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Problemas populares Cálculo

límite cuando x tiende a-infinity de 3x+sqrt(9x^2+7x-8)	\lim\:_{x\to\:-\infty\:}(3x+\sqrt{9x^{2}+7x-8})
integral de sqrt(16x)	\int\:\sqrt{16x}dx
integral de (40x)/(5x^2+e)	\int\:\frac{40x}{5x^{2}+e}dx
límite cuando x tiende a 0+de tan(x)ln(x)	\lim\:_{x\to\:0+}(\tan(x)\ln(x))
derivada de \sqrt[3]{x}+sqrt(x)	\frac{d}{dx}(\sqrt[3]{x}+\sqrt{x})
y^{''}+4y^'+5y=5x+3e-x	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=5x+3e-x
límite cuando x tiende a 1 de h(x)	\lim\:_{x\to\:1}(h(x))
(\partial)/(\partial x)(sin(yz))	\frac{\partial\:}{\partial\:x}(\sin(yz))
integral de (7t-2)/(t+1)	\int\:\frac{7t-2}{t+1}dt
integral de ((x^2)/(x^2+1))	\int\:(\frac{x^{2}}{x^{2}+1})dx
integral de 1/((x-6)(x-3)(x+1))	\int\:\frac{1}{(x-6)(x-3)(x+1)}dx
(\partial)/(\partial x)(-9x^2y^2-cos(y))	\frac{\partial\:}{\partial\:x}(-9x^{2}y^{2}-\cos(y))
tangent x^3+8	tangent\:x^{3}+8
área 1/(18x^2),x, x/8	area\:\frac{1}{18x^{2}},x,\frac{x}{8}
(d^2)/(dx^2)(e^{-6x})	\frac{d^{2}}{dx^{2}}(e^{-6x})
tangent f(x)=3e^xcos(x),\at x=0	tangent\:f(x)=3e^{x}\cos(x),\at\:x=0
(\partial)/(\partial x)(x^2+y/x)	\frac{\partial\:}{\partial\:x}(x^{2}+\frac{y}{x})
derivada de (11x/((x^2+1)^{3/5)})	\frac{d}{dx}(\frac{11x}{(x^{2}+1)^{\frac{3}{5}}})
derivative sqrt(x/(x+1))	derivative\:\sqrt{\frac{x}{x+1}}
(dy)/(dx)sin(x)=yln(y)	\frac{dy}{dx}\sin(x)=y\ln(y)
límite cuando x tiende a infinity de-1/4	\lim\:_{x\to\:\infty\:}(-\frac{1}{4})
límite cuando x tiende a-2+de sqrt(x-2)	\lim\:_{x\to\:-2+}(\sqrt{x-2})
xydx-(x+2)dy=0	xydx-(x+2)dy=0
integral de 7/(x^4)	\int\:\frac{7}{x^{4}}dx
taylor f(x)=(1+x)^{-4}	taylor\:f(x)=(1+x)^{-4}
derivative (sqrt(x))/((x/(10))^')	derivative\:\frac{\sqrt{x}}{(\frac{x}{10})^{\prime\:}}
pendiente x^2-y^2=64,(8,0)	slope\:x^{2}-y^{2}=64,(8,0)
área 2x-x^2,8-4x,4x	area\:2x-x^{2},8-4x,4x
(\partial)/(\partial t)(-3s^2t^2)	\frac{\partial\:}{\partial\:t}(-3s^{2}t^{2})
derivada de (10x^2-20x+20e^x)	\frac{d}{dx}((10x^{2}-20x+20)e^{x})
derivada de sqrt(x)(x^2+8)	\frac{d}{dx}(\sqrt{x}(x^{2}+8))
integral de sin(x)+e^x	\int\:\sin(x)+e^{x}dx
inverselaplace ((3s+4))/((s+2)^2)	inverselaplace\:\frac{(3s+4)}{(s+2)^{2}}
límite cuando x tiende a infinity de 7x^2+3x^3	\lim\:_{x\to\:\infty\:}(7x^{2}+3x^{3})
tangent 16sqrt(x),\at x=16	tangent\:16\sqrt{x},\at\:x=16
pendiente (5,0),(8,15)	slope\:(5,0),(8,15)
(\partial)/(\partial x)((y^2)/((x+y)^2))	\frac{\partial\:}{\partial\:x}(\frac{y^{2}}{(x+y)^{2}})
integral de y/((4+y^2))	\int\:\frac{y}{(4+y^{2})}dy
derivada de log_{3}((x^2+2x^4))	\frac{d}{dx}(\log_{3}((x^{2}+2x)^{4}))
integral de x2^{x+2}	\int\:x2^{x+2}dx
(d^2y)/(dx^2)-9(dy)/(dx)+4y=xe^x	\frac{d^{2}y}{dx^{2}}-9\frac{dy}{dx}+4y=xe^{x}
derivative sin(x)+3/5 cot(x)	derivative\:\sin(x)+\frac{3}{5}\cot(x)
inverselaplace 1/(s+6)	inverselaplace\:\frac{1}{s+6}
(\partial)/(\partial y)(y/(x+y+z))	\frac{\partial\:}{\partial\:y}(\frac{y}{x+y+z})
integral de-1 a 1 de e^x	\int\:_{-1}^{1}e^{x}dx
integral de xcos(5x)	\int\:x\cos(5x)dx
integral de 0 a 1 de (1+x)/(1+x^2)	\int\:_{0}^{1}\frac{1+x}{1+x^{2}}dx
derivative y=x^5sin^2(2x)	derivative\:y=x^{5}\sin^{2}(2x)
integral de-2 a 2 de 1/(4+x^2)	\int\:_{-2}^{2}\frac{1}{4+x^{2}}dx
xy^'-y=2xln(x)	xy^{\prime\:}-y=2x\ln(x)
tangent f(x)=(x^2)/(x+3),(3, 3/2)	tangent\:f(x)=\frac{x^{2}}{x+3},(3,\frac{3}{2})
integral de tan^2(x)sec(x)	\int\:\tan^{2}(x)\sec(x)dx
derivative arcsin(9x+9y)	derivative\:\arcsin(9x+9y)
integral de 6x+3x^2+12x^3+C	\int\:6x+3x^{2}+12x^{3}+Cdx
derivative ((3t^2+4))/(4t+4)	derivative\:\frac{(3t^{2}+4)}{4t+4}
integral de (csc(θ)cot(θ))/9	\int\:\frac{\csc(θ)\cot(θ)}{9}dθ
derivada de x^2sqrt(4x-9)	\frac{d}{dx}(x^{2}\sqrt{4x-9})
integral de-cos(u)+1/3 cos^3(u)	\int\:-\cos(u)+\frac{1}{3}\cos^{3}(u)du
derivative (3x^2-10)^{-13}	derivative\:(3x^{2}-10)^{-13}
integral de (-3((9x^2)/2)-4x^3)	\int\:(-3(\frac{9x^{2}}{2})-4x^{3})dx
y^'=(e^t)/(3y^2)	y^{\prime\:}=\frac{e^{t}}{3y^{2}}
integral de 22tan^{21}(x)sec^2(x)	\int\:22\tan^{21}(x)\sec^{2}(x)dx
derivative 7t^2+sqrt(t^3)	derivative\:7t^{2}+\sqrt{t^{3}}
tangent f(x)=(1+3x)^9,\at x=0	tangent\:f(x)=(1+3x)^{9},\at\:x=0
derivada de (2x^3-3log_{2}(5-x))	\frac{d}{dx}((2x^{3}-3)\log_{2}(5-x))
tangent f(x)= 1/(4+3x),\at x=1	tangent\:f(x)=\frac{1}{4+3x},\at\:x=1
(\partial}{\partial v}(\frac{u+v)/3)	\frac{\partial\:}{\partial\:v}(\frac{u+v}{3})
x*(dy)/(dx)-(1+x)y=xy^2	x\cdot\:\frac{dy}{dx}-(1+x)y=xy^{2}
área x^2,0,1	area\:x^{2},0,1
serie de n=0 a infinity de (-1)^nx(x/4)^{2n}	\sum\:_{n=0}^{\infty\:}(-1)^{n}x(\frac{x}{4})^{2n}
derivada de arctan(1+x^2)	\frac{d}{dx}(\arctan(1+x^{2}))
límite cuando x tiende a 5 de xsqrt(29-x^2)	\lim\:_{x\to\:5}(x\sqrt{29-x^{2}})
integral de sin^6(2x)cos^3(2x)	\int\:\sin^{6}(2x)\cos^{3}(2x)dx
(\partial)/(\partial x)(xy-z^2+17x^2z)	\frac{\partial\:}{\partial\:x}(xy-z^{2}+17x^{2}z)
tangent y=-x^2+4x+2,(3,5)	tangent\:y=-x^{2}+4x+2,(3,5)
(\partial)/(\partial x)(x/(y^3))	\frac{\partial\:}{\partial\:x}(\frac{x}{y^{3}})
(\partial)/(\partial x)(4xsin(6x^2y))	\frac{\partial\:}{\partial\:x}(4x\sin(6x^{2}y))
(dy)/(dx)=xy-x	\frac{dy}{dx}=xy-x
y^{''}+2y^'-3y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-3y=0
límite cuando x tiende a a de 1/(sqrt(x))	\lim\:_{x\to\:a}(\frac{1}{\sqrt{x}})
(dy)/(dx)=5y^2	\frac{dy}{dx}=5y^{2}
integral de (2x)/(sqrt(x^2-9))	\int\:\frac{2x}{\sqrt{x^{2}-9}}dx
d/(dt)(-(2cos^2(t)sin(t))/(sin(2t)))	\frac{d}{dt}(-\frac{2\cos^{2}(t)\sin(t)}{\sin(2t)})
integral de 1/(x(y)^2+1)	\int\:\frac{1}{x(y)^{2}+1}dx
límite cuando x tiende a 3 de \sqrt[6]{2-x}	\lim\:_{x\to\:3}(\sqrt[6]{2-x})
integral de 2 a 5 de x^2ln(3x)	\int\:_{2}^{5}x^{2}\ln(3x)dx
x(dy)/(dx)+y=sec(xy)	x\frac{dy}{dx}+y=\sec(xy)
derivada de 2xe^{x+3}+e^{x+3}x^2	\frac{d}{dx}(2xe^{x+3}+e^{x+3}x^{2})
pendiente eln(2x^4+ax^2y^{2+2y^4})	slope\:e\ln(2x^{4}+ax^{2}y^{2+2y^{4}})
derivative (8x^2-x)ln(x)	derivative\:(8x^{2}-x)\ln(x)
serie de n=0 a infinity de ((-1)/3)^{2n}	\sum\:_{n=0}^{\infty\:}(\frac{-1}{3})^{2n}
integral de (23)/(x^3-125)	\int\:\frac{23}{x^{3}-125}dx
derivative h(x)= 3/(x^2)+5/(x^4)	derivative\:h(x)=\frac{3}{x^{2}}+\frac{5}{x^{4}}
xy^'-2y=7x^2	xy^{\prime\:}-2y=7x^{2}
derivative (sqrt(9-x^2))/(4x)	derivative\:\frac{\sqrt{9-x^{2}}}{4x}
derivative f(x)=(x+1)(2x-1)	derivative\:f(x)=(x+1)(2x-1)
integral de 0 a pi/8 de sin^5(4x)	\int\:_{0}^{\frac{π}{8}}\sin^{5}(4x)dx
y^{'''}+y^{''}+3y^'-5y=0	y^{\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:}+3y^{\prime\:}-5y=0
integral de (sin(2x))/(2sin(x))	\int\:\frac{\sin(2x)}{2\sin(x)}dx
integral de 4 a infinity de xe^{-3x}	\int\:_{4}^{\infty\:}xe^{-3x}dx

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