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Problemas populares de Cálculo

t(dy)/(dt)=t^3+11t^3y	t\frac{dy}{dt}=t^{3}+11t^{3}y
derivada de log_{7}(6x-5)	\frac{d}{dx}(\log_{7}(6x-5))
integral de (xsqrt(1-x^2))	\int\:(x\sqrt{1-x^{2}})dx
derivative sqrt(3x^2cos(2x))	derivative\:\sqrt{3x^{2}\cos(2x)}
límite cuando x tiende a 7-de (4x)/(x-7)	\lim\:_{x\to\:7-}(\frac{4x}{x-7})
integral de sin(2x)cos(2x)	\int\:\sin(2x)\cos(2x)dx
xy^2y^'=y^3-4x^3	xy^{2}y^{\prime\:}=y^{3}-4x^{3}
límite cuando x tiende a 4 de tan(x)	\lim\:_{x\to\:4}(\tan(x))
tangent f(x)=sqrt(2x),(32,8)	tangent\:f(x)=\sqrt{2x},(32,8)
derivative f(x)=3sin(x)+ln(2x)	derivative\:f(x)=3\sin(x)+\ln(2x)
integral de 1/(x^{5/2)}	\int\:\frac{1}{x^{\frac{5}{2}}}dx
derivada de 3arcsin(x+3xarcsech(x))	\frac{d}{dx}(3\arcsin(x)+3x\arcsech(x))
integral de (24x^3-6)/(2x^4-2x+3)	\int\:\frac{24x^{3}-6}{2x^{4}-2x+3}dx
límite cuando x tiende a 0 de sqrt(5-x^2)	\lim\:_{x\to\:0}(\sqrt{5-x^{2}})
límite cuando x tiende a 1+de 9/(x^3-1)	\lim\:_{x\to\:1+}(\frac{9}{x^{3}-1})
implicit-5x^2+3y^2=1	implicit\:-5x^{2}+3y^{2}=1
(\partial)/(\partial x)(xyzw+2x+3y+4z+w)	\frac{\partial\:}{\partial\:x}(xyzw+2x+3y+4z+w)
derivada de ((2x/(x^2+1))^2)	\frac{d}{dx}((\frac{2x}{x^{2}+1})^{2})
integral de (6x)	\int\:(6x)dx
(\partial)/(\partial y)(e^{-y}cos(x))	\frac{\partial\:}{\partial\:y}(e^{-y}\cos(x))
derivada de ln((x^2/(1+x^2)))	\frac{d}{dx}(\ln(\frac{x^{2}}{1+x^{2}}))
derivada de 2x^3ln(3x-2)	\frac{d}{dx}(2x^{3}\ln(3x-2))
implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2)	implicit\:\frac{dy}{dx},2(x^{2}+y^{2})2=25(x^{2}-y^{2})
(\partial)/(\partial y)(-5y^6sin(5x))	\frac{\partial\:}{\partial\:y}(-5y^{6}\sin(5x))
derivada de 50(80-x^2)	\frac{d}{dx}(50(80-x)^{2})
límite cuando x tiende a 0 de 1/2+x/(2\|x\|)	\lim\:_{x\to\:0}(\frac{1}{2}+\frac{x}{2\left\|x\right\|})
límite cuando x tiende a 0 de (x^2+4x)/x	\lim\:_{x\to\:0}(\frac{x^{2}+4x}{x})
f(x)=xe^x+e^x	f(x)=xe^{x}+e^{x}
inversalaplace (-3s-20)/(s^2+256)	inverselaplace\:\frac{-3s-20}{s^{2}+256}
integral de (2u)/(u^2+1)	\int\:\frac{2u}{u^{2}+1}du
166y^{''}+135y^'+1313y=36*0.7cos(x)	166y^{\prime\:\prime\:}+135y^{\prime\:}+1313y=36\cdot\:0.7\cos(x)
y^{''}+ay+b=0	y^{\prime\:\prime\:}+ay+b=0
derivada de xy^2-y^3	\frac{d}{dx}(xy^{2}-y^{3})
serie de n=1 a infinity de (sin(1/n))/n	\sum\:_{n=1}^{\infty\:}\frac{\sin(\frac{1}{n})}{n}
serie de n=1 a infinity de 4^{n+1}	\sum\:_{n=1}^{\infty\:}4^{n+1}
serie de n=1 a infinity de 1/(n^2+6n)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+6n}
integral de x^9e^x	\int\:x^{9}e^{x}dx
y^{''}+4y=3x-1	y^{\prime\:\prime\:}+4\cdot\:y=3\cdot\:x-1
integral de 0 a 0.5 de 625x	\int\:_{0}^{0.5}625xdx
integral de \sqrt[3]{x}ln(x)	\int\:\sqrt[3]{x}\ln(x)dx
f(x)=x3^x	f(x)=x3^{x}
(sin^2(3x))^'	(\sin^{2}(3x))^{\prime\:}
integral de (5-50x)/(sqrt(9-25x^2))	\int\:\frac{5-50x}{\sqrt{9-25x^{2}}}dx
derivada de 3xsin(x^2)	\frac{d}{dx}(3x\sin(x^{2}))
derivative f(x)=sqrt(2-3x)	derivative\:f(x)=\sqrt{2-3x}
integral de-7sec^2(x)	\int\:-7\sec^{2}(x)dx
y^'+5y=0,y(0)=2	y^{\prime\:}+5y=0,y(0)=2
integral de (5x^2-5x+4tan(x))	\int\:(5x^{2}-5x+4\tan(x))dx
integral de (6\sqrt[3]{x})	\int\:(6\sqrt[3]{x})dx
derivada de 20x(2x^2+7^4)	\frac{d}{dx}(20x(2x^{2}+7)^{4})
derivative 2+6x^2-2x^3	derivative\:2+6x^{2}-2x^{3}
integral de-3x^2-2	\int\:-3x^{2}-2dx
(\partial)/(\partial x)(ax^2+by^2)	\frac{\partial\:}{\partial\:x}(ax^{2}+by^{2})
derivada de x/(sqrt(x^2+81))	\frac{d}{dx}(\frac{x}{\sqrt{x^{2}+81}})
derivative f(x)=3x+8/(x^3)	derivative\:f(x)=3x+\frac{8}{x^{3}}
serie de n=0 a infinity de n+(-1)^n	\sum\:_{n=0}^{\infty\:}n+(-1)^{n}
derivative (e^x+e^{-x})/(e^{2x)}	derivative\:\frac{e^{x}+e^{-x}}{e^{2x}}
(2x^4)^'	(2x^{4})^{\prime\:}
límite cuando x tiende a 0+de (ln(x))/1	\lim\:_{x\to\:0+}(\frac{\ln(x)}{1})
derivative f(x)=sqrt(x)e^{2x}	derivative\:f(x)=\sqrt{x}e^{2x}
integral de (2x-1)sin(4xy)	\int\:(2x-1)\sin(4xy)dx
derivative 2/(t^4)	derivative\:\frac{2}{t^{4}}
serie de n=1 a infinity de ((1))/(2n+7)	\sum\:_{n=1}^{\infty\:}\frac{(1)}{2n+7}
serie de n=2 a infinity de 1-1/(n^2)	\sum\:_{n=2}^{\infty\:}1-\frac{1}{n^{2}}
derivative y=x^4ln(x)	derivative\:y=x^{4}\ln(x)
x(dy)/(dx)-4y=x^6x^x	x\frac{dy}{dx}-4y=x^{6}x^{x}
integral de 50+3.5xe^{-0.01x^2}	\int\:50+3.5xe^{-0.01x^{2}}dx
y^'=xe^{x^2-y}	y^{\prime\:}=xe^{x^{2}-y}
y^'=((3x^6e^{y/x}+x^4y^2))/(x^5y)	y^{\prime\:}=\frac{(3x^{6}e^{\frac{y}{x}}+x^{4}y^{2})}{x^{5}y}
(dy)/(dt)=t\sqrt[3]{y}	\frac{dy}{dt}=t\sqrt[3]{y}
xy^'=y+x^2e^{2x}	xy^{\prime\:}=y+x^{2}e^{2x}
integral de 0 a pi de (sin^2(x))	\int\:_{0}^{π}(\sin^{2}(x))dx
límite cuando x tiende a 0 de (cos(10x)-1)/(x^2)	\lim\:_{x\to\:0}(\frac{\cos(10x)-1}{x^{2}})
integral de (4x+1)^2e^{2x}	\int\:(4x+1)^{2}e^{2x}dx
integral de cos(2/3 x)	\int\:\cos(\frac{2}{3}x)dx
y^{''}+4y^'+3y=20te^{5t}	y^{\prime\:\prime\:}+4y^{\prime\:}+3y=20te^{5t}
(dy)/(dx)=(4x^2)/(sqrt(4+x^3))	\frac{dy}{dx}=\frac{4x^{2}}{\sqrt{4+x^{3}}}
integral de (x^3)/(4+x^4)	\int\:\frac{x^{3}}{4+x^{4}}dx
derivada de 7x+9	\frac{d}{dx}(7x+9)
serie de n=0 a infinity de 1/(n+6)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+6}
(d^2)/(dx^2)(1/x)	\frac{d^{2}}{dx^{2}}(\frac{1}{x})
integral de e^xcos(4x)	\int\:e^{x}\cos(4x)dx
tangent f(x)=x^4-17x^2+16,\at x=-2	tangent\:f(x)=x^{4}-17x^{2}+16,\at\:x=-2
integral de sin^2(x)cos(6x)	\int\:\sin^{2}(x)\cos(6x)dx
derivative (-5)/(x^6)	derivative\:\frac{-5}{x^{6}}
integral de (1+x^2)(2x)	\int\:(1+x^{2})(2x)dx
derivative sec(6x)	derivative\:\sec(6x)
derivative f(x)=(x^3+8x^2+x-7)/x	derivative\:f(x)=\frac{x^{3}+8x^{2}+x-7}{x}
serie de n=1 a infinity de 3/((n+1)!)	\sum\:_{n=1}^{\infty\:}\frac{3}{(n+1)!}
límite cuando x tiende a 0 de 3/x-3/(x^2+x)	\lim\:_{x\to\:0}(\frac{3}{x}-\frac{3}{x^{2}+x})
derivative sqrt(4)	derivative\:\sqrt{4}
y^'=(3x^6e^{y/x}+x^4y^2)/(x^5y)	y^{\prime\:}=\frac{3x^{6}e^{\frac{y}{x}}+x^{4}y^{2}}{x^{5}y}
derivada de (x+1^{1/2})	\frac{d}{dx}((x+1)^{\frac{1}{2}})
integral de ln^5(x)	\int\:\ln^{5}(x)dx
límite cuando x tiende a 10+de 1/((x-10)^2)	\lim\:_{x\to\:10+}(\frac{1}{(x-10)^{2}})
integral de-5 a 5 de (x-sqrt(25-x^2))	\int\:_{-5}^{5}(x-\sqrt{25-x^{2}})dx
derivada de 1/(3+(2x+1^2))	\frac{d}{dx}(\frac{1}{3+(2x+1)^{2}})
cos(t)y^'+sin(t)y-1=0	\cos(t)y^{\prime\:}+\sin(t)y-1=0
tangent f(x)=2sqrt(x),(1,2)	tangent\:f(x)=2\sqrt{x},(1,2)
integral de 4/(x(x-4)^2)	\int\:\frac{4}{x(x-4)^{2}}dx

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