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Problemas populares

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Problemas populares de Cálculo

derivada de (16/((2x+1)^3))	\frac{d}{dx}(\frac{16}{(2x+1)^{3}})
(\partial)/(\partial x)(4x-4x^3)	\frac{\partial\:}{\partial\:x}(4x-4x^{3})
integral de (1/((x-1)^2))	\int\:(\frac{1}{(x-1)^{2}})dx
y^{''}+9y=cos(2t)	y^{\prime\:\prime\:}+9y=\cos(2t)
límite cuando h tiende a 0 de (((4+h)-4))/h	\lim\:_{h\to\:0}(\frac{((4+h)-4)}{h})
derivada de axe^{4x}	\frac{d}{dx}(axe^{4x})
integral de (x^2)/((x-1)(x+1))	\int\:\frac{x^{2}}{(x-1)(x+1)}dx
integral de 12xzcos(xz^2)	\int\:12xz\cos(xz^{2})dz
derivative f(x)=ln(sqrt(1+sin^2(x)))	derivative\:f(x)=\ln(\sqrt{1+\sin^{2}(x)})
límite cuando x tiende a-0 de x^2	\lim\:_{x\to\:-0}(x^{2})
integral de e^x(x^2-2x-1)	\int\:e^{x}(x^{2}-2x-1)dx
(\partial)/(\partial x)(xln(2y-x))	\frac{\partial\:}{\partial\:x}(x\ln(2y-x))
inversalaplace (s-3)/((s-2)^2)	inverselaplace\:\frac{s-3}{(s-2)^{2}}
límite cuando x tiende a 0 de (6x-x^2)/x	\lim\:_{x\to\:0}(\frac{6x-x^{2}}{x})
límite cuando t tiende a 1 de (t^2-1)/(1-1)	\lim\:_{t\to\:1}(\frac{t^{2}-1}{1-1})
derivada de (x+2^{arctan(x)})	\frac{d}{dx}((x+2)^{\arctan(x)})
(\partial)/(\partial y)((2x+3)/(4y+1))	\frac{\partial\:}{\partial\:y}(\frac{2x+3}{4y+1})
integral de sqrt(x)e^x	\int\:\sqrt{x}e^{x}dx
y^{''}-(y^')/x =3x	y^{\prime\:\prime\:}-\frac{y^{\prime\:}}{x}=3x
derivative (x^5)/5	derivative\:\frac{x^{5}}{5}
y^'+2y=xe^{-2x}	y^{\prime\:}+2y=xe^{-2x}
derivative (4x-2)^3(x^2+1)^2	derivative\:(4x-2)^{3}(x^{2}+1)^{2}
derivative f(x)=(45)/(0.01x^2+1)	derivative\:f(x)=\frac{45}{0.01x^{2}+1}
laplacetransformación cos^2(5t)	laplacetransform\:\cos^{2}(5t)
x^{''''}+8x^{''}+16x=0	x^{\prime\:\prime\:\prime\:\prime\:}+8x^{\prime\:\prime\:}+16x=0
área y=x^2-33,y=7-3x	area\:y=x^{2}-33,y=7-3x
25y^{''}+9y=0	25y^{\prime\:\prime\:}+9y=0
derivative 1/((x+1)^2)	derivative\:\frac{1}{(x+1)^{2}}
(dy}{dx}=\frac{(x-2))/x	\frac{dy}{dx}=\frac{(x-2)}{x}
derivative (2x^2+x+1)^{-3}	derivative\:(2x^{2}+x+1)^{-3}
(da)/(da)	\frac{da}{da}
(dy)/(dt)=((2y^4+t^4))/(ty^3)	\frac{dy}{dt}=\frac{(2y^{4}+t^{4})}{ty^{3}}
(dy)/(dt)+20 6/5-6/5 e^{-20t}=24	\frac{dy}{dt}+20\frac{6}{5}-\frac{6}{5}e^{-20t}=24
integral de (tan^2(x))/(sec(x))	\int\:\frac{\tan^{2}(x)}{\sec(x)}dx
límite cuando x tiende a 0 de (e^{9x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{9x}-1}{x})
(dy)/(dx)+3/x y=2x+5	\frac{dy}{dx}+\frac{3}{x}y=2x+5
inversalaplace x/((x+2)(x^2+4))	inverselaplace\:\frac{x}{(x+2)(x^{2}+4)}
integral de (ln(x))/(x^5)	\int\:\frac{\ln(x)}{x^{5}}dx
integral de 0 a 4 de x^2(4-x)^3	\int\:_{0}^{4}x^{2}(4-x)^{3}dx
límite cuando x tiende a 1 de 1/(x(1-x)^2)	\lim\:_{x\to\:1}(\frac{1}{x(1-x)^{2}})
derivada de 10(20x-x^{3/2})	\frac{d}{dx}(10(20x-x^{\frac{3}{2}}))
límite cuando x tiende a 1 de x/(x^2+7)	\lim\:_{x\to\:1}(\frac{x}{x^{2}+7})
y^{''}+6y^'+10y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+10y=0
integral de (2/(1-x)+((ln(x))^2)/x)	\int\:(\frac{2}{1-x}+\frac{(\ln(x))^{2}}{x})dx
integral de (8x^3-10x^{-6})	\int\:(8x^{3}-10x^{-6})dx
(\partial)/(\partial x)(e^{xy}ln(y))	\frac{\partial\:}{\partial\:x}(e^{xy}\ln(y))
(\partial)/(\partial x)(xe^x)	\frac{\partial\:}{\partial\:x}(xe^{x})
tangent 8x^3	tangent\:8x^{3}
límite cuando x tiende a 3 de (2x+3)/(x-2)	\lim\:_{x\to\:3}(\frac{2x+3}{x-2})
(dy)/(dx)-2xy=-15x^2e^{x^2}	\frac{dy}{dx}-2xy=-15x^{2}e^{x^{2}}
tangent f(x)=6x^4+7x-8,(1,5)	tangent\:f(x)=6x^{4}+7x-8,(1,5)
integral de 0 a 1/4 de 2arcsin(4x)	\int\:_{0}^{\frac{1}{4}}2\arcsin(4x)dx
integral de (v(x))/(cos(x))	\int\:\frac{v(x)}{\cos(x)}
límite cuando x tiende a 2 de x^5-32x	\lim\:_{x\to\:2}(x^{5}-32x)
2(x^2+y^2)dx+(7xy)dy=0	2(x^{2}+y^{2})dx+(7xy)dy=0
integral de 0 a 2 de (x^2)/(x^2+4)	\int\:_{0}^{2}\frac{x^{2}}{x^{2}+4}dx
integral de (2-3x)^2	\int\:(2-3x)^{2}dx
ydx=(ye^{y-2x})dy	ydx=(ye^{y-2x})dy
derivative f(x)=sqrt(6-7x)	derivative\:f(x)=\sqrt{6-7x}
límite cuando x tiende a infinity de (5x+6x^2)/(3x-8)	\lim\:_{x\to\:\infty\:}(\frac{5x+6x^{2}}{3x-8})
laplacetransformación 1/2	laplacetransform\:\frac{1}{2}
límite cuando x tiende a 5 de ((x^4-625))/(x-5)	\lim\:_{x\to\:5}(\frac{(x^{4}-625)}{x-5})
y^'+4y^2e^{-1x}=0,y(0)=3	y^{\prime\:}+4y^{2}e^{-1x}=0,y(0)=3
derivative e^{3t}cos(3t)	derivative\:e^{3t}\cos(3t)
(\partial)/(\partial y)(y^2e^{xy})	\frac{\partial\:}{\partial\:y}(y^{2}e^{xy})
integral de (5x^2-4x)e^{2x}	\int\:(5x^{2}-4x)e^{2x}dx
integral de 1/2 a 4 de 2/x-1/8 x	\int\:_{\frac{1}{2}}^{4}\frac{2}{x}-\frac{1}{8}xdx
derivada de (2x/(e^x))	\frac{d}{dx}(\frac{2x}{e^{x}})
derivative x/(x^2+5)	derivative\:\frac{x}{x^{2}+5}
integral de cos^{12}(x)sin^{15}(x)	\int\:\cos^{12}(x)\sin^{15}(x)dx
laplacetransformación cos(15t)	laplacetransform\:\cos(15t)
derivada de (2x/(2+x^2))	\frac{d}{dx}(\frac{2x}{2+x^{2}})
y^{''}+5y^'+6y=0,y(0)=2,y^'(0)=0	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=0,y(0)=2,y^{\prime\:}(0)=0
inversalaplace (1/(s+1)-1)/(s^2-1)	inverselaplace\:\frac{\frac{1}{s+1}-1}{s^{2}-1}
integral de z^2(1/(sqrt(2pi))e^{-1/2 z^2})	\int\:z^{2}(\frac{1}{\sqrt{2π}}e^{-\frac{1}{2}z^{2}})dz
integral de 3sin^2(x)	\int\:3\sin^{2}(x)dx
integral de (\sqrt[4]{x^3}-2/(\sqrt[3]{x^2)})	\int\:(\sqrt[4]{x^{3}}-\frac{2}{\sqrt[3]{x^{2}}})dx
(\partial)/(\partial y)(sqrt(x^y+ln(z)))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{y}+\ln(z)})
(dy)/(dt)-5y=sin(2t)	\frac{dy}{dt}-5y=\sin(2t)
derivative y=47(2t^3-9)^{6/5}	derivative\:y=47(2t^{3}-9)^{\frac{6}{5}}
integral de 3/(5y-4)	\int\:\frac{3}{5y-4}dy
límite cuando x tiende a 0 de (6xn-5xn-1-7xn-2)/(-6xn-4xn-2)	\lim\:_{x\to\:0}(\frac{6xn-5xn-1-7xn-2}{-6xn-4xn-2})
derivative f(x)=(x^4+3x^2-2)^5	derivative\:f(x)=(x^{4}+3x^{2}-2)^{5}
inversalaplace ln(s+1)	inverselaplace\:\ln(s+1)
integral de (sqrt(3-x))/(x-4)	\int\:\frac{\sqrt{3-x}}{x-4}dx
pendiente (0,2),(4,-1)	slope\:(0,2),(4,-1)
integral de (sin^7(2x))/(cos^4(2x))	\int\:\frac{\sin^{7}(2x)}{\cos^{4}(2x)}dx
(\partial)/(\partial x)(xy^3z^2)	\frac{\partial\:}{\partial\:x}(xy^{3}z^{2})
tangent f(x)=x^3-9x+5,\at x=3	tangent\:f(x)=x^{3}-9x+5,\at\:x=3
derivative y=sec(x^2+3x)	derivative\:y=\sec(x^{2}+3x)
integral de 2x(x^2-7)^{104}	\int\:2x(x^{2}-7)^{104}dx
derivada de 15ln(x+4cos(x)+o)	\frac{d}{dx}(15\ln(x)+4\cos(x)+o)
derivada de (4x^2-3x(2x+1))	\frac{d}{dx}((4x^{2}-3x)(2x+1))
f(x)=2x^2cos(4x)	f(x)=2x^{2}\cos(4x)
serie de n=1 a infinity de n/(2n-1)	\sum\:_{n=1}^{\infty\:}\frac{n}{2n-1}
derivative 1-log_{e}(x)	derivative\:1-\log_{e}(x)
(\partial)/(\partial z)((2x-2z)/(3y+2z))	\frac{\partial\:}{\partial\:z}(\frac{2x-2z}{3y+2z})
integral de (4x)/(x^2+4x+4)	\int\:\frac{4x}{x^{2}+4x+4}dx
(dy)/(dx)-4/x y=2x^5e^{y/(x^4)}	\frac{dy}{dx}-\frac{4}{x}y=2x^{5}e^{\frac{y}{x^{4}}}
área y^2=x+6,y^2=6-x	area\:y^{2}=x+6,y^{2}=6-x

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