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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial y)(2x^2-y^2+3x-y)	\frac{\partial\:}{\partial\:y}(2x^{2}-y^{2}+3x-y)
derivative ln(cos(2x))	derivative\:\ln(\cos(2x))
integral de 1/3 a 7 de 10xln(3x)	\int\:_{\frac{1}{3}}^{7}10x\ln(3x)dx
integral de-9 a-7 de 1/x	\int\:_{-9}^{-7}\frac{1}{x}dx
integral de 0 a 1 de 3/(sqrt(x)(x+1))	\int\:_{0}^{1}\frac{3}{\sqrt{x}(x+1)}dx
integral de e^{-3x^2}	\int\:e^{-3x^{2}}dx
integral de 4xsin(2x)	\int\:4x\sin(2x)dx
pendienteintercept (-3,-4),(0,2)	slopeintercept\:(-3,-4),(0,2)
integral de 1/(10x^3)	\int\:\frac{1}{10x^{3}}dx
integral de x^2sqrt(6+x^3)	\int\:x^{2}\sqrt{6+x^{3}}dx
d/(d{r)}(2/({r)^3})	\frac{d}{d{r}}(\frac{2}{{r}^{3}})
y^{''}+10y^'+41y=0	y^{\prime\:\prime\:}+10y^{\prime\:}+41y=0
integral de (x^2+2)e^{-x}	\int\:(x^{2}+2)e^{-x}dx
serie de n=3 a infinity de 4^{(n+2)}	\sum\:_{n=3}^{\infty\:}4^{(n+2)}
integral de (x^2+x+1)/x	\int\:\frac{x^{2}+x+1}{x}dx
(1+xy)y^'+y^2=0	(1+xy)y^{\prime\:}+y^{2}=0
derivative y=(arctan(5x))^2	derivative\:y=(\arctan(5x))^{2}
serie de k=0 a infinity de ((x-4)/5)^k	\sum\:_{k=0}^{\infty\:}(\frac{x-4}{5})^{k}
(\partial)/(\partial x)(2xsin(y-z))	\frac{\partial\:}{\partial\:x}(2x\sin(y-z))
inversalaplace (3e^{(-2s)})/((s^2+2s+5))	inverselaplace\:\frac{3e^{(-2s)}}{(s^{2}+2s+5)}
integral de (3sqrt(x)(2))/((sqrt(x)))	\int\:\frac{3\sqrt{x}(2)}{(\sqrt{x})}dx
derivada de (ln(sqrt(x))/x)	\frac{d}{dx}(\frac{\ln(\sqrt{x})}{x})
integral de 0 a 1 de 5/(1+t^2)	\int\:_{0}^{1}\frac{5}{1+t^{2}}dt
integral de x^5(x^6+5)^5	\int\:x^{5}(x^{6}+5)^{5}dx
simplificar ln(sqrt(x^2-1))	simplify\:\ln(\sqrt{x^{2}-1})
f(x)=x^2e^{11x}	f(x)=x^{2}e^{11x}
integral de (x^3)/(sqrt(x^4+1))	\int\:\frac{x^{3}}{\sqrt{x^{4}+1}}dx
límite cuando x tiende a 0 de (tan(x))/(5x)	\lim\:_{x\to\:0}(\frac{\tan(x)}{5x})
y^{'''}-6y^{''}+12y^'-8y=0	y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}+12y^{\prime\:}-8y=0
(e^xcos(y)+2x)dx-(e^xsin(y))dy=0	(e^{x}\cos(y)+2x)dx-(e^{x}\sin(y))dy=0
x^'=(x-4)^2	x^{\prime\:}=(x-4)^{2}
derivative ((e^{2p}+1))/(3e^{2p)}	derivative\:\frac{(e^{2p}+1)}{3e^{2p}}
límite cuando x tiende a 7+de-2x^2+2	\lim\:_{x\to\:7+}(-2x^{2}+2)
derivative sin(9x)+sin^2(9x)	derivative\:\sin(9x)+\sin^{2}(9x)
integral de (4x+5)^2	\int\:(4x+5)^{2}dx
límite cuando x tiende a 1/3 de (9x-3)^3	\lim\:_{x\to\:\frac{1}{3}}((9x-3)^{3})
d/(dt)(1/(sqrt(1-2t)))	\frac{d}{dt}(\frac{1}{\sqrt{1-2t}})
integral de 8e^{7x}	\int\:8e^{7x}dx
límite cuando x tiende a 1 de pixcos(pi)x	\lim\:_{x\to\:1}(πx\cos(π)x)
integral de e^xsqrt(a-be^x)	\int\:e^{x}\sqrt{a-be^{x}}dx
y^{''}+y^'+2y=0	y^{\prime\:\prime\:}+y^{\prime\:}+2y=0
derivada de (5x^2-9(8x+3))	\frac{d}{dx}((5x^{2}-9)(8x+3))
pendienteintercept (9.7)(3)	slopeintercept\:(9.7)(3)
derivative xe^{4x}	derivative\:xe^{4x}
(dy)/(dx)=x^2-y	\frac{dy}{dx}=x^{2}-y
integral de 1/(x^2sqrt(49-x^2))	\int\:\frac{1}{x^{2}\sqrt{49-x^{2}}}dx
tangent f(x)=x^2,\at x=0	tangent\:f(x)=x^{2},\at\:x=0
integral de 7sin^2(t)cos^4(t)	\int\:7\sin^{2}(t)\cos^{4}(t)dt
laplacetransformación ((2te^{-3t}))/5+3t*sin(t)	laplacetransform\:\frac{(2te^{-3t})}{5}+3t\cdot\:\sin(t)
(13+x^2)y^'-2xy=0	(13+x^{2})y^{\prime\:}-2xy=0
(\partial)/(\partial x)(yx+2x+{g}(y))	\frac{\partial\:}{\partial\:x}(yx+2x+{g}(y))
y^'=-xy	y^{\prime\:}=-xy
tangent f(x)=x^3-2x+2,\at x=3	tangent\:f(x)=x^{3}-2x+2,\at\:x=3
(\partial)/(\partial x)(ln(ax+by)+c^{x+y})	\frac{\partial\:}{\partial\:x}(\ln(ax+by)+c^{x+y})
integral de (cos(x))/(sin^2(x))	\int\:\frac{\cos(x)}{\sin^{2}(x)}dx
integral de e^{2x}-e^x	\int\:e^{2x}-e^{x}dx
inversalaplace a/(s+a)	inverselaplace\:\frac{a}{s+a}
integral de 4x^3	\int\:4x^{3}dx
derivada de 1/(9x)	\frac{d}{dx}(\frac{1}{9x})
integral de xa^x	\int\:xa^{x}dx
integral de (x^2)/((196+x^2)^2)	\int\:\frac{x^{2}}{(196+x^{2})^{2}}dx
(\partial)/(\partial x)(xy-2x-2y-x^2-y^2)	\frac{\partial\:}{\partial\:x}(xy-2x-2y-x^{2}-y^{2})
serie de n=1 a infinity de 2/(4n^2-1)	\sum\:_{n=1}^{\infty\:}\frac{2}{4n^{2}-1}
integral de (sqrt(x^2-1))/(x^3)	\int\:\frac{\sqrt{x^{2}-1}}{x^{3}}dx
(dy)/(dt)=6e^{2t-y}	\frac{dy}{dt}=6e^{2t-y}
derivada de mxe^{nx^2}	\frac{d}{dx}(mxe^{nx^{2}})
derivada de 5*T{g}(T,x(2x^3)+2/(x^2))	\frac{d}{dx}(5\cdot\:T{g}(T,x)(2x^{3})+\frac{2}{x^{2}})
tangent y= 5/(sqrt(x)),(1,5)	tangent\:y=\frac{5}{\sqrt{x}},(1,5)
integral de 6/5 a 4 de 1/(1-x^2)	\int\:_{\frac{6}{5}}^{4}\frac{1}{1-x^{2}}dx
integral de x^{3/2}(4-4x)	\int\:x^{\frac{3}{2}}(4-4x)dx
límite cuando x tiende a infinity de 0.72x	\lim\:_{x\to\:\infty\:}(0.72x)
derivada de sqrt(29-x^2-4y^2)	\frac{d}{dx}(\sqrt{29-x^{2}-4y^{2}})
derivada de 4cos(xsin(x))	\frac{d}{dx}(4\cos(x)\sin(x))
derivative f(x)=(x^3+9)/(x^3)	derivative\:f(x)=\frac{x^{3}+9}{x^{3}}
derivada de (x^2+3x/7)	\frac{d}{dx}(\frac{x^{2}+3x}{7})
d/(ds)(s/(s^2+4))	\frac{d}{ds}(\frac{s}{s^{2}+4})
derivative e^{3x}(3cos(4x)-4sin(4x))	derivative\:e^{3x}(3\cos(4x)-4\sin(4x))
integral de (-5x^2)/(sqrt(4x-x^2))	\int\:\frac{-5x^{2}}{\sqrt{4x-x^{2}}}dx
derivative f(x)=8x^4-3x^3+4x	derivative\:f(x)=8x^{4}-3x^{3}+4x
derivada de cos(sin(x^4))	\frac{d}{dx}(\cos(\sin(x^{4})))
d/(dy)(y^{1-n})	\frac{d}{dy}(y^{1-n})
integral de (2x^2)/(4+x^2)	\int\:\frac{2x^{2}}{4+x^{2}}dx
y^3-(6x+4)+3xy^2y^'=0	y^{3}-(6x+4)+3xy^{2}y^{\prime\:}=0
serie de n=1 a infinity de (2^n)/n (4x-8)^n	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{n}(4x-8)^{n}
integral de 2 a 4 de 3sqrt(x)	\int\:_{2}^{4}3\sqrt{x}dx
derivative f(x)=(3x-10)(2x^2-x+1)	derivative\:f(x)=(3x-10)(2x^{2}-x+1)
integral de 17e^x	\int\:17e^{x}dx
integral de a/(x^3)	\int\:\frac{a}{x^{3}}dx
serie de n=1 a infinity de 1^n	\sum\:_{n=1}^{\infty\:}1^{n}
integral de 2ax	\int\:2axdx
límite cuando x tiende a 0 de (x+1)^{1/x}	\lim\:_{x\to\:0}((x+1)^{\frac{1}{x}})
x^3y^{'''}-x^2y^{''}+2xy^'-2y=0	x^{3}y^{\prime\:\prime\:\prime\:}-x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-2y=0
límite cuando x tiende a-infinity de e^{3x}(2-x)	\lim\:_{x\to\:-\infty\:}(e^{3x}(2-x))
integral de (xsqrt(x)+sqrt(x))/(x^2)	\int\:\frac{x\sqrt{x}+\sqrt{x}}{x^{2}}dx
integral de (3/x+5/(x^2))	\int\:(\frac{3}{x}+\frac{5}{x^{2}})dx
laplacetransformación 3sin(5t+45)	laplacetransform\:3\sin(5t+45)
integral de ((x^7+3x^5-2x^3-4))/(x^3)	\int\:\frac{(x^{7}+3x^{5}-2x^{3}-4)}{x^{3}}dx
(\partial)/(\partial y)(1000-4xy+xy^2)	\frac{\partial\:}{\partial\:y}(1000-4xy+xy^{2})
(\partial)/(\partial x)(e^{-3t}cos(pix))	\frac{\partial\:}{\partial\:x}(e^{-3t}\cos(πx))
integral de 0 a 5/7 de 5x-7x^2	\int\:_{0}^{\frac{5}{7}}5x-7x^{2}dx

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