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Problemas populares

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Problemas populares de Cálculo

integral de 0 a 4 de (sqrt(y)-y+2)	\int\:_{0}^{4}(\sqrt{y}-y+2)dy
límite cuando t tiende a-2 de (t^2-4)/(t+2)	\lim\:_{t\to\:-2}(\frac{t^{2}-4}{t+2})
(\partial)/(\partial x)(7xe^{xy})	\frac{\partial\:}{\partial\:x}(7xe^{xy})
integral de sqrt((7+x)/(7-x))	\int\:\sqrt{\frac{7+x}{7-x}}dx
integral de sqrt((1-cos^2(x))^3)	\int\:\sqrt{(1-\cos^{2}(x))^{3}}dx
derivative (e^{3x}-1)^5	derivative\:(e^{3x}-1)^{5}
(\partial)/(\partial x)(-(2x)/((x+y)^2))	\frac{\partial\:}{\partial\:x}(-\frac{2x}{(x+y)^{2}})
derivada de-3cos^{12}(x)	\frac{d}{dx}(-3\cos^{12}(x))
derivada de (x^2+1/(2x^2-3x))	\frac{d}{dx}(\frac{x^{2}+1}{2x^{2}-3x})
integral de x*cos(7x)	\int\:x\cdot\:\cos(7x)dx
f(x)=(\sqrt[5]{x^3})/(\sqrt[10]{x^4)}	f(x)=\frac{\sqrt[5]{x^{3}}}{\sqrt[10]{x^{4}}}
implicit (dy)/(dx),sqrt(x+y)+xy=21	implicit\:\frac{dy}{dx},\sqrt{x+y}+xy=21
integral de sqrt(a^2+x^2)	\int\:\sqrt{a^{2}+x^{2}}dx
integral de (1-sqrt(x+1))/(1+sqrt(x+1))	\int\:\frac{1-\sqrt{x+1}}{1+\sqrt{x+1}}dx
límite cuando x tiende a 0 de x\|x\|	\lim\:_{x\to\:0}(x\left\|x\right\|)
inversalaplace (e^{-2s})/(s^2(s-1))	inverselaplace\:\frac{e^{-2s}}{s^{2}(s-1)}
(\partial)/(\partial x)(e^{-2x}*cos(2piy))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cdot\:\cos(2πy))
derivada de (sec^2(x)dx)	\frac{d}{dx}((\sec^{2}(x))dx)
(dy)/(dx)+y=9	\frac{dy}{dx}+y=9
(\partial)/(\partial z)(x^4y+xz-yz^2-7)	\frac{\partial\:}{\partial\:z}(x^{4}y+xz-yz^{2}-7)
integral de x^y	\int\:x^{y}dx
derivada de cos(x-x*sin(x))	\frac{d}{dx}(\cos(x)-x\cdot\:\sin(x))
inversalaplace 1/(s+a)	inverselaplace\:\frac{1}{s+a}
tangent x^3-3x^2+x-5	tangent\:x^{3}-3x^{2}+x-5
(\partial)/(\partial x)(x^3+ky^2-5xy)	\frac{\partial\:}{\partial\:x}(x^{3}+ky^{2}-5xy)
integral de 3xsqrt(1-x^2)	\int\:3x\sqrt{1-x^{2}}dx
4xy^'=2xe^x-4y+6x^2	4xy^{\prime\:}=2xe^{x}-4y+6x^{2}
integral de xsin^3(x^2)cos(x^2)	\int\:x\sin^{3}(x^{2})\cos(x^{2})dx
(dy)/(dx)=x,y(11)=5	\frac{dy}{dx}=x,y(11)=5
tangent y=5sec(x),\at x= pi/3	tangent\:y=5\sec(x),\at\:x=\frac{π}{3}
derivada de-5e^{-4x}	\frac{d}{dx}(-5e^{-4x})
integral de 0 a 2 de (x+1)	\int\:_{0}^{2}(x+1)dx
derivative y=1+2/(x^4)	derivative\:y=1+\frac{2}{x^{4}}
integral de y+y(3+y^2)^{1/2}	\int\:y+y(3+y^{2})^{\frac{1}{2}}dy
integral de x^3sqrt(100-x^2)	\int\:x^{3}\sqrt{100-x^{2}}dx
derivada de x^2cos(xy)	\frac{d}{dx}(x^{2}\cos(xy))
(4/(x^2))^'	(\frac{4}{x^{2}})^{\prime\:}
derivada de (3x^4-x^3(x^2+x^3))	\frac{d}{dx}((3x^{4}-x^{3})(x^{2}+x^{3}))
(\partial)/(\partial x)(xy^3+6)	\frac{\partial\:}{\partial\:x}(xy^{3}+6)
x^2y^'+y=0,y(8)=5	x^{2}y^{\prime\:}+y=0,y(8)=5
integral de 0 a 3 de 1/((x+2)(x+4))	\int\:_{0}^{3}\frac{1}{(x+2)(x+4)}dx
inversalaplace (10s)/(s^2-25)	inverselaplace\:\frac{10s}{s^{2}-25}
límite cuando x tiende a-5 de-1x	\lim\:_{x\to\:-5}(-1x)
límite cuando x tiende a 0 de 1/(x^2+3)	\lim\:_{x\to\:0}(\frac{1}{x^{2}+3})
integral de xe^2x	\int\:xe^{2}xdx
integral de (x^3+5)/(x^2)	\int\:\frac{x^{3}+5}{x^{2}}dx
tangent (sqrt(x)+1)/(sqrt(x)+5)	tangent\:\frac{\sqrt{x}+1}{\sqrt{x}+5}
derivada de xe^x+x-5e^x-5	\frac{d}{dx}(xe^{x}+x-5e^{x}-5)
derivative y=xsin(2/x)	derivative\:y=x\sin(\frac{2}{x})
integral de 4t+1	\int\:4t+1dt
derivative (x+9)/(x^2-7x+1)	derivative\:\frac{x+9}{x^{2}-7x+1}
(\partial)/(\partial x)(7x^{5y})	\frac{\partial\:}{\partial\:x}(7x^{5y})
derivada de 8/(\|x-2\|^3)	\frac{d}{dx}(\frac{8}{\left\|x-2\right\|^{3}})
integral de (2x^2+2x-3)^{10}*(2x+1)	\int\:(2x^{2}+2x-3)^{10}\cdot\:(2x+1)dx
d/(d{x)}((sqrt(9-{x)^2-{y}^2})/({x)+{z}})	\frac{d}{d{x}}(\frac{\sqrt{9-{x}^{2}-{y}^{2}}}{{x}+{z}})
derivada de cos(7pix)	\frac{d}{dx}(\cos(7πx))
límite cuando x tiende a 0 de (x^{-2}-6^{-2})/(x+6)	\lim\:_{x\to\:0}(\frac{x^{-2}-6^{-2}}{x+6})
área f(x)=2x+3,[-1,2]	area\:f(x)=2x+3,[-1,2]
integral de (sin(2u)-cos(3u))^2	\int\:(\sin(2u)-\cos(3u))^{2}du
derivative (-2x)/((x^2-1)^2)	derivative\:\frac{-2x}{(x^{2}-1)^{2}}
(cos(3x))y^'-3(tan(3x))y=2(sec(3x))	(\cos(3x))y^{\prime\:}-3(\tan(3x))y=2(\sec(3x))
f(t)=4t	f(t)=4t
integral de sin^{1/2}(x)cos^3(x)	\int\:\sin^{\frac{1}{2}}(x)\cos^{3}(x)dx
límite cuando x tiende a 0 de x/(ln(x))	\lim\:_{x\to\:0}(\frac{x}{\ln(x)})
y^'+2/x y=x	y^{\prime\:}+\frac{2}{x}y=x
(1-cos(x))^'	(1-\cos(x))^{\prime\:}
y^'-3y^2=0	y^{\prime\:}-3y^{2}=0
integral de 2x(4x+7)^8	\int\:2x(4x+7)^{8}dx
límite cuando x tiende a infinity de x!	\lim\:_{x\to\:\infty\:}(x!)
integral de 1 a 2 de 6x^24^{x^3}	\int\:_{1}^{2}6x^{2}4^{x^{3}}dx
límite cuando x tiende a 3 de (x-3)/(\|x-3\|)	\lim\:_{x\to\:3}(\frac{x-3}{\left\|x-3\right\|})
integral de (4x^2+2)/((x^2-2x+2)^2)	\int\:\frac{4x^{2}+2}{(x^{2}-2x+2)^{2}}dx
derivada de (2x^{(-3x)})	\frac{d}{dx}((2x)^{(-3x)})
tangent y=7-x^2	tangent\:y=7-x^{2}
tangent y=(1-x)(x^2-8)^2,(3,-2)	tangent\:y=(1-x)(x^{2}-8)^{2},(3,-2)
(dx)/(dt)=-x-x^2	\frac{dx}{dt}=-x-x^{2}
derivative ln(3x+2)	derivative\:\ln(3x+2)
límite cuando n tiende a infinity de \sum_{i=1}^n(i^3)/(n^4)+1/n	\lim\:_{n\to\:\infty\:}(\sum\:_{i=1}^{n}\frac{i^{3}}{n^{4}}+\frac{1}{n})
derivative m(t)=5t(3t^4-1)^5	derivative\:m(t)=5t(3t^{4}-1)^{5}
derivada de xcos(y-ye^x)	\frac{d}{dx}(x\cos(y)-ye^{x})
derivative f(x)=6x^5e^x+e^xx^6	derivative\:f(x)=6x^{5}e^{x}+e^{x}x^{6}
integral de tan(x)[ln(cos(x))]	\int\:\tan(x)[\ln(\cos(x))]dx
derivative f(x)=cos(θ^2)	derivative\:f(x)=\cos(θ^{2})
límite cuando x tiende a 5 de (x^2-7x+10)/(x^2-25)	\lim\:_{x\to\:5}(\frac{x^{2}-7x+10}{x^{2}-25})
(\partial)/(\partial x)(1/4 x^2+y^2)	\frac{\partial\:}{\partial\:x}(\frac{1}{4}x^{2}+y^{2})
tangent y=1sqrt(x)	tangent\:y=1\sqrt{x}
integral de 3 a infinity de e^{-4x}	\int\:_{3}^{\infty\:}e^{-4x}dx
(dy)/(dx)=(2y+sqrt(x^2-y^2))/(2x)	\frac{dy}{dx}=\frac{2y+\sqrt{x^{2}-y^{2}}}{2x}
inversalaplace 3/(s+1)	inverselaplace\:\frac{3}{s+1}
integral de (sec^6(x))/(tan^3(x))	\int\:\frac{\sec^{6}(x)}{\tan^{3}(x)}dx
límite cuando x tiende a 0-de e^{3/x}	\lim\:_{x\to\:0-}(e^{\frac{3}{x}})
(\partial)/(\partial x)(9)	\frac{\partial\:}{\partial\:x}(9)
derivada de [x+(x+sin^2(x)^3]^5)	\frac{d}{dx}([x+(x+\sin^{2}(x))^{3}]^{5})
integral de 0 a 1 de 2^{-x}	\int\:_{0}^{1}2^{-x}dx
derivada de (ln(x)/x)	\frac{d}{dx}(\frac{\ln(x)}{x})
(dy)/(dx)=(((2y+7))/(8x+9))^2	\frac{dy}{dx}=(\frac{(2y+7)}{8x+9})^{2}
integral de 0 a 2 de (6ti-t^3j+5t^9k)	\int\:_{0}^{2}(6ti-t^{3}j+5t^{9}k)dt
límite cuando x tiende a 0 de (x+5)/(3x)	\lim\:_{x\to\:0}(\frac{x+5}{3x})
(\partial)/(\partial x)((e^{x/2})(2xy))	\frac{\partial\:}{\partial\:x}((e^{\frac{x}{2}})(2xy))
derivative (x^2)/(x-9)	derivative\:\frac{x^{2}}{x-9}

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