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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a 0 de x^4*cos(2/x)	\lim\:_{x\to\:0}(x^{4}\cdot\:\cos(\frac{2}{x}))
integral de 1 a 4 de e^{2x+1}	\int\:_{1}^{4}e^{2x+1}dx
(\partial)/(\partial y)(5e^xcos(yz))	\frac{\partial\:}{\partial\:y}(5e^{x}\cos(yz))
integral de 1/(sqrt(x)-2x\sqrt{x)}	\int\:\frac{1}{\sqrt{x}-2x\sqrt{x}}dx
integral de (e^{3x})/(x^2)	\int\:\frac{e^{3x}}{x^{2}}dx
límite cuando x tiende a 6 de 1/(x^2-36)	\lim\:_{x\to\:6}(\frac{1}{x^{2}-36})
(t-cos(t))^'	(t-\cos(t))^{\prime\:}
límite cuando x tiende a 0 de 1/(1+sin(x))	\lim\:_{x\to\:0}(\frac{1}{1+\sin(x)})
(dh)/(dt)=-h	\frac{dh}{dt}=-h
integral de 4/((2x+1)^3)	\int\:\frac{4}{(2x+1)^{3}}dx
derivada de sqrt((x+1(x+2)))	\frac{d}{dx}(\sqrt{(x+1)(x+2)})
límite cuando x tiende a 0 de x-8	\lim\:_{x\to\:0}(x-8)
(dP)/(dt)=-0.02P	\frac{dP}{dt}=-0.02P
integral de 0 a infinity de xe^{2x}	\int\:_{0}^{\infty\:}xe^{2x}dx
derivada de (\sqrt[3]{(1-x^3^4})/(x(1-x)^3))	\frac{d}{dx}(\frac{\sqrt[3]{(1-x^{3})^{4}}}{x(1-x)^{3}})
derivada de 4x^2-7x	\frac{d}{dx}(4x^{2}-7x)
integral de ((2x+1))/((x-1))	\int\:\frac{(2x+1)}{(x-1)}dx
integral de sinh(7-2x)	\int\:\sinh(7-2x)dx
y^{''}+4y^'+5y=35e^{-4x}	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=35e^{-4x}
integral de 2x^2-3	\int\:2x^{2}-3dx
derivative y=(cos(4x))/(x^2)	derivative\:y=\frac{\cos(4x)}{x^{2}}
integral de-8x^2e^x	\int\:-8x^{2}e^{x}dx
derivative x^{3/2}	derivative\:x^{\frac{3}{2}}
límite cuando x tiende a 3-de 9/((x-3)^5)	\lim\:_{x\to\:3-}(\frac{9}{(x-3)^{5}})
integral de (y-1)^{-2}	\int\:(y-1)^{-2}dy
integral de x(x^2+3)^3	\int\:x(x^{2}+3)^{3}dx
derivada de (2x+1/(3-5x))	\frac{d}{dx}(\frac{2x+1}{3-5x})
integral de (1-x)^9	\int\:(1-x)^{9}dx
derivative f(x)=(sin(x))/(cos(x))	derivative\:f(x)=\frac{\sin(x)}{\cos(x)}
integral de sqrt(x^2-2)	\int\:\sqrt{x^{2}-2}dx
integral de x^2sqrt(1-x^2)	\int\:x^{2}\sqrt{1-x^{2}}dx
integral de sin(2x)sqrt(5+sin^2(x))	\int\:\sin(2x)\sqrt{5+\sin^{2}(x)}dx
derivada de ae^{-5x}+be^{-3x}+cxe^{-x}	\frac{d}{dx}(ae^{-5x}+be^{-3x}+cxe^{-x})
integral de 0 a 2 de 4.0553e^{1.8t}	\int\:_{0}^{2}4.0553e^{1.8t}dt
derivada de (4x^{4x})	\frac{d}{dx}((4x)^{4x})
(\partial)/(\partial x)(((x+y))/(x+z))	\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{x+z})
derivada de sqrt(4x-5)	\frac{d}{dx}(\sqrt{4x-5})
taylor 1/(sqrt(3-2x))	taylor\:\frac{1}{\sqrt{3-2x}}
(d^4)/(dx^4)(1/x)	\frac{d^{4}}{dx^{4}}(\frac{1}{x})
área y=(x^2)/(x^3-3x),y= 1/(x^3-3x),2,21	area\:y=\frac{x^{2}}{x^{3}-3x},y=\frac{1}{x^{3}-3x},2,21
(d^2)/(dx^2)(2e^{-x/4})	\frac{d^{2}}{dx^{2}}(2e^{-\frac{x}{4}})
integral de 1/(sqrt(400+x^2))	\int\:\frac{1}{\sqrt{400+x^{2}}}dx
integral de e^{-0.004t}	\int\:e^{-0.004t}dt
integral de 1 a 5 de 3/(x^2+3x)	\int\:_{1}^{5}\frac{3}{x^{2}+3x}dx
(\partial)/(\partial y)(x^5+x^2y+x+2)	\frac{\partial\:}{\partial\:y}(x^{5}+x^{2}y+x+2)
integral de 1/x-e^{-x}	\int\:\frac{1}{x}-e^{-x}dx
integral de 1/(4x+6sqrt(x))	\int\:\frac{1}{4x+6\sqrt{x}}dx
serie de n=1 a infinity de 1/(2n-1)	\sum\:_{n=1}^{\infty\:}\frac{1}{2n-1}
x(dy}{dx}=\frac{x^3)/y-(5x^5)/y-1/(xy)	x\frac{dy}{dx}=\frac{x^{3}}{y}-\frac{5x^{5}}{y}-\frac{1}{xy}
tangent f(x)= 1/x ,\at x=3	tangent\:f(x)=\frac{1}{x},\at\:x=3
límite cuando x tiende a+0 de (1+6x)^{4/x}	\lim\:_{x\to\:+0}((1+6x)^{\frac{4}{x}})
derivada de-2e^xsin(x)	\frac{d}{dx}(-2e^{x}\sin(x))
integral de xe^{4x^2}	\int\:xe^{4x^{2}}dx
límite cuando x tiende a 5+de (x+5)/(x+5)	\lim\:_{x\to\:5+}(\frac{x+5}{x+5})
integral de x^{-2}+x^{-1}+1+x+cos(x)	\int\:x^{-2}+x^{-1}+1+x+\cos(x)dx
serie de n=1 a infinity de 1/(2*n)	\sum\:_{n=1}^{\infty\:}\frac{1}{2\cdot\:n}
derivative (sqrt(x))/(x+5)	derivative\:\frac{\sqrt{x}}{x+5}
integral de 4/(sqrt(64-36x^2))	\int\:\frac{4}{\sqrt{64-36x^{2}}}dx
derivada de 3pi	\frac{d}{dx}(3π)
límite cuando x tiende a 2-de 9-x^2	\lim\:_{x\to\:2-}(9-x^{2})
d/(dy)(sqrt(-y+1))	\frac{d}{dy}(\sqrt{-y+1})
derivada de-(12/(x^6))	\frac{d}{dx}(-\frac{12}{x^{6}})
integral de (x+1)/(sqrt(x^3))	\int\:\frac{x+1}{\sqrt{x^{3}}}dx
límite cuando z tiende a i de z^2+2z	\lim\:_{z\to\:i}(z^{2}+2z)
y^{''}-4y^'+4y=(e^{2x})/x	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=\frac{e^{2x}}{x}
derivada de (4x/(sqrt(x^2+1)))	\frac{d}{dx}(\frac{4x}{\sqrt{x^{2}+1}})
derivada de (sqrt(x)-2/(\sqrt[3]{x)})	\frac{d}{dx}(\frac{\sqrt{x}-2}{\sqrt[3]{x}})
d/(ds)(s/(s^2+25))	\frac{d}{ds}(\frac{s}{s^{2}+25})
integral de (4x+3)^7	\int\:(4x+3)^{7}dx
integral de 6x^2(1-x)	\int\:6x^{2}(1-x)dx
integral de (17)/(17+e^x)	\int\:\frac{17}{17+e^{x}}dx
integral de 0 a infinity de xe^{-5x}	\int\:_{0}^{\infty\:}xe^{-5x}dx
derivada de 2^{tan(4x}+(csc^3(x))/(ln(x^2)))	\frac{d}{dx}(2^{\tan(4x)}+\frac{\csc^{3}(x)}{\ln(x^{2})})
límite cuando x tiende a-1 de (sin(pi/2)x+2^{-3x})^2	\lim\:_{x\to\:-1}((\sin(\frac{π}{2})x+2^{-3x})^{2})
integral de 29tan^5(x)sec^4(x)	\int\:29\tan^{5}(x)\sec^{4}(x)dx
integral de 0 a 4 de 7e^{-x^2}	\int\:_{0}^{4}7e^{-x^{2}}dx
derivative F(x)=(7x^6+4x^3)^4	derivative\:F(x)=(7x^{6}+4x^{3})^{4}
límite cuando x tiende a 0 de 1/(x-4)	\lim\:_{x\to\:0}(\frac{1}{x-4})
integral de sin(x)sin(3x)	\int\:\sin(x)\sin(3x)dx
implicit (dy)/(dx),y=x^{3x}	implicit\:\frac{dy}{dx},y=x^{3x}
derivative f(x)=sqrt(t)	derivative\:f(x)=\sqrt{t}
derivada de 1/(x^2+1/(x^6))	\frac{d}{dx}(\frac{1}{x^{2}}+\frac{1}{x^{6}})
derivada de (3x^4/5)	\frac{d}{dx}(\frac{3x^{4}}{5})
inversalaplace s/(s^2+6s+10)	inverselaplace\:\frac{s}{s^{2}+6s+10}
y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21	y^{\prime\:\prime\:}+7y^{\prime\:}=0,y(0)=-5,y^{\prime\:}(0)=-21
integral de 3sqrt(x)e^{sqrt(x)}	\int\:3\sqrt{x}e^{\sqrt{x}}dx
integral de 1/(16e^{-2x)+e^{2x}}	\int\:\frac{1}{16e^{-2x}+e^{2x}}dx
límite cuando t tiende a 0 de (sin(k)t)/t	\lim\:_{t\to\:0}(\frac{\sin(k)t}{t})
integral de arccot(15x)	\int\:\arccot(15x)dx
integral de 3x+x^2y	\int\:3x+x^{2}ydx
derivative 1/10 (e^{5x}+e^{-5x})	derivative\:\frac{1}{10}(e^{5x}+e^{-5x})
derivative y=sqrt(e^{2x)+x}	derivative\:y=\sqrt{e^{2x}+x}
derivative f(x)=(4x)/(x+1)	derivative\:f(x)=\frac{4x}{x+1}
integral de (x^5)/((8-x^6)^2)	\int\:\frac{x^{5}}{(8-x^{6})^{2}}dx
integral de 2/(5x-8)	\int\:\frac{2}{5x-8}dx
integral de ((x^3-4x-10))/((x^2-x-6))	\int\:\frac{(x^{3}-4x-10)}{(x^{2}-x-6)}dx
integral de 5/((t^2+1)^{3/2)}	\int\:\frac{5}{(t^{2}+1)^{\frac{3}{2}}}dt
derivada de-7/(x^4)	\frac{d}{dx}(-\frac{7}{x^{4}})
derivative y= x/(x-1)	derivative\:y=\frac{x}{x-1}
integral de 0 a 1 de 1-x^{2/5}	\int\:_{0}^{1}1-x^{\frac{2}{5}}dx

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