec(x))	\int\:\frac{\sec(x)\tan(x)}{-5+\sec(x)}dx
límite cuando x tiende a 0+de 9cos(9x)	\lim\:_{x\to\:0+}(9\cos(9x))
integral de (e^x)/(e^x-2)	\int\:\frac{e^{x}}{e^{x}-2}dx
límite cuando x tiende a 0 de-4x^{-3}	\lim\:_{x\to\:0}(-4x^{-3})
(\partial)/(\partial y)(xy^2e^{x^2})	\frac{\partial\:}{\partial\:y}(xy^{2}e^{x^{2}})
límite cuando x tiende a-1-de 2x^2-4x+8	\lim\:_{x\to\:-1-}(2x^{2}-4x+8)
(\partial)/(\partial x)(6xy+5yz+xz-48)	\frac{\partial\:}{\partial\:x}(6xy+5yz+xz-48)
16y^{''}+152y^'+361y=0,y(0)=9,y^'(0)=2	16y^{\prime\:\prime\:}+152y^{\prime\:}+361y=0,y(0)=9,y^{\prime\:}(0)=2
(\partial)/(\partial y)(ln(1+x^2+y))	\frac{\partial\:}{\partial\:y}(\ln(1+x^{2}+y))
integral de (18)/((x^2-1)^2)	\int\:\frac{18}{(x^{2}-1)^{2}}dx
y^'+7x^{-1}y=x^2	y^{\prime\:}+7x^{-1}y=x^{2}
derivative 10arcsin(e^{x/2})	derivative\:10\arcsin(e^{\frac{x}{2}})
integral de (4x^2)/(x^2+7)	\int\:\frac{4x^{2}}{x^{2}+7}dx
límite cuando x tiende a 3 de 1/(x-2)	\lim\:_{x\to\:3}(\frac{1}{x-2})
y^{''}-y=(e^x)/(1+x^2)	y^{\prime\:\prime\:}-y=\frac{e^{x}}{1+x^{2}}
derivada de log_{e}(7x^{-2})	\frac{d}{dx}(\log_{e}(7x^{-2}))
integral de sin^3(6x)	\int\:\sin^{3}(6x)dx
derivative ln(2e^{-t}sin(t))	derivative\:\ln(2e^{-t}\sin(t))
tangent f(x)=x^2+3x+5	tangent\:f(x)=x^{2}+3x+5
(\partial)/(\partial y)(e^{-y})	\frac{\partial\:}{\partial\:y}(e^{-y})
derivative \sqrt[7]{x}	derivative\:\sqrt[7]{x}
límite cuando x tiende a 1 de 2x-2	\lim\:_{x\to\:1}(2x-2)
tangent y= 3/x	tangent\:y=\frac{3}{x}
integral de 1/((x^2+16)^3)	\int\:\frac{1}{(x^{2}+16)^{3}}dx
integral de 1/(3x^2+12)	\int\:\frac{1}{3x^{2}+12}dx
integral de u^{-5}(7-u^5+u^{10})	\int\:u^{-5}(7-u^{5}+u^{10})du
(dy)/(dx)-12y=e^{9x}y^2	\frac{dy}{dx}-12y=e^{9x}y^{2}
(\partial)/(\partial x)(4xye^{x-y^2})	\frac{\partial\:}{\partial\:x}(4xye^{x-y^{2}})
límite cuando x tiende a 0 de e^{x^2}-1	\lim\:_{x\to\:0}(e^{x^{2}}-1)
(dy)/(dx)=x^2-y-2,y(0)=1	\frac{dy}{dx}=x^{2}-y-2,y(0)=1
integral de 5x^{3/2}+2sqrt(x)	\int\:5x^{\frac{3}{2}}+2\sqrt{x}dx
integral de (1-2x^2-4/(x^{-3)})x^{-3}	\int\:(1-2x^{2}-\frac{4}{x^{-3}})x^{-3}dx
integral de (7x^2-12x)e^{2x}	\int\:(7x^{2}-12x)e^{2x}dx
límite cuando x tiende a infinity de x/(\sqrt[3]{x^3+7)}	\lim\:_{x\to\:\infty\:}(\frac{x}{\sqrt[3]{x^{3}+7}})
límite cuando x tiende a-2-de-3x^2+2	\lim\:_{x\to\:-2-}(-3x^{2}+2)
y^'= 1/2+1/4 sin(t)-y/(50)	y^{\prime\:}=\frac{1}{2}+\frac{1}{4}\sin(t)-\frac{y}{50}
integral de a/(b^{3θ)}	\int\:\frac{a}{b^{3θ}}dθ
límite cuando x tiende a 0 de (sin(x^0))/x	\lim\:_{x\to\:0}(\frac{\sin(x^{0})}{x})
integral de (sqrt(x^2-64))/(x^2)	\int\:\frac{\sqrt{x^{2}-64}}{x^{2}}dx
límite cuando x tiende a 3 de ((x^3-5x+6)^{40})/((x^4-10x^2+9)^{20)}	\lim\:_{x\to\:3}(\frac{(x^{3}-5x+6)^{40}}{(x^{4}-10x^{2}+9)^{20}})
límite cuando x tiende a 0 de 3x-a	\lim\:_{x\to\:0}(3x-a)
3y^{''}-13y^'+4y=8x+30	3y^{\prime\:\prime\:}-13y^{\prime\:}+4y=8x+30
taylor xsin(-2x)pi	taylor\:x\sin(-2x)π
derivative 8x^2	derivative\:8x^{2}
integral de 5x^2*e^{5x}	\int\:5x^{2}\cdot\:e^{5x}dx
derivative 1/2 (2t+1)^{-1/2}	derivative\:\frac{1}{2}(2t+1)^{-\frac{1}{2}}
raíces ax^2e^{2x}	roots\:ax^{2}e^{2x}
serie de n=1 a infinity de 6/(n^2+2n)	\sum\:_{n=1}^{\infty\:}\frac{6}{n^{2}+2n}
integral de 1 a 10 de (21)/(x^3)	\int\:_{1}^{10}\frac{21}{x^{3}}dx
límite cuando x tiende a-1 de 4/((x+1)^2)	\lim\:_{x\to\:-1}(\frac{4}{(x+1)^{2}})
derivada de sin^2((x^2+1/x))	\frac{d}{dx}(\sin^{2}(\frac{x^{2}+1}{x}))
límite cuando x tiende a 4-de 1/(sqrt(4-x))	\lim\:_{x\to\:4-}(\frac{1}{\sqrt{4-x}})
derivative (11)/((2x^3-5)^4)	derivative\:\frac{11}{(2x^{3}-5)^{4}}
integral de (x^5+2)/(x^2-1)	\int\:\frac{x^{5}+2}{x^{2}-1}dx
derivada de sin(x*cos(x))	\frac{d}{dx}(\sin(x)\cdot\:\cos(x))
y^{''}+9y=2cos(3x),y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+9y=2\cos(3x),y(0)=1,y^{\prime\:}(0)=0
(\partial)/(\partial x)(x^2*e^{-2y})	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:e^{-2y})
(\partial)/(\partial x)(3y^2x)	\frac{\partial\:}{\partial\:x}(3y^{2}x)
(\partial)/(\partial x)(6x^{7y})	\frac{\partial\:}{\partial\:x}(6x^{7y})
derivada de sin(x+sin(7x))	\frac{d}{dx}(\sin(x+\sin(7x)))
derivative y=(x-1)e^x	derivative\:y=(x-1)e^{x}

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