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Problemas populares

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Problemas populares de Cálculo

integral de 0 a 1 de 5cos(x^2)	\int\:_{0}^{1}5\cos(x^{2})dx
límite cuando x tiende a 0 de ((6^x-8^x))/x	\lim\:_{x\to\:0}(\frac{(6^{x}-8^{x})}{x})
integral de cos(t)+sin(t)	\int\:\cos(t)+\sin(t)dt
serie de n=1 a infinity de 1/(ln(3n))	\sum\:_{n=1}^{\infty\:}\frac{1}{\ln(3n)}
inversalaplace ((s+1)^2)/((s+2)^4)	inverselaplace\:\frac{(s+1)^{2}}{(s+2)^{4}}
tangent y= 3/x ,(4, 3/4)	tangent\:y=\frac{3}{x},(4,\frac{3}{4})
integral de ((2x+1))/(x-1)	\int\:\frac{(2x+1)}{x-1}dx
y^{''}+3y^'-18y=0	y^{\prime\:\prime\:}+3y^{\prime\:}-18y=0
derivada de (2sin(x)/(3+cos(x)))	\frac{d}{dx}(\frac{2\sin(x)}{3+\cos(x)})
derivative y=96x^2+72x+12	derivative\:y=96x^{2}+72x+12
y^'cos(x)=ysin(x)+sin(103x)	y^{\prime\:}\cos(x)=y\sin(x)+\sin(103x)
derivative (x+sqrt(2x))(2x+1)	derivative\:(x+\sqrt{2x})(2x+1)
implicit (dy)/(dx),1+ln(9xy)=e^{(9x-y)}	implicit\:\frac{dy}{dx},1+\ln(9xy)=e^{(9x-y)}
integral de (31)/(x(x^2+4)^2)	\int\:\frac{31}{x(x^{2}+4)^{2}}dx
derivative (7w^{10}-11w^7)/(8w^7)	derivative\:\frac{7w^{10}-11w^{7}}{8w^{7}}
integral de 19arctan(sqrt(x))	\int\:19\arctan(\sqrt{x})dx
límite cuando x tiende a-2+de-3x^2+2	\lim\:_{x\to\:-2+}(-3x^{2}+2)
derivative x^{sqrt(x)}	derivative\:x^{\sqrt{x}}
tangent f(x)=((e^x))/x ,\at x=1	tangent\:f(x)=\frac{(e^{x})}{x},\at\:x=1
laplacetransformación (t^3e^{-,\at})	laplacetransform\:(t^{3}e^{-,\at\:})
límite cuando x tiende a 3-de (\|3+x\|)/(3-x)	\lim\:_{x\to\:3-}(\frac{\left\|3+x\right\|}{3-x})
(\partial)/(\partial y)(e^ysin(xy))	\frac{\partial\:}{\partial\:y}(e^{y}\sin(xy))
integral de (9x)/((2-x^2)^3)	\int\:\frac{9x}{(2-x^{2})^{3}}dx
(\partial)/(\partial x)(x^3sin(xy))	\frac{\partial\:}{\partial\:x}(x^{3}\sin(xy))
integral de (1-e^{-10t}-10te^{-10t})	\int\:(1-e^{-10t}-10te^{-10t})dt
área y=3x,y=3,x=0	area\:y=3x,y=3,x=0
integral de ((x^2+1))/(x^2)	\int\:\frac{(x^{2}+1)}{x^{2}}dx
derivada de arccsc(e^x)	\frac{d}{dx}(\arccsc(e^{x}))
(\partial)/(\partial y)(y^4cos(2x))	\frac{\partial\:}{\partial\:y}(y^{4}\cos(2x))
derivative y=x^{0.85}	derivative\:y=x^{0.85}
(dv)/(dt)=-bv	\frac{dv}{dt}=-bv
derivative (x+2)^3	derivative\:(x+2)^{3}
x^{''}=t^{-4}	x^{\prime\:\prime\:}=t^{-4}
serie de n=2 a infinity de 4/(ln(n^3))	\sum\:_{n=2}^{\infty\:}\frac{4}{\ln(n^{3})}
área 7cos(8x),7-7cos(8x),[0, pi/8 ]	area\:7\cos(8x),7-7\cos(8x),[0,\frac{π}{8}]
maclaurin e^{((-x^2)/2)}	maclaurin\:e^{(\frac{-x^{2}}{2})}
taylor φ^5cos(φ^2)	taylor\:φ^{5}\cos(φ^{2})
tangent x^4+5e^x	tangent\:x^{4}+5e^{x}
serie de n=1 a infinity de 5/(n^4+n)	\sum\:_{n=1}^{\infty\:}\frac{5}{n^{4}+n}
integral de-1 a 3 de 2x^2+1	\int\:_{-1}^{3}2x^{2}+1dx
y^'+1/x y=-1/x y^2	y^{\prime\:}+\frac{1}{x}y=-\frac{1}{x}y^{2}
tangent y=x^3-x	tangent\:y=x^{3}-x
derivada de (2(x+8(x-6))/(x^2-7^2))	\frac{d}{dx}(\frac{2(x+8)(x-6)}{x^{2}-7^{2}})
derivada de ((2x+4/(3x-1))^4)	\frac{d}{dx}((\frac{2x+4}{3x-1})^{4})
integral de (5sin(sqrt(x)))/(sqrt(x))	\int\:\frac{5\sin(\sqrt{x})}{\sqrt{x}}dx
y^'-2/t y=t^3	y^{\prime\:}-\frac{2}{t}y=t^{3}
integral de 20+75e^{-t/(50)}	\int\:20+75e^{-\frac{t}{50}}dt
laplacetransformación tcos(pit)	laplacetransform\:t\cdot\:\cos(π\cdot\:t)
y^'+2y=3sin(e^{2x})	y^{\prime\:}+2y=3\sin(e^{2x})
serie de n=1 a infinity}((2^{2n de n!))/(2n+1)	\sum\:_{n=1}^{\infty\:}\frac{(2^{2n}n!)}{2n+1}
laplacetransformación e^{-3t}*sin(t)	laplacetransform\:e^{-3t}\cdot\:\sin(t)
límite cuando x tiende a 3+de 2/(x+3)	\lim\:_{x\to\:3+}(\frac{2}{x+3})
tangent F(x)=x^4-8x^2+2	tangent\:F(x)=x^{4}-8x^{2}+2
límite cuando x tiende a 2 de nx+2	\lim\:_{x\to\:2}(nx+2)
derivada de sin(5x^5)	\frac{d}{dx}(\sin(5)x^{5})
límite cuando x tiende a 2 de x^2-4	\lim\:_{x\to\:2}(x^{2}-4)
integral de 2x+2	\int\:2x+2dx
derivada de x^{4sin(x})	\frac{d}{dx}(x^{4\sin(x)})
límite cuando x tiende a infinity de x+5x	\lim\:_{x\to\:\infty\:}(x+5x)
y^{'''}+4y^'=3x-1	y^{\prime\:\prime\:\prime\:}+4\cdot\:y^{\prime\:}=3\cdot\:x-1
tangent f(x)=4x^2+5x,\at x=-2	tangent\:f(x)=4x^{2}+5x,\at\:x=-2
taylor sin(x),x= pi/3	taylor\:\sin(x),x=\frac{π}{3}
ydx+x(ln(x)-ln(y)-1)dy=0,y(1)=e	ydx+x(\ln(x)-\ln(y)-1)dy=0,y(1)=e
derivative sqrt(4t^2-t)	derivative\:\sqrt{4t^{2}-t}
límite cuando x tiende a 0 de (1-sqrt(x))/(1-x)	\lim\:_{x\to\:0}(\frac{1-\sqrt{x}}{1-x})
serie de n=0 a infinity de 1/(9^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{9^{n}}
límite cuando x tiende a 0 de (-2-2cos(x)+2)/(x^4)	\lim\:_{x\to\:0}(\frac{-2-2\cos(x)+2}{x^{4}})
derivative f(x)=14sqrt(x)	derivative\:f(x)=14\sqrt{x}
derivative y=tan^2(8x)	derivative\:y=\tan^{2}(8x)
integral de 42x(x+1)^5	\int\:42x(x+1)^{5}dx
integral de 1/(2x^2+5)	\int\:\frac{1}{2x^{2}+5}dx
integral de sqrt(tan(4x))sec^2(4x)	\int\:\sqrt{\tan(4x)}\sec^{2}(4x)dx
integral de 8/(x^2)cos(8/x)	\int\:\frac{8}{x^{2}}\cos(\frac{8}{x})dx
(\partial)/(\partial x)(ycos(x+y))	\frac{\partial\:}{\partial\:x}(y\cos(x+y))
integral de 15x*sqrt(1-x)	\int\:15x\cdot\:\sqrt{1-x}dx
integral de (cos(4x)cos(4x))/4	\int\:\frac{\cos(4x)\cos(4x)}{4}dx
derivative (4-sec(x))/(tan(x))	derivative\:\frac{4-\sec(x)}{\tan(x)}
d/(ds)(s/(s^2+2))	\frac{d}{ds}(\frac{s}{s^{2}+2})
límite cuando x tiende a-1 de 3/(x+1)	\lim\:_{x\to\:-1}(\frac{3}{x+1})
integral de 0 a 1 de sin(2x)	\int\:_{0}^{1}\sin(2x)dx
límite cuando x tiende a 0 de 1/(ln(1+x))-1/x	\lim\:_{x\to\:0}(\frac{1}{\ln(1+x)}-\frac{1}{x})
integral de 12xsec^2(x)	\int\:12x\sec^{2}(x)dx
(\partial)/(\partial y)((x+2y^3)^{1/3})	\frac{\partial\:}{\partial\:y}((x+2y^{3})^{\frac{1}{3}})
integral de 7\sqrt[3]{x}	\int\:7\sqrt[3]{x}dx
derivative (x^4+3x)^{-1}	derivative\:(x^{4}+3x)^{-1}
integral de 0 a pi/2 de 1	\int\:_{0}^{\frac{π}{2}}1dθ
derivada de x^2+(3456/x)	\frac{d}{dx}(x^{2}+\frac{3456}{x})
inversalaplace 1/(s(s^2+81))	inverselaplace\:\frac{1}{s(s^{2}+81)}
d/(dy)(sqrt((w(x+y))/(xy)))	\frac{d}{dy}(\sqrt{\frac{w(x+y)}{xy}})
integral de 1 a 4 de (x^2+4)/(5x-x^2)	\int\:_{1}^{4}\frac{x^{2}+4}{5x-x^{2}}dx
derivada de (-2x^2+2x+3(-x^2-3x-4))	\frac{d}{dx}((-2x^{2}+2x+3)(-x^{2}-3x-4))
derivada de (dy/(dx))+81y=0	\frac{d}{dx}(\frac{dy}{dx})+81y=0
integral de cos(u/v)	\int\:\cos(\frac{u}{v})du
límite cuando x tiende a+0 de (sin(0))/0	\lim\:_{x\to\:+0}(\frac{\sin(0)}{0})
integral de 6t^4e^{-t^5}	\int\:6t^{4}e^{-t^{5}}dt
laplacetransformación 4e^{((2t)/3)}	laplacetransform\:4e^{(\frac{2t}{3})}
integral de 1/(x^3sqrt(x^2-25))	\int\:\frac{1}{x^{3}\sqrt{x^{2}-25}}dx
derivative (sqrt(t))/(2t-3)	derivative\:\frac{\sqrt{t}}{2t-3}
tangent 10+(20)/(x+1),\at x=3	tangent\:10+\frac{20}{x+1},\at\:x=3
límite cuando x tiende a pi/2 de cos(pi+x)	\lim\:_{x\to\:\frac{π}{2}}(\cos(π+x))

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