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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a infinity de 2-x	\lim\:_{x\to\:\infty\:}(2-x)
derivative f(x)=x^2e^{1/x}	derivative\:f(x)=x^{2}e^{\frac{1}{x}}
integral de t^3e^{sin(t^4)}cos(t^4)	\int\:t^{3}e^{\sin(t^{4})}\cos(t^{4})dt
serie de n=0 a infinity de 0.9^{2n}	\sum\:_{n=0}^{\infty\:}0.9^{2n}
cos^2(x)sin(x)y^'+cos^3(x)y=1	\cos^{2}(x)\sin(x)y^{\prime\:}+\cos^{3}(x)y=1
2t(dy)/(dt)=8y	2t\frac{dy}{dt}=8y
(\partial)/(\partial x)(xe^{6y})	\frac{\partial\:}{\partial\:x}(xe^{6y})
(\partial}{\partial x}(\frac{x^{3/2})/3)	\frac{\partial\:}{\partial\:x}(\frac{x^{\frac{3}{2}}}{3})
(\partial)/(\partial y)(2x^2y+3xy^3)	\frac{\partial\:}{\partial\:y}(2x^{2}y+3xy^{3})
integral de 0 a 8 de x^3sqrt(x^2+64)	\int\:_{0}^{8}x^{3}\sqrt{x^{2}+64}dx
(\partial)/(\partial x)(e^{-20})	\frac{\partial\:}{\partial\:x}(e^{-20})
derivada de 2x^6-9x^5+15x^4-10x^3+3x-1	\frac{d}{dx}(2x^{6}-9x^{5}+15x^{4}-10x^{3}+3x-1)
derivada de (x^2+x-12/(x-4))	\frac{d}{dx}(\frac{x^{2}+x-12}{x-4})
límite cuando x tiende a 0 de (2x^2+x)/x	\lim\:_{x\to\:0}(\frac{2x^{2}+x}{x})
derivative y=(x^2)/(5-8x)	derivative\:y=\frac{x^{2}}{5-8x}
derivada de x/(4+x^2)	\frac{d}{dx}(\frac{x}{4+x^{2}})
límite cuando x tiende a 0 de x^3*sin(1/x)	\lim\:_{x\to\:0}(x^{3}\cdot\:\sin(\frac{1}{x}))
límite cuando x tiende a 0 de (1-2x)^{5/x}	\lim\:_{x\to\:0}((1-2x)^{\frac{5}{x}})
integral de cot^2(θ)	\int\:\cot^{2}(θ)dθ
y^'+y/(120)=3	y^{\prime\:}+\frac{y}{120}=3
integral de x^4(y-2)	\int\:x^{4}(y-2)
derivative y=(4x^2+6x+8)/(sqrt(x))	derivative\:y=\frac{4x^{2}+6x+8}{\sqrt{x}}
x^2(dy)/(dx)-2xy=5y^4,y(1)= 1/3	x^{2}\frac{dy}{dx}-2xy=5y^{4},y(1)=\frac{1}{3}
integral de ((sec(x)+cos(x))/(2cos(x)))	\int\:(\frac{\sec(x)+\cos(x)}{2\cos(x)})dx
derivada de (2x+9^2)	\frac{d}{dx}((2x+9)^{2})
derivative y=3+log_{2}(x)	derivative\:y=3+\log_{2}(x)
dy=x^2dx	dy=x^{2}dx
derivada de (2x+5/(2x-5))	\frac{d}{dx}(\frac{2x+5}{2x-5})
(\partial)/(\partial x)(sqrt(26-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{26-x^{2}-y^{2}})
derivada de sec(sqrt(x^2-1))	\frac{d}{dx}(\sec(\sqrt{x^{2}-1}))
laplacetransformación (t-1)^4	laplacetransform\:(t-1)^{4}
derivada de (2x^4+5/(4-4x))	\frac{d}{dx}(\frac{2x^{4}+5}{4-4x})
(\partial)/(\partial x)(sqrt(25-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{25-x^{2}})
(dy)/(dx)+1/(x+8)y=x^{-2}	\frac{dy}{dx}+\frac{1}{x+8}y=x^{-2}
derivative (x^2-2x)/((x-1)^2)	derivative\:\frac{x^{2}-2x}{(x-1)^{2}}
tangent f(x)=x^4+9e^x,(0,9)	tangent\:f(x)=x^{4}+9e^{x},(0,9)
e^xydy=(e^{-y}+e^{-2x-y})dx	e^{x}ydy=(e^{-y}+e^{-2x-y})dx
serie de n=0 a infinity de (n+1)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{n+1}{n!}
d/(dθ)(3+3sin(θ))	\frac{d}{dθ}(3+3\sin(θ))
laplacetransformación 0	laplacetransform\:0
laplacetransformación t+2	laplacetransform\:t+2
integral de-(26)/(x^{27)}	\int\:-\frac{26}{x^{27}}dx
límite cuando x tiende a infinity de 2^2	\lim\:_{x\to\:\infty\:}(2^{2})
integral de e^{x/4}	\int\:e^{\frac{x}{4}}dx
y^'-2y=e^{3x}	y^{\prime\:}-2y=e^{3x}
límite cuando n tiende a 1 de ((-1/5)^n)/n	\lim\:_{n\to\:1}(\frac{(-\frac{1}{5})^{n}}{n})
(dy)/(dx)= y/(xln(x))	\frac{dy}{dx}=\frac{y}{x\ln(x)}
integral de 3/(2sqrt(x))	\int\:\frac{3}{2\sqrt{x}}dx
integral de 1/(2^n)	\int\:\frac{1}{2^{n}}
límite cuando x tiende a 2+de 2/((x-2)^2)	\lim\:_{x\to\:2+}(\frac{2}{(x-2)^{2}})
integral de 2 a 4 de 25	\int\:_{2}^{4}25dx
(\partial)/(\partial x)(e^{(7xy)}ln(6y))	\frac{\partial\:}{\partial\:x}(e^{(7xy)}\ln(6y))
integral de (2x^2-1)	\int\:(2x^{2}-1)dx
integral de 2cos(x)+7	\int\:2\cos(x)+7dx
derivada de ax^2+by(x^2+c)	\frac{d}{dx}(ax^{2}+by(x)^{2}+c)
integral de 0 a y de integral de 0 a x de (x^2+y^2)^{3/2}	\int\:_{0}^{y}\int\:_{0}^{x}(x^{2}+y^{2})^{\frac{3}{2}}dydx
área 3x, 3/4 x,70-x^2	area\:3x,\frac{3}{4}x,70-x^{2}
q^{''}+20q^'+500q=12	q^{\prime\:\prime\:}+20q^{\prime\:}+500q=12
límite cuando x tiende a 1 de 3x^2-2x+1	\lim\:_{x\to\:1}(3x^{2}-2x+1)
integral de cos^2(3x)sin^2(3x)	\int\:\cos^{2}(3x)\sin^{2}(3x)dx
límite cuando x tiende a 0 de xsin(5/x)	\lim\:_{x\to\:0}(x\sin(\frac{5}{x}))
y^'=((y+y^2))/(x^2)	y^{\prime\:}=\frac{(y+y^{2})}{x^{2}}
derivada de x^{3/4}y^3	\frac{d}{dx}(x^{\frac{3}{4}}y^{3})
integral de 0 a 3 de \|3x-1\|	\int\:_{0}^{3}\left\|3x-1\right\|dx
(\partial)/(\partial x)(x^2+xy+3y)	\frac{\partial\:}{\partial\:x}(x^{2}+xy+3y)
integral de (z+1)e^{2z}	\int\:(z+1)e^{2z}dz
integral de cos^5(x)sin^3(x)	\int\:\cos^{5}(x)\sin^{3}(x)dx
integral de x(x^2-3)^3	\int\:x(x^{2}-3)^{3}dx
integral de 1/(sqrt(16-9x^2))	\int\:\frac{1}{\sqrt{16-9x^{2}}}dx
(\partial)/(\partial x)(a^{-x})	\frac{\partial\:}{\partial\:x}(a^{-x})
integral de 0 a pi de 8sin(x/2)	\int\:_{0}^{π}8\sin(\frac{x}{2})dx
y^{''}-6y^'+8y=-2cos(4t)	y^{\prime\:\prime\:}-6y^{\prime\:}+8y=-2\cos(4t)
integral de 0 a 2 de 8t	\int\:_{0}^{2}8tdt
derivada de x/(\sqrt[3]{x^2+4})	\frac{d}{dx}(\frac{x}{\sqrt[3]{x^{2}+4}})
derivative f(t)=t	derivative\:f(t)=t
derivada de-(2x/((x^2-4)^2))	\frac{d}{dx}(-\frac{2x}{(x^{2}-4)^{2}})
integral de (12)/(x^2+1)	\int\:\frac{12}{x^{2}+1}dx
taylor (1-x)^{1/5}	taylor\:(1-x)^{\frac{1}{5}}
derivada de (sqrt(x)/(1+x))	\frac{d}{dx}(\frac{\sqrt{x}}{1+x})
integral de (7(sin(2x))/(sin(x)))	\int\:(7\frac{\sin(2x)}{\sin(x)})dx
integral de-5 a 5 de 1/2 (25^2-x^4)	\int\:_{-5}^{5}\frac{1}{2}(25^{2}-x^{4})dx
integral de x/(1-x^2+sqrt(1-x^2))	\int\:\frac{x}{1-x^{2}+\sqrt{1-x^{2}}}dx
integral de (3x^2+14x)(x^3+7x^2+1)	\int\:(3x^{2}+14x)(x^{3}+7x^{2}+1)dx
derivative g(t)=sqrt(1/(t^2-2))	derivative\:g(t)=\sqrt{\frac{1}{t^{2}-2}}
tangent sqrt((5x^2-3x+2))^7	tangent\:\sqrt{(5x^{2}-3x+2)}^{7}
integral de 1 a 9 de (x-1)	\int\:_{1}^{9}(x-1)dx
(dy)/(dt)=(t^2)/(y+t^3y)	\frac{dy}{dt}=\frac{t^{2}}{y+t^{3}y}
(\partial)/(\partial x)(ln(7x))	\frac{\partial\:}{\partial\:x}(\ln(7x))
x^{''}+3x^'=0,x(0)=0,x^'(0)=-3	x^{\prime\:\prime\:}+3x^{\prime\:}=0,x(0)=0,x^{\prime\:}(0)=-3
derivative e^{x^e}	derivative\:e^{x^{e}}
límite cuando x tiende a 6-de sqrt(x-6)	\lim\:_{x\to\:6-}(\sqrt{x-6})
y^'=18x^2e^{-y}	y^{\prime\:}=18x^{2}e^{-y}
tangent f(x)=x^2+3,\at x=2	tangent\:f(x)=x^{2}+3,\at\:x=2
derivative f(x)=ln(x^3+2x^2+2x)	derivative\:f(x)=\ln(x^{3}+2x^{2}+2x)
integral de 1/(x(x^2-1))	\int\:\frac{1}{x(x^{2}-1)}dx
integral de ((2x+1))/(x^2-2x+5)	\int\:\frac{(2x+1)}{x^{2}-2x+5}dx
límite cuando x tiende a pi/4 de tan^2(x)	\lim\:_{x\to\:\frac{π}{4}}(\tan^{2}(x))
integral de 9tan(x)	\int\:9\tan(x)dx
límite cuando x tiende a-1 de (x+2)/(x+1)	\lim\:_{x\to\:-1}(\frac{x+2}{x+1})
integral de (5x+2)/(\sqrt[3]{6x+3)}	\int\:\frac{5x+2}{\sqrt[3]{6x+3}}dx

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