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Problemas populares de Cálculo

10xy^'-7y=2x^4	10xy^{\prime\:}-7y=2x^{4}
(\partial)/(\partial y)(z^2x+y^3)	\frac{\partial\:}{\partial\:y}(z^{2}x+y^{3})
derivative f(x)=x-3x^{1/3}	derivative\:f(x)=x-3x^{\frac{1}{3}}
derivative Ansqrt(n-b)	derivative\:An\sqrt{n-b}
integral de 0 a 1 de x^2cos(x^3)	\int\:_{0}^{1}x^{2}\cos(x^{3})dx
derivada de 6x^7-2x^5+2	\frac{d}{dx}(6x^{7}-2x^{5}+2)
simplificar 6/(\sqrt[3]{x)}	simplify\:\frac{6}{\sqrt[3]{x}}
serie de n=0 a infinity de ne^{-n}	\sum\:_{n=0}^{\infty\:}ne^{-n}
derivative-1cos(t)	derivative\:-1\cos(t)
integral de 0 a 1 de x(x^2+1)	\int\:_{0}^{1}x(x^{2}+1)dx
integral de-tsqrt(t-1)	\int\:-t\sqrt{t-1}dt
integral de (6e^u-u^3(sqrt(u)+1))	\int\:(6e^{u}-u^{3}(\sqrt{u}+1))du
(\partial)/(\partial x)(x/(x^2+1))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+1})
derivada de (3x+2/(x-3))	\frac{d}{dx}(\frac{3x+2}{x-3})
integral de 1/(2x^2-16)	\int\:\frac{1}{2x^{2}-16}dx
integral de (sqrt(4-x^2))/x	\int\:\frac{\sqrt{4-x^{2}}}{x}dx
límite cuando x tiende a-2 de x/((x+2)^2)	\lim\:_{x\to\:-2}(\frac{x}{(x+2)^{2}})
límite cuando x tiende a-4 de (x)^2	\lim\:_{x\to\:-4}((x)^{2})
integral de 1/(sqrt(x^2+3))	\int\:\frac{1}{\sqrt{x^{2}+3}}dx
límite cuando θ tiende a 0 de θcos(3/θ)	\lim\:_{θ\to\:0}(θ\cos(\frac{3}{θ}))
integral de ((x-3)^3)/x	\int\:\frac{(x-3)^{3}}{x}dx
integral de \sqrt[8]{x}	\int\:\sqrt[8]{x}dx
integral de 9/(3+9x)	\int\:\frac{9}{3+9x}dx
integral de 1/(1-4y)	\int\:\frac{1}{1-4y}dy
desarrollar (x+1)^3(1-x)	expand\:(x+1)^{3}(1-x)
derivada de 5e^xsin(x)	\frac{d}{dx}(5e^{x}\sin(x))
derivative s(t)=t^3-5t^2-3t+8	derivative\:s(t)=t^{3}-5t^{2}-3t+8
(dy)/(dx)+y/x =2x^6y^2	\frac{dy}{dx}+\frac{y}{x}=2x^{6}y^{2}
derivative f(x)=x^2*e^{-x^2}	derivative\:f(x)=x^{2}\cdot\:e^{-x^{2}}
f(x)=(50)/x	f(x)=\frac{50}{x}
integral de y^{4/3}	\int\:y^{\frac{4}{3}}dy
inversalaplace (e^{-2s})/(s^2+16)	inverselaplace\:\frac{e^{-2s}}{s^{2}+16}
integral de-1 a 1 de 1/2 (9-9x^2)^2	\int\:_{-1}^{1}\frac{1}{2}(9-9x^{2})^{2}dx
derivada de 500sqrt(x)-0.5x-500	\frac{d}{dx}(500\sqrt{x}-0.5x-500)
integral de (x+1)(3x-2)	\int\:(x+1)(3x-2)dx
derivada de (sqrt(x)/(x+1))	\frac{d}{dx}(\frac{\sqrt{x}}{x+1})
integral de 8sin^2(x-pi/(12))	\int\:8\sin^{2}(x-\frac{π}{12})dx
(dy)/(dx)=((2xy-xy^2))/(x^2)	\frac{dy}{dx}=\frac{(2xy-xy^{2})}{x^{2}}
(\partial)/(\partial y)((xy)/(x+y))	\frac{\partial\:}{\partial\:y}(\frac{xy}{x+y})
f(t)= 3/t	f(t)=\frac{3}{t}
derivada de-3/4 e^{-x/4}	\frac{d}{dx}(-\frac{3}{4}e^{-\frac{x}{4}})
(\partial)/(\partial x)(-e^{-x}cos(y))	\frac{\partial\:}{\partial\:x}(-e^{-x}\cos(y))
integral de (4x^5)/(sqrt(9-16x^6))	\int\:\frac{4x^{5}}{\sqrt{9-16x^{6}}}dx
derivada de (x^x+1^2)	\frac{d}{dx}((x^{x}+1)^{2})
tangent f(x)=x^2+2x-1,(1,2)	tangent\:f(x)=x^{2}+2x-1,(1,2)
integral de 10(x+1)(x^2+2x+3)^4	\int\:10(x+1)(x^{2}+2x+3)^{4}dx
derivada de a{r}(xcos((x+1)/3))	\frac{d}{dx}(a{r}(x)\cos(\frac{x+1}{3}))
derivada de 18x-2/3 x^3	\frac{d}{dx}(18x-\frac{2}{3}x^{3})
límite cuando x tiende a 1 de e^x-e	\lim\:_{x\to\:1}(e^{x}-e)
integral de 3 a infinity de xe^{-x}	\int\:_{3}^{\infty\:}xe^{-x}dx
integral de 1/(x^4sqrt(x^2-2))	\int\:\frac{1}{x^{4}\sqrt{x^{2}-2}}dx
derivada de (cos(3x^3)/(tan(3x^2+2x)))	\frac{d}{dx}(\frac{\cos(3x^{3})}{\tan(3x^{2}+2x)})
tangent-3/2 x^2+4x+4	tangent\:-\frac{3}{2}x^{2}+4x+4
integral de x^{-1/5}	\int\:x^{-\frac{1}{5}}dx
integral de (12)/(\sqrt[3]{10x+4)}-3	\int\:\frac{12}{\sqrt[3]{10x+4}}-3dx
derivative y=-7/((t+5)^2)	derivative\:y=-\frac{7}{(t+5)^{2}}
integral de (x^4-4x^{-3}-5)	\int\:(x^{4}-4x^{-3}-5)dx
integral de x((1-x^2)^{3/2}-x^3)	\int\:x((1-x^{2})^{\frac{3}{2}}-x^{3})dx
integral de 1/(x(5-x))	\int\:\frac{1}{x(5-x)}dx
integral de (ln(x+9))/(x+9)	\int\:\frac{\ln(x+9)}{x+9}dx
integral de-1 a 9 de (9-x^2)-(-8x)	\int\:_{-1}^{9}(9-x^{2})-(-8x)dx
y^'=-3y^2	y^{\prime\:}=-3y^{2}
derivada de 1/12 (x+3^3+(x+3)^{-1})	\frac{d}{dx}(\frac{1}{12}(x+3)^{3}+(x+3)^{-1})
integral de 1 a 4 de sqrt(t)ln(t/2)	\int\:_{1}^{4}\sqrt{t}\ln(\frac{t}{2})dt
integral de (4x)/(sqrt(1-16x^4))	\int\:\frac{4x}{\sqrt{1-16x^{4}}}dx
normal y= x/a+a/x ,\at x= a/2	normal\:y=\frac{x}{a}+\frac{a}{x},\at\:x=\frac{a}{2}
límite cuando x tiende a 5 de [x]	\lim\:_{x\to\:5}([x])
tangent f(x)=x^2+8,(-3,17)	tangent\:f(x)=x^{2}+8,(-3,17)
límite cuando x tiende a-2 de 4x	\lim\:_{x\to\:-2}(4x)
y^'-2(x+1)^3= 4/((x+1))y	y^{\prime\:}-2(x+1)^{3}=\frac{4}{(x+1)}y
derivada de x^5sqrt(x)	\frac{d}{dx}(x^{5}\sqrt{x})
derivative f(x)=3x-4	derivative\:f(x)=3x-4
integral de-infinity a 1 de e^{4x}	\int\:_{-\infty\:}^{1}e^{4x}dx
derivada de (x^2-2x-3/((x-1)^2))	\frac{d}{dx}(\frac{x^{2}-2x-3}{(x-1)^{2}})
serie de n=2 a infinity de 9/(n(n+2))	\sum\:_{n=2}^{\infty\:}\frac{9}{n(n+2)}
derivada de x/(sqrt(1+x^2+x^4))	\frac{d}{dx}(\frac{x}{\sqrt{1+x^{2}+x^{4}}})
derivada de-7sqrt(x^3)-2/(x^3+7x)	\frac{d}{dx}(-7\sqrt{x^{3}}-\frac{2}{x^{3}}+7x)
integral de 1/(sqrt(25x^2-81))	\int\:\frac{1}{\sqrt{25x^{2}-81}}dx
y^'-y^2=0	y^{\prime\:}-y^{2}=0
derivative sin^3(cos(8x))	derivative\:\sin^{3}(\cos(8x))
integral de cos^2(2x)cos(2x)	\int\:\cos^{2}(2x)\cos(2x)dx
(\partial)/(\partial x)(4+ln(xy-5))	\frac{\partial\:}{\partial\:x}(4+\ln(xy-5))
integral de 4^k	\int\:4^{k}dk
f(θ)=(sin(θ))/(1+cos(θ))	f(θ)=\frac{\sin(θ)}{1+\cos(θ)}
derivada de 2x^3+15x^2-84x+10	\frac{d}{dx}(2x^{3}+15x^{2}-84x+10)
derivative 30e^{x^2}x	derivative\:30e^{x^{2}}x
límite cuando x tiende a 0+de xn(x)	\lim\:_{x\to\:0+}(xn(x))
derivada de (pi-2x^2)	\frac{d}{dx}((π-2x)^{2})
integral de 1/(sqrt(t^2-12t+45))	\int\:\frac{1}{\sqrt{t^{2}-12t+45}}dt
maclaurin (1+x)e^{-x}	maclaurin\:(1+x)e^{-x}
derivative (e^x-e^{-x})/2	derivative\:\frac{e^{x}-e^{-x}}{2}
derivada de (x^{1/3})	\frac{d}{dx}((x)^{\frac{1}{3}})
derivada de-(ln(1+6x)/x)	\frac{d}{dx}(-\frac{\ln(1+6x)}{x})
derivada de 1/(x(x-1))	\frac{d}{dx}(\frac{1}{x(x-1)})
x(dy)/(dx)=6y	x\frac{dy}{dx}=6y
tangent f(x)=2x^2+x-3,\at x=-1	tangent\:f(x)=2x^{2}+x-3,\at\:x=-1
y^'=(t+y)^2	y^{\prime\:}=(t+y)^{2}
área 2x,3x^2,0,1	area\:2x,3x^{2},0,1
(dy)/(dt)=(te^t)/(ysqrt(6+y^2))	\frac{dy}{dt}=\frac{te^{t}}{y\sqrt{6+y^{2}}}
maclaurin e^{x/2}	maclaurin\:e^{\frac{x}{2}}

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