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Problemas populares

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Problemas populares de Cálculo

integral de (cos(θ))/(sqrt(2+sin^2(θ)))	\int\:\frac{\cos(θ)}{\sqrt{2+\sin^{2}(θ)}}dθ
derivative f(-7)= 1/(x+3)	derivative\:f(-7)=\frac{1}{x+3}
derivative y= 2/(3x^2)	derivative\:y=\frac{2}{3x^{2}}
límite cuando x tiende a 0 de (4x^2)/x	\lim\:_{x\to\:0}(\frac{4x^{2}}{x})
y^'=9y^2+xy^2,y(0)=1	y^{\prime\:}=9y^{2}+xy^{2},y(0)=1
(\partial)/(\partial x)((41-x^2-y^2)^{1/2})	\frac{\partial\:}{\partial\:x}((41-x^{2}-y^{2})^{\frac{1}{2}})
integral de 0 a 1 de xe^{-4x}	\int\:_{0}^{1}xe^{-4x}dx
integral de 1/(xsqrt(25x^2+16))	\int\:\frac{1}{x\sqrt{25x^{2}+16}}dx
sqrt(x)+sqrt(y)(dy)/(dx)=0	\sqrt{x}+\sqrt{y}\frac{dy}{dx}=0
derivada de 3e^{2x}+2e^{2x}x	\frac{d}{dx}(3e^{2x}+2e^{2x}x)
tangent f(x)=x^2+7,16,\at x=3	tangent\:f(x)=x^{2}+7,16,\at\:x=3
integral de (e^{-3t})/t	\int\:\frac{e^{-3t}}{t}dt
derivative 1/3 (3-5x)^3	derivative\:\frac{1}{3}(3-5x)^{3}
yy^'+4x=0	yy^{\prime\:}+4x=0
límite cuando x tiende a 2 de (x^3+8)/(x+2)	\lim\:_{x\to\:2}(\frac{x^{3}+8}{x+2})
integral de x^{2x}(ln(x)+1)	\int\:x^{2x}(\ln(x)+1)dx
d/(dt)(2t^2)	\frac{d}{dt}(2t^{2})
límite cuando x tiende a-8-de x^2+9/(x+8)	\lim\:_{x\to\:-8-}(x^{2}+\frac{9}{x+8})
derivative (x^6)/6+1/(16x^4)	derivative\:\frac{x^{6}}{6}+\frac{1}{16x^{4}}
sin(x)y^'+cos(x)y=2	\sin(x)y^{\prime\:}+\cos(x)y=2
derivative f(x)=((x^2))/((5+x))	derivative\:f(x)=\frac{(x^{2})}{(5+x)}
tangent f(x)=4x^2-2x+6,\at x=4	tangent\:f(x)=4x^{2}-2x+6,\at\:x=4
integral de 0 a 1 de 7x5^x	\int\:_{0}^{1}7x5^{x}dx
(\partial)/(\partial y)(x^2+sqrt(x^2+y))	\frac{\partial\:}{\partial\:y}(x^{2}+\sqrt{x^{2}+y})
integral de-1 a 3 de (x^2-2x-3)	\int\:_{-1}^{3}(x^{2}-2x-3)dx
derivative ((2x+1))/(x+2)	derivative\:\frac{(2x+1)}{x+2}
integral de (x-1)/(x^2-x-2)	\int\:\frac{x-1}{x^{2}-x-2}dx
d/(dt)(2t^4)	\frac{d}{dt}(2t^{4})
derivative sin(x^2+x)	derivative\:\sin(x^{2}+x)
derivada de 1/(1+e^{-wx})	\frac{d}{dx}(\frac{1}{1+e^{-wx}})
integral de-(2cos(x))/(sin(x))	\int\:-\frac{2\cos(x)}{\sin(x)}dx
límite cuando x tiende a 5+de 6/(x-5)	\lim\:_{x\to\:5+}(\frac{6}{x-5})
límite cuando x tiende a 0 de x^3cos(6/x)	\lim\:_{x\to\:0}(x^{3}\cos(\frac{6}{x}))
integral de (ln(x))/((1+x)^2)	\int\:\frac{\ln(x)}{(1+x)^{2}}dx
integral de 3x^{1/2}	\int\:3x^{\frac{1}{2}}dx
tangent y=x^3+3x^2+2	tangent\:y=x^{3}+3x^{2}+2
derivada de (e^{-t}/((x^2+y(t,x)^2)^2))	\frac{d}{dx}(\frac{e^{-t}}{(x^{2}+y(t,x)^{2})^{2}})
integral de (sec^2(x))/(tan^4(x))	\int\:\frac{\sec^{2}(x)}{\tan^{4}(x)}dx
y^'+xy=xy^2	y^{\prime\:}+xy=xy^{2}
integral de a a b de 1/(x^3)	\int\:_{a}^{b}\frac{1}{x^{3}}dx
derivative f(x)50-sqrt(x)	derivative\:f(x)50-\sqrt{x}
derivative f(x)=6+2/x+3/(x^2),x=x	derivative\:f(x)=6+\frac{2}{x}+\frac{3}{x^{2}},x=x
tangent f(x)=2x^2-3x+3	tangent\:f(x)=2x^{2}-3x+3
integral de (x^2+2x+3)/(x^3+3x^2+9x)	\int\:\frac{x^{2}+2x+3}{x^{3}+3x^{2}+9x}dx
área y=x^2-2x+3,[-2,2]	area\:y=x^{2}-2x+3,[-2,2]
integral de 0 a 1 de 7/(1+t^2)	\int\:_{0}^{1}\frac{7}{1+t^{2}}dt
derivada de 6+2ln(x)	\frac{d}{dx}(6+2\ln(x))
derivada de x-5x^2	\frac{d}{dx}(x-5x^{2})
integral de 1/((1+4x^2))	\int\:\frac{1}{(1+4x^{2})}dx
(dx)/(dt)-3x=cos(4t)	\frac{dx}{dt}-3x=\cos(4t)
límite cuando x tiende a 2-de 4/((x-2)^3)	\lim\:_{x\to\:2-}(\frac{4}{(x-2)^{3}})
derivada de (x^2/(y-1))	\frac{d}{dx}(\frac{x^{2}}{y-1})
derivada de (sinh(x^2)^{1/x})	\frac{d}{dx}((\sinh(x^{2}))^{\frac{1}{x}})
(\partial)/(\partial y)(5x^4y)	\frac{\partial\:}{\partial\:y}(5x^{4}y)
derivada de 5^x-1	\frac{d}{dx}(5^{x}-1)
derivative (sin(x)+cos(x))/(e^x)	derivative\:\frac{\sin(x)+\cos(x)}{e^{x}}
integral de (3x+1)(3x^2+2x)^{1/3}	\int\:(3x+1)(3x^{2}+2x)^{\frac{1}{3}}dx
derivada de 1/(x^2-2x+2)	\frac{d}{dx}(\frac{1}{x^{2}-2x+2})
límite cuando x tiende a 0 de (2x+1)/(\|x\|)	\lim\:_{x\to\:0}(\frac{2x+1}{\left\|x\right\|})
y^{''}-4y^'-4y=0	y^{\prime\:\prime\:}-4y^{\prime\:}-4y=0
integral de 0 a pi de x^2sin^2(x)	\int\:_{0}^{π}x^{2}\sin^{2}(x)dx
derivative (sin(x^2-5))/(2x)	derivative\:\frac{\sin(x^{2}-5)}{2x}
límite cuando x tiende a 1 de (x^2-1)/(x+1)	\lim\:_{x\to\:1}(\frac{x^{2}-1}{x+1})
integral de ucos(2u)	\int\:u\cos(2u)du
(df)/(dx)f(x)=cos(2x)	\frac{df}{dx}f(x)=\cos(2x)
(cos(7x))y^'-7(tan(7x))y=9sec(7x)	(\cos(7x))y^{\prime\:}-7(\tan(7x))y=9\sec(7x)
área 1-x^2,29-11x	area\:1-x^{2},29-11x
serie de n=0 a infinity de (5^n)/(8^n)	\sum\:_{n=0}^{\infty\:}\frac{5^{n}}{8^{n}}
derivative (2x^3)/5	derivative\:\frac{2x^{3}}{5}
integral de 1 a 2 de 3/(x^4)	\int\:_{1}^{2}\frac{3}{x^{4}}dx
(dr)/(dθ)=(r^2+4rθ)/(2θ^2)	\frac{dr}{dθ}=\frac{r^{2}+4rθ}{2θ^{2}}
tangent f(x)=x^4+3x-2,(1,2)	tangent\:f(x)=x^{4}+3x-2,(1,2)
límite cuando x tiende a 0-de 2^{1/x}	\lim\:_{x\to\:0-}(2^{\frac{1}{x}})
derivative sin(3x^2+2)	derivative\:\sin(3x^{2}+2)
integral de (2x-1)/(x^2+1)	\int\:\frac{2x-1}{x^{2}+1}dx
d/(dz)(1/(z^2))	\frac{d}{dz}(\frac{1}{z^{2}})
derivative ln(1+e^{-ax})	derivative\:\ln(1+e^{-ax})
integral de (x+1)(6x-5)	\int\:(x+1)(6x-5)dx
derivative (7x^2)/(4e^x-x)	derivative\:\frac{7x^{2}}{4e^{x}-x}
integral de ((x^2+x+1))/(sqrt(x))	\int\:\frac{(x^{2}+x+1)}{\sqrt{x}}dx
derivative 5x^{-2}	derivative\:5x^{-2}
derivada de sex^2(x)	\frac{d}{dx}(sex^{2}(x))
integral de 5tan(x)sec^7(x)	\int\:5\tan(x)\sec^{7}(x)dx
integral de t^2cos(t)	\int\:t^{2}\cos(t)dt
integral de (-3)/(x^2+1)	\int\:\frac{-3}{x^{2}+1}dx
límite cuando x tiende a 1 de 7-2x	\lim\:_{x\to\:1}(7-2x)
integral de-1/y	\int\:-\frac{1}{y}dy
derivative (x-9)(x-3)^2	derivative\:(x-9)(x-3)^{2}
derivative y=(e^x+e^{-x})/(e^x-e^{-x)}	derivative\:y=\frac{e^{x}+e^{-x}}{e^{x}-e^{-x}}
derivative y=x^{5sin(x)}	derivative\:y=x^{5\sin(x)}
y^'=((x^3y^3+2x^3))/((y^2))	y^{\prime\:}=\frac{(x^{3}y^{3}+2x^{3})}{(y^{2})}
inversalaplace 2/((s-2)^4)	inverselaplace\:\frac{2}{(s-2)^{4}}
integral de (x*arcsin(x))/(sqrt(1-x^2))	\int\:\frac{x\cdot\:\arcsin(x)}{\sqrt{1-x^{2}}}dx
derivative f(x)=sin^2(x)cos(x)	derivative\:f(x)=\sin^{2}(x)\cos(x)
derivative-xe^{-x}+e^{-x}	derivative\:-xe^{-x}+e^{-x}
derivative y=e^{-x}-e^{-x}x	derivative\:y=e^{-x}-e^{-x}x
derivada de 2e^x+e^xx	\frac{d}{dx}(2e^{x}+e^{x}x)
integral de 2xsqrt(x)-1/(sqrt(x))	\int\:2x\sqrt{x}-\frac{1}{\sqrt{x}}dx
derivada de ln(52x)	\frac{d}{dx}(\ln(52x))
(dy)/(dx)+9xy=8x	\frac{dy}{dx}+9xy=8x

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