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Problemas populares

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Problemas populares de Cálculo

y(dy)/(dx)=2xe^{y^2}	y\frac{dy}{dx}=2xe^{y^{2}}
derivative (3x^6+4x^3)^4	derivative\:(3x^{6}+4x^{3})^{4}
integral de-infinity a 1 de-e^x	\int\:_{-\infty\:}^{1}-e^{x}dx
integral de (r/3)cos(r/3)	\int\:(\frac{r}{3})\cos(\frac{r}{3})dr
inversalaplace (6(s+1))/(s^2(s+1))	inverselaplace\:\frac{6(s+1)}{s^{2}(s+1)}
(\partial)/(\partial x)(arcsin(2x))	\frac{\partial\:}{\partial\:x}(\arcsin(2x))
integral de (xy)	\int\:(xy)dx
y^{''}+81y=0,y(0)=3,y^'(0)=5	y^{\prime\:\prime\:}+81y=0,y(0)=3,y^{\prime\:}(0)=5
área x^{1/2},x^2	area\:x^{\frac{1}{2}},x^{2}
derivative y= 9/x+2sin(x)	derivative\:y=\frac{9}{x}+2\sin(x)
derivative p(x)=sqrt(x)-\sqrt[4]{x}	derivative\:p(x)=\sqrt{x}-\sqrt[4]{x}
derivada de (2-x^2cos(x)+2xsin(x))	\frac{d}{dx}((2-x^{2})\cos(x)+2x\sin(x))
límite cuando x tiende a infinity de 5	\lim\:_{x\to\:\infty\:}(5)
derivada de (-8/x)	\frac{d}{dx}(\frac{-8}{x})
(d^2)/(dx^2)(x^2+y^2)	\frac{d^{2}}{dx^{2}}(x^{2}+y^{2})
tangent f(x)=xsqrt(x),(1,1)	tangent\:f(x)=x\sqrt{x},(1,1)
integral de e^{4x}sin(5x)	\int\:e^{4x}\sin(5x)dx
límite cuando x tiende a 0 de 4/x-4/(x^2+x)	\lim\:_{x\to\:0}(\frac{4}{x}-\frac{4}{x^{2}+x})
(dy)/(dx)=((2xy))/(x^2-y^2)	\frac{dy}{dx}=\frac{(2xy)}{x^{2}-y^{2}}
d/(da)(abcd+7ab-2bc+5cd-5)	\frac{d}{da}(abcd+7ab-2bc+5cd-5)
(dy)/(dx)+1=2y,y(1)=1	\frac{dy}{dx}+1=2y,y(1)=1
integral de (2u-1)/(4u^2-1)	\int\:\frac{2u-1}{4u^{2}-1}du
integral de (4y)/1	\int\:\frac{4y}{1}dy
tangent y=2e^xcos(x),(0,2)	tangent\:y=2e^{x}\cos(x),(0,2)
integral de x^pi	\int\:x^{π}dx
integral de 2sqrt(x)+3	\int\:2\sqrt{x}+3dx
límite cuando x tiende a 0 de x^{x^x}-1	\lim\:_{x\to\:0}(x^{x^{x}}-1)
derivative (x^2)/3+1/(x^2)	derivative\:\frac{x^{2}}{3}+\frac{1}{x^{2}}
yy^'=-2x(1+y^2)	yy^{\prime\:}=-2x(1+y^{2})
límite cuando x tiende a 3 de 2f(x)-3g(x)	\lim\:_{x\to\:3}(2f(x)-3g(x))
integral de x/(sqrt(x^2-5))	\int\:\frac{x}{\sqrt{x^{2}-5}}dx
tangent f(x)=x^3,a	tangent\:f(x)=x^{3},a
integral de (13sqrt(x)+sqrt(11))	\int\:(13\sqrt{x}+\sqrt{11})dx
integral de-3x*e^{-3x}	\int\:-3x\cdot\:e^{-3x}dx
límite cuando x tiende a-3 de sqrt(25)	\lim\:_{x\to\:-3}(\sqrt{25})
límite cuando x tiende a 0 de+1/x+1/(\|x\|)	\lim\:_{x\to\:0}(+\frac{1}{x}+\frac{1}{\left\|x\right\|})
límite cuando x tiende a 4 de x+2	\lim\:_{x\to\:4}(x+2)
límite cuando x tiende a 2 de 1/(x-2)	\lim\:_{x\to\:2}(\frac{1}{x-2})
f(x)= x/(ln(x))	f(x)=\frac{x}{\ln(x)}
serie de n=0 a infinity de 1/(n+3^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+3^{n}}
pendiente (0.5)(10)	slope\:(0.5)(10)
(\partial)/(\partial x)((y(xxxx-yyyy+4xxyy))/((xx+yy)^2))	\frac{\partial\:}{\partial\:x}(\frac{y(xxxx-yyyy+4xxyy)}{(xx+yy)^{2}})
límite cuando x tiende a-7 de (x+6)/(x+7)	\lim\:_{x\to\:-7}(\frac{x+6}{x+7})
integral de 0 a 6 de pi((y^2)/3)^2	\int\:_{0}^{6}π(\frac{y^{2}}{3})^{2}dy
derivada de [arctan(x](1+x^2))	\frac{d}{dx}([\arctan(x)](1+x^{2}))
límite cuando x tiende a pi de 1/(sin(x))	\lim\:_{x\to\:π}(\frac{1}{\sin(x)})
integral de (x^2)/((1-16x^2)^{3/2)}	\int\:\frac{x^{2}}{(1-16x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a 5-de sqrt(5-x)	\lim\:_{x\to\:5-}(\sqrt{5-x})
integral de (x^5+7)/(x^2)	\int\:\frac{x^{5}+7}{x^{2}}dx
h^{''}=40+4t	h^{\prime\:\prime\:}=40+4t
derivada de 1/(sqrt(4+x^2))	\frac{d}{dx}(\frac{1}{\sqrt{4+x^{2}}})
límite cuando x tiende a infinity de sin(((2x-1)pi)/2)	\lim\:_{x\to\:\infty\:}(\sin(\frac{(2x-1)π}{2}))
derivada de sin(x+3cos(x))	\frac{d}{dx}(\sin(x)+3\cos(x))
integral de cot(1/2 x)	\int\:\cot(\frac{1}{2}x)dx
integral de x^3sqrt(5-x^2)	\int\:x^{3}\sqrt{5-x^{2}}dx
4xy^2+(dy)/(dx)=5x^4y^2	4xy^{2}+\frac{dy}{dx}=5x^{4}y^{2}
integral de (e^y+4)^5e^y	\int\:(e^{y}+4)^{5}e^{y}dy
integral de-2/25 x+45	\int\:-\frac{2}{25}x+45dx
integral de (cos(t))/(6+sin(t))	\int\:\frac{\cos(t)}{6+\sin(t)}dt
integral de 0 a 6 de e^{-x^2}	\int\:_{0}^{6}e^{-x^{2}}dx
integral de 0 a infinity de x^5e^{-x}	\int\:_{0}^{\infty\:}x^{5}e^{-x}dx
(\partial)/(\partial x)(x^{10}+xy^{11}+9)	\frac{\partial\:}{\partial\:x}(x^{10}+xy^{11}+9)
derivada de (2x/(sqrt(1+4x^2+9x^4)))	\frac{d}{dx}(\frac{2x}{\sqrt{1+4x^{2}+9x^{4}}})
derivada de cos^2(x^4)	\frac{d}{dx}(\cos^{2}(x^{4}))
integral de 0 a 2 de x/8	\int\:_{0}^{2}\frac{x}{8}dx
(\partial)/(\partial y)(2x-x^3+3xy^2)	\frac{\partial\:}{\partial\:y}(2x-x^{3}+3xy^{2})
y^2((dx)/(dy))+y^3=1	y^{2}(\frac{dx}{dy})+y^{3}=1
integral de (x^2)/(x^2+1)	\int\:\frac{x^{2}}{x^{2}+1}dx
taylor 7xe^x	taylor\:7xe^{x}
integral de cos(8x)cos(5x)	\int\:\cos(8x)\cos(5x)dx
derivada de (5x/3)	\frac{d}{dx}(\frac{5x}{3})
integral de x\sqrt[9]{4+x^2}	\int\:x\sqrt[9]{4+x^{2}}dx
inversalaplace (9s)/(9s^2+1)	inverselaplace\:\frac{9s}{9s^{2}+1}
inversalaplace (e^{-s})/(s^5)	inverselaplace\:\frac{e^{-s}}{s^{5}}
límite cuando x tiende a 0 de ((4^x-1))/x	\lim\:_{x\to\:0}(\frac{(4^{x}-1)}{x})
integral de sin(7x-10)	\int\:\sin(7x-10)dx
límite cuando x tiende a infinity de 4x^3	\lim\:_{x\to\:\infty\:}(4x^{3})
derivada de 12x^3	\frac{d}{dx}(12x^{3})
(\partial}{\partial y}(ln(\frac{x^2)/y))	\frac{\partial\:}{\partial\:y}(\ln(\frac{x^{2}}{y}))
derivada de sqrt(4/9 x^3)	\frac{d}{dx}(\sqrt{\frac{4}{9}x^{3}})
maclaurin xsin(x^2)	maclaurin\:x\sin(x^{2})
integral de sqrt(x-2)x	\int\:\sqrt{x-2}xdx
derivative 4xy	derivative\:4xy
integral de (8x+13)e^x	\int\:(8x+13)e^{x}dx
derivada de 3ln(x^3)	\frac{d}{dx}(3\ln(x^{3}))
tangent y=x^2+x,\at x=1	tangent\:y=x^{2}+x,\at\:x=1
derivada de arctan(((a^2-x^3)/(b^2)))	\frac{d}{dx}(\arctan(\frac{(a^{2}-x^{3})}{b^{2}}))
derivada de (1-2x^2/(x^4-2x^2+6))	\frac{d}{dx}(\frac{1-2x^{2}}{x^{4}-2x^{2}+6})
integral de sqrt(1+(4x)^2)	\int\:\sqrt{1+(4x)^{2}}dx
d/(dt)(2te^{-t})	\frac{d}{dt}(2te^{-t})
integral de 1/(sin(x)cos^2(x))	\int\:\frac{1}{\sin(x)\cos^{2}(x)}dx
tangent f(x)=10sin(x)+10sqrt(3)cos(x)	tangent\:f(x)=10\sin(x)+10\sqrt{3}\cos(x)
inversalaplace 2/(s^2+3s+2)	inverselaplace\:\frac{2}{s^{2}+3s+2}
serie de n=5 a infinity de (n^2)/(n!)	\sum\:_{n=5}^{\infty\:}\frac{n^{2}}{n!}
integral de-1 a 1 de sqrt(1+x^{-2/3)}	\int\:_{-1}^{1}\sqrt{1+x^{-\frac{2}{3}}}dx
límite cuando t tiende a 1 de 1/(t^2-1)	\lim\:_{t\to\:1}(\frac{1}{t^{2}-1})
(f(t)+g(t))'	(f(t)+g(t))\prime\:
integral de sqrt(x^2+6)	\int\:\sqrt{x^{2}+6}dx
integral de x+cos(x)	\int\:x+\cos(x)dx
derivada de 2xsec(x)	\frac{d}{dx}(2x\sec(x))

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