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Problemas populares

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Problemas populares de Cálculo

integral de x/((2x+1)^3)	\int\:\frac{x}{(2x+1)^{3}}dx
(dx)/(x-x^2)=3dt	\frac{dx}{x-x^{2}}=3dt
(\partial)/(\partial y)(sqrt(14-x^2-4y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{14-x^{2}-4y^{2}})
límite cuando x tiende a 2 de (x^2+1)/x	\lim\:_{x\to\:2}(\frac{x^{2}+1}{x})
derivada de e^4+ln(8)	\frac{d}{dx}(e^{4}+\ln(8))
integral de e^{3x+4}	\int\:e^{3x+4}dx
límite cuando x tiende a 2-de-2	\lim\:_{x\to\:2-}(-2)
área y=sqrt(x)+3,y= 1/2 x+3	area\:y=\sqrt{x}+3,y=\frac{1}{2}x+3
10y^{''}-y^'-3y=0	10y^{\prime\:\prime\:}-y^{\prime\:}-3y=0
(\partial)/(\partial x)(sqrt(5x^2+5y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{5x^{2}+5y^{2}})
(\partial)/(\partial x)(x*e^{x-y-z})	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{x-y-z})
derivative-2xy	derivative\:-2xy
integral de 0 a 2 de sqrt(144x+577)	\int\:_{0}^{2}\sqrt{144x+577}dx
derivative (81)/(8(3x+2)^{5/2)}	derivative\:\frac{81}{8(3x+2)^{\frac{5}{2}}}
integral de 2x+4/(sqrt(x))	\int\:2x+\frac{4}{\sqrt{x}}dx
(\partial)/(\partial x)(5x+10y+10xy)	\frac{\partial\:}{\partial\:x}(5x+10y+10xy)
4t(dy)/(dt)+22y=0	4t\frac{dy}{dt}+22y=0
serie de n=1 a infinity de n/n	\sum\:_{n=1}^{\infty\:}\frac{n}{n}
derivada de sec(2x+tan(2x))	\frac{d}{dx}(\sec(2x)+\tan(2x))
implicit x^2-4xy+y^2=4	implicit\:x^{2}-4xy+y^{2}=4
integral de (3x-1)^2	\int\:(3x-1)^{2}dx
integral de cos(8x)	\int\:\cos(8x)dx
f(x)=e^xsqrt(x)	f(x)=e^{x}\sqrt{x}
integral de (sqrt(x^2-36))/(x^3)	\int\:\frac{\sqrt{x^{2}-36}}{x^{3}}dx
y^{''}-8y^'+16y=0,y(0)=3,y^'(0)=11	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=3,y^{\prime\:}(0)=11
integral de 5tan(2x)ln(cos(2x))	\int\:5\tan(2x)\ln(\cos(2x))dx
(\partial)/(\partial t)(zy^2(t+1))	\frac{\partial\:}{\partial\:t}(zy^{2}(t+1))
(dy)/(dx)=(xy^3)/(sqrt(1+x^2)),y(0)=-1	\frac{dy}{dx}=\frac{xy^{3}}{\sqrt{1+x^{2}}},y(0)=-1
derivada de sin(3x-4x^4+2x^3+3)	\frac{d}{dx}(\sin(3x)-4x^{4}+2x^{3}+3)
integral de 7e^{-7x}sin(7x)	\int\:7e^{-7x}\sin(7x)dx
(dy}{dx}=\frac{2y)/x+x^2y^5	\frac{dy}{dx}=\frac{2y}{x}+x^{2}y^{5}
integral de 0 a 1 de 4e^{5sqrt(x)}	\int\:_{0}^{1}4e^{5\sqrt{x}}dx
integral de 2-4x	\int\:2-4xdx
(d^2)/(dx^2)(e^{9e^x})	\frac{d^{2}}{dx^{2}}(e^{9e^{x}})
derivative f(x)= 5/(x+5)	derivative\:f(x)=\frac{5}{x+5}
derivative e^{x/3}	derivative\:e^{\frac{x}{3}}
integral de (sin(3x))/(cos^2(3x))	\int\:\frac{\sin(3x)}{\cos^{2}(3x)}dx
área 2x^2,2x+2	area\:2x^{2},2x+2
integral de e^{x^2-x}	\int\:e^{x^{2}-x}dx
(\partial)/(\partial x)(arccos(x/(sqrt(x^2+y^2))))	\frac{\partial\:}{\partial\:x}(\arccos(\frac{x}{\sqrt{x^{2}+y^{2}}}))
derivada de 5x+(400/x)	\frac{d}{dx}(5x+\frac{400}{x})
7y^'=y^2	7y^{\prime\:}=y^{2}
derivative f(x)=xe^{3x^2+1}	derivative\:f(x)=xe^{3x^{2}+1}
integral de 1/((y+1)(y-2))	\int\:\frac{1}{(y+1)(y-2)}dy
(\partial)/(\partial x)(e^{2x-y})	\frac{\partial\:}{\partial\:x}(e^{2x-y})
tangent f(x)=x^2+sin(x)	tangent\:f(x)=x^{2}+\sin(x)
d/(du)(arctan(u))	\frac{d}{du}(\arctan(u))
integral de x^2-3x	\int\:x^{2}-3xdx
límite cuando x tiende a pi/6 de tan(x)	\lim\:_{x\to\:\frac{π}{6}}(\tan(x))
(\partial)/(\partial x)(x^2y+y)	\frac{\partial\:}{\partial\:x}(x^{2}y+y)
derivada de log_{e}(x+1)	\frac{d}{dx}(\log_{e}(x+1))
tangent (10-x)y^2=x^3,(2,1)	tangent\:(10-x)y^{2}=x^{3},(2,1)
integral de 1/(cos(θ)-1)	\int\:\frac{1}{\cos(θ)-1}dθ
derivada de cos(0.5x)	\frac{d}{dx}(\cos(0.5x))
y^{'''}-9y^{''}+15y^'+25y=0	y^{\prime\:\prime\:\prime\:}-9y^{\prime\:\prime\:}+15y^{\prime\:}+25y=0
(\partial)/(\partial x)(x/v)	\frac{\partial\:}{\partial\:x}(\frac{x}{v})
límite cuando x tiende a 8+de (\|x-8\|)/(x-8)	\lim\:_{x\to\:8+}(\frac{\left\|x-8\right\|}{x-8})
derivada de (5x^3-7/x)	\frac{d}{dx}(\frac{5x^{3}-7}{x})
f(x)=10cos(30x-7)	f(x)=10\cos(30x-7)
integral de (-2x)/(1+x^2)	\int\:\frac{-2x}{1+x^{2}}dx
(\partial)/(\partial x)(e^{-8x})	\frac{\partial\:}{\partial\:x}(e^{-8x})
d/(dy)(cos(2y))	\frac{d}{dy}(\cos(2y))
límite cuando x tiende a 0-de 5x^3-7x^2+2^x-2	\lim\:_{x\to\:0-}(5x^{3}-7x^{2}+2^{x}-2)
integral de 1/(sqrt(t^2-6t+34))	\int\:\frac{1}{\sqrt{t^{2}-6t+34}}dt
derivative y= 1/x	derivative\:y=\frac{1}{x}
tangent f(x)=8(x-1/x)^2	tangent\:f(x)=8(x-\frac{1}{x})^{2}
integral de (sqrt(3))/4	\int\:\frac{\sqrt{3}}{4}dx
integral de 2 a 4 de 2pix(5-x)	\int\:_{2}^{4}2πx(5-x)dx
integral de sin(x^3)	\int\:\sin(x^{3})dx
derivada de 6sin(6x)	\frac{d}{dx}(6\sin(6x))
laplacetransformación-3	laplacetransform\:-3
integral de x/(x-7)	\int\:\frac{x}{x-7}dx
integral de 5sin(6pi)t	\int\:5\sin(6π)tdt
integral de (3x^2-2/(x^3)+\sqrt[3]{x}-8)	\int\:(3x^{2}-\frac{2}{x^{3}}+\sqrt[3]{x}-8)dx
derivative (2x)/(x^2+1)	derivative\:\frac{2x}{x^{2}+1}
x^{''}+3x^'+2x=e^{-t}	x^{\prime\:\prime\:}+3x^{\prime\:}+2x=e^{-t}
tangent sqrt((3x+25))	tangent\:\sqrt{(3x+25)}
(\partial)/(\partial x)(e^{2x}cos(y))	\frac{\partial\:}{\partial\:x}(e^{2x}\cos(y))
límite cuando x tiende a-2 de 3x+4	\lim\:_{x\to\:-2}(3x+4)
integral de xe^{5x}	\int\:xe^{5x}dx
límite cuando h tiende a 0 de 1/(h^2)	\lim\:_{h\to\:0}(\frac{1}{h^{2}})
integral de xn(x)	\int\:xn(x)dx
integral de sec^{13}(x)	\int\:\sec^{13}(x)dx
f(x)=sinh(2x)	f(x)=\sinh(2x)
integral de 0 a ln(2) de e^{x+2y}	\int\:_{0}^{\ln(2)}e^{x+2y}dx
(\partial)/(\partial x)(2x*e^{xy})	\frac{\partial\:}{\partial\:x}(2x\cdot\:e^{xy})
(\partial)/(\partial x)(x^2z+3z^2x+6(x+z))	\frac{\partial\:}{\partial\:x}(x^{2}z+3z^{2}x+6(x+z))
derivada de 2x^6-8x^5+10x^4-10x^2+8x-2	\frac{d}{dx}(2x^{6}-8x^{5}+10x^{4}-10x^{2}+8x-2)
integral de (x-4)/(x^2+2x-15)	\int\:\frac{x-4}{x^{2}+2x-15}dx
límite cuando x tiende a infinity de 3x-sqrt(9x^2+6x)	\lim\:_{x\to\:\infty\:}(3x-\sqrt{9x^{2}+6x})
integral de 0 a 1 de x/(1+x^4)	\int\:_{0}^{1}\frac{x}{1+x^{4}}dx
(dy)/(dx)=xy+2x+y+2	\frac{dy}{dx}=xy+2x+y+2
área y=3sqrt(x),[3,7]	area\:y=3\sqrt{x},[3,7]
integral de 34arctan(sqrt(x))	\int\:34\arctan(\sqrt{x})dx
límite cuando x tiende a 2 de (x+2)*(2x-1)	\lim\:_{x\to\:2}((x+2)\cdot\:(2x-1))
derivative 3+1/5 sin(3pit)	derivative\:3+\frac{1}{5}\sin(3πt)
taylor ln(x+1),1	taylor\:\ln(x+1),1
(\partial)/(\partial y)(x^2ycos(z/t))	\frac{\partial\:}{\partial\:y}(x^{2}y\cos(\frac{z}{t}))
y^'-8/x y=(y/(x^6))^3	y^{\prime\:}-\frac{8}{x}y=(\frac{y}{x^{6}})^{3}
derivative-5x	derivative\:-5x

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