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Problemas populares de Cálculo

integral de (3x+5)^3	\int\:(3x+5)^{3}dx
maclaurin f(x)=x^4sin(4x)	maclaurin\:f(x)=x^{4}\sin(4x)
límite cuando x tiende a 2 de x(2)	\lim\:_{x\to\:2}(x(2))
integral de 3 a sqrt(14 de)x	\int\:_{3}^{\sqrt{14}}xdx
integral de cos^2(u)sin(u)	\int\:\cos^{2}(u)\sin(u)du
y^{''}+9y=cos(3x)+sin(3x)	y^{\prime\:\prime\:}+9y=\cos(3x)+\sin(3x)
y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y)	y^{\prime\:}=\frac{6x^{4}e^{\frac{y}{x}}+x^{2}y^{2}}{x^{3}y}
derivative 2x^3+2x-1	derivative\:2x^{3}+2x-1
límite cuando z tiende a-1+2i de z/(z+1+2i)	\lim\:_{z\to\:-1+2i}(\frac{z}{z+1+2i})
derivada de-(x^2/(y^2))	\frac{d}{dx}(-\frac{x^{2}}{y^{2}})
límite cuando m tiende a 0 de m/(m^2+4m)	\lim\:_{m\to\:0}(\frac{m}{m^{2}+4m})
integral de e^{4x-3}	\int\:e^{4x-3}dx
integral de ((x-1))/((x-2)(x-3))	\int\:\frac{(x-1)}{(x-2)(x-3)}dx
límite cuando x tiende a 2 de \|x\|	\lim\:_{x\to\:2}(\left\|x\right\|)
límite cuando x tiende a 0 de x+5	\lim\:_{x\to\:0}(x+5)
derivada de ln(sqrt(3x^5+2))	\frac{d}{dx}(\ln(\sqrt{3x^{5}+2}))
serie de n=3 a infinity de (3^n)/(10^n)	\sum\:_{n=3}^{\infty\:}\frac{3^{n}}{10^{n}}
(dy)/(dx)=9xsqrt(3y+7)	\frac{dy}{dx}=9x\sqrt{3y+7}
(2xy^2+3x^2)dx+2x^2ydy=0	(2xy^{2}+3x^{2})dx+2x^{2}ydy=0
(\partial)/(\partial x)(1/(ln(2/x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\ln(\frac{2}{x})})
tangent f(x)=3x^2-1	tangent\:f(x)=3x^{2}-1
tangent f(x)=12sqrt(x),(4,24)	tangent\:f(x)=12\sqrt{x},(4,24)
y^{''}+6y^'+8y=e^{2x}	y^{\prime\:\prime\:}+6y^{\prime\:}+8y=e^{2x}
y^{''}-y^'-6y=0,y(0)=-1,y^'(0)=4	y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=-1,y^{\prime\:}(0)=4
integral de e^{2-5x}	\int\:e^{2-5x}dx
límite cuando x tiende a 2+de 1/(x^2-5x+6)	\lim\:_{x\to\:2+}(\frac{1}{x^{2}-5x+6})
2y^{''}+(a+1)y=0	2y^{\prime\:\prime\:}+(a+1)y=0
integral de {(3-x)/(x^2+1)+xln(x^2)}	\int\:\left\{\frac{3-x}{x^{2}+1}+x\ln(x^{2})\right\}dx
derivative y=sqrt(1+3x^2)(ln(x^2))	derivative\:y=\sqrt{1+3x^{2}}(\ln(x^{2}))
derivative f(x)=(x^3+4)e^x	derivative\:f(x)=(x^{3}+4)e^{x}
integral de (x^2+4)/(x+1)	\int\:\frac{x^{2}+4}{x+1}dx
serie de n=0 a infinity de 3(x/4)^n	\sum\:_{n=0}^{\infty\:}3(\frac{x}{4})^{n}
tangent f(x)= 1/(x-5),\at x=10	tangent\:f(x)=\frac{1}{x-5},\at\:x=10
derivative g(x)=x^2(1-7x)	derivative\:g(x)=x^{2}(1-7x)
derivada de ((x+7/(x-7))^5)	\frac{d}{dx}((\frac{x+7}{x-7})^{5})
derivada de (ln(9)^x)	\frac{d}{dx}((\ln(9))^{x})
integral de (ln(y))	\int\:(\ln(y))dy
integral de ((5x+7))/((x^2+4x+4))	\int\:\frac{(5x+7)}{(x^{2}+4x+4)}dx
derivative sqrt((x+3))	derivative\:\sqrt{(x+3)}
integral de 1/(sin(x/a))	\int\:\frac{1}{\sin(\frac{x}{a})}dx
límite cuando x tiende a 0+de (-1)/(14x)	\lim\:_{x\to\:0+}(\frac{-1}{14x})
integral de x^2-7x+4	\int\:x^{2}-7x+4dx
integral de (sec(x/(24)))^2tan(x/(24))	\int\:(\sec(\frac{x}{24}))^{2}\tan(\frac{x}{24})dx
límite cuando x tiende a-infinity de e	\lim\:_{x\to\:-\infty\:}(e)
(x^2+49)(dy)/(dx)=1,y(7)=0	(x^{2}+49)\frac{dy}{dx}=1,y(7)=0
integral de (x+8)/(x(x+6))	\int\:\frac{x+8}{x(x+6)}dx
límite cuando h tiende a 0 de (sinh(x))/h	\lim\:_{h\to\:0}(\frac{\sinh(x)}{h})
inversalaplace (s+2)/(s^2+2s+1)	inverselaplace\:\frac{s+2}{s^{2}+2s+1}
integral de 2cos(ln(x))	\int\:2\cos(\ln(x))dx
integral de sin(2x^2)	\int\:\sin(2x^{2})dx
integral de (cos^4(x)-cos^6(x))	\int\:(\cos^{4}(x)-\cos^{6}(x))dx
integral de (2+ln(7x))/(3x)	\int\:\frac{2+\ln(7x)}{3x}dx
y^'+4x^3y=x^3	y^{\prime\:}+4x^{3}y=x^{3}
(\partial)/(\partial x)(-5xy+2)	\frac{\partial\:}{\partial\:x}(-5xy+2)
derivada de 4x^2-1	\frac{d}{dx}(4x^{2}-1)
integral de 1/((3n+5)^4)	\int\:\frac{1}{(3n+5)^{4}}
integral de (x^2)/((x^2+7)^2)	\int\:\frac{x^{2}}{(x^{2}+7)^{2}}dx
y^{''}+2y^'+2y=0,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=1
(\partial)/(\partial y)((x+y)/(y+z))	\frac{\partial\:}{\partial\:y}(\frac{x+y}{y+z})
integral de 2sin(2x)	\int\:2\sin(2x)dx
integral de (1-x)sqrt(x)	\int\:(1-x)\sqrt{x}dx
taylor e^{-x/2}e^{-1/4}	taylor\:e^{-\frac{x}{2}}e^{-\frac{1}{4}}
(\partial)/(\partial x)(6ycos(x))	\frac{\partial\:}{\partial\:x}(6y\cos(x))
límite cuando x tiende a 7 de 1/((x-7))	\lim\:_{x\to\:7}(\frac{1}{(x-7)})
integral de sech^2(2x-1/8)	\int\:\sech^{2}(2x-\frac{1}{8})dx
integral de (1+ln(x))/x	\int\:\frac{1+\ln(x)}{x}dx
integral de ln(e^{6x-7})	\int\:\ln(e^{6x-7})dx
(sqrt(2-x))^'	(\sqrt{2-x})^{\prime\:}
derivada de (9x^2-18x+18e^{-6x})	\frac{d}{dx}((9x^{2}-18x+18)e^{-6x})
derivada de (x^2+4/(x+5))	\frac{d}{dx}(\frac{x^{2}+4}{x+5})
integral de 1 a e^4 de (ln^2(x^2))/x	\int\:_{1}^{e^{4}}\frac{\ln^{2}(x^{2})}{x}dx
integral de-1 a 2 de x^3	\int\:_{-1}^{2}x^{3}dx
límite cuando x tiende a infinity de 0.6^x	\lim\:_{x\to\:\infty\:}(0.6^{x})
derivative f(x)=ln(sqrt(x))	derivative\:f(x)=\ln(\sqrt{x})
derivada de (x+(x+sin^2(x)^7)^3)	\frac{d}{dx}((x+(x+\sin^{2}(x))^{7})^{3})
integral de t^2e^{-t^3}	\int\:t^{2}e^{-t^{3}}dt
laplacetransformación x^4	laplacetransform\:x^{4}
y^{''}+9y=t^3	y^{\prime\:\prime\:}+9y=t^{3}
serie de n=1 a infinity de 6/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{6}{n(n+3)}
derivada de 2x+cos(2x)	\frac{d}{dx}(2x+\cos(2x))
integral de sin((npix)/L)	\int\:\sin(\frac{nπx}{L})dx
derivative f(t)=(t+1)^{2/3}(2t^2-1)^3	derivative\:f(t)=(t+1)^{\frac{2}{3}}(2t^{2}-1)^{3}
integral de 1/(sec(x)tan(x))	\int\:\frac{1}{\sec(x)\tan(x)}dx
d/(dt)((2t+5)/(2t))	\frac{d}{dt}(\frac{2t+5}{2t})
integral de x^2arctan(5x)	\int\:x^{2}\arctan(5x)dx
integral de 4^{-2x}	\int\:4^{-2x}dx
derivative (4x+1)^2	derivative\:(4x+1)^{2}
tangent f(x)=(x^3-25x)^{14},(5,0)	tangent\:f(x)=(x^{3}-25x)^{14},(5,0)
límite cuando t tiende a 0 de ln(sin(4t))	\lim\:_{t\to\:0}(\ln(\sin(4t)))
(\partial)/(\partial x)(e^{(2x+3y)/(3y)})	\frac{\partial\:}{\partial\:x}(e^{\frac{2x+3y}{3y}})
derivada de 5(e^x^{-4})	\frac{d}{dx}(5(e^{x})^{-4})
límite cuando x tiende a 2 de 12x^2	\lim\:_{x\to\:2}(12x^{2})
límite cuando x tiende a-2 de (\|x+2\|)/(x+2)	\lim\:_{x\to\:-2}(\frac{\left\|x+2\right\|}{x+2})
integral de (sech(1/x)tanh(1/x))/(x^2)	\int\:\frac{\sech(\frac{1}{x})\tanh(\frac{1}{x})}{x^{2}}dx
integral de 1/(sqrt(9+t^2))	\int\:\frac{1}{\sqrt{9+t^{2}}}dt
integral de 9csc(x)	\int\:9\csc(x)dx
laplacetransformación e^{-t}(t-1)	laplacetransform\:e^{-t}(t-1)
integral de x/(6x-5)	\int\:\frac{x}{6x-5}dx
y^'=3y^{2/3}	y^{\prime\:}=3y^{\frac{2}{3}}
d/(dy)(e^{-x}+e^{-2y})	\frac{d}{dy}(e^{-x}+e^{-2y})

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