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Problemas populares Cálculo

derivative sqrt(r^2-x^2)	derivative\:\sqrt{r^{2}-x^{2}}
área x^2,4	area\:x^{2},4
integral de 1/(xsqrt(x+6))	\int\:\frac{1}{x\sqrt{x+6}}dx
integral de ((x^a-x^b)^2)/(sqrt(x))	\int\:\frac{(x^{a}-x^{b})^{2}}{\sqrt{x}}dx
derivative 2/(t-3)	derivative\:\frac{2}{t-3}
pendiente (-2.7)(4.3)	slope\:(-2.7)(4.3)
3(y^4+1)dx+4xy^3dy=0	3(y^{4}+1)dx+4xy^{3}dy=0
(dy)/(dx)=(2xy)/(sqrt(1+x^2))	\frac{dy}{dx}=\frac{2xy}{\sqrt{1+x^{2}}}
inverselaplace s/(s^2-k^2)	inverselaplace\:\frac{s}{s^{2}-k^{2}}
derivada de (x^2-8x+8e^{(9x)/8})	\frac{d}{dx}((x^{2}-8x+8)e^{\frac{9x}{8}})
taylor (1-x)^{-1}	taylor\:(1-x)^{-1}
derivative y=(x^2+6x+2)^3	derivative\:y=(x^{2}+6x+2)^{3}
integral de 1/(v^2+v)	\int\:\frac{1}{v^{2}+v}dv
derivative f(x)=arctan(sqrt(x))	derivative\:f(x)=\arctan(\sqrt{x})
(\partial)/(\partial y)(xye^y)	\frac{\partial\:}{\partial\:y}(xye^{y})
integral de sin(22x)cos(15x)	\int\:\sin(22x)\cos(15x)dx
integral de 1 a e^4 de 1/(x(1+ln(x)))	\int\:_{1}^{e^{4}}\frac{1}{x(1+\ln(x))}dx
integral de y^2*cos(y)	\int\:y^{2}\cdot\:\cos(y)dy
integral de 5/(2x-2)	\int\:\frac{5}{2x-2}dx
límite cuando x tiende a 1+de x/(ln(x))	\lim\:_{x\to\:1+}(\frac{x}{\ln(x)})
límite cuando x tiende a 3 de x^2+x-5	\lim\:_{x\to\:3}(x^{2}+x-5)
y^{''}-(x/(x-1))y^'+1/(x-1)y=0	y^{\prime\:\prime\:}-(\frac{x}{x-1})y^{\prime\:}+\frac{1}{x-1}y=0
límite cuando x tiende a 2 de 3x^2+2x-16	\lim\:_{x\to\:2}(3x^{2}+2x-16)
(\partial)/(\partial x)(x-2y^3)	\frac{\partial\:}{\partial\:x}(x-2y^{3})
integral de x	\int\:xdt
serie de n=0 a infinity de (-3/4)^{n-1}	\sum\:_{n=0}^{\infty\:}(-\frac{3}{4})^{n-1}
integral de 2θcos(θ)	\int\:2θ\cos(θ)dθ
límite cuando x tiende a infinity de \sqrt[3]{(1+2/x)}-x	\lim\:_{x\to\:\infty\:}(\sqrt[3]{(1+\frac{2}{x})}-x)
derivada de-8/(x^3+2/(x^2))	\frac{d}{dx}(-\frac{8}{x^{3}}+\frac{2}{x^{2}})
integral de (e^{arctan(x)}+1)/(1+x^2)	\int\:\frac{e^{\arctan(x)}+1}{1+x^{2}}dx
límite cuando x tiende a-1-de x/(\|x-1\|)	\lim\:_{x\to\:-1-}(\frac{x}{\left\|x-1\right\|})
integral de 4sin(x+pi/4)cos(x-pi/4)	\int\:4\sin(x+\frac{π}{4})\cos(x-\frac{π}{4})dx
(\partial)/(\partial x)((x(v-b))/(r(x,v)))	\frac{\partial\:}{\partial\:x}(\frac{x(v-b)}{r(x,v)})
integral de (sin(sqrt(x))*cos(sqrt(x)))/(sqrt(x))	\int\:\frac{\sin(\sqrt{x})\cdot\:\cos(\sqrt{x})}{\sqrt{x}}dx
integral de 1/(-196.2-4v^2)	\int\:\frac{1}{-196.2-4v^{2}}dv
límite cuando x tiende a infinity de 4/x	\lim\:_{x\to\:\infty\:}(\frac{4}{x})
derivada de (sec(x)^3)	\frac{d}{dx}((\sec(x))^{3})
derivada de dcos(t+t^2sin(t))	\frac{d}{dx}(d\cos(t)+t^{2}\sin(t))
(dx)/(dt)=x^2+1/25	\frac{dx}{dt}=x^{2}+\frac{1}{25}
derivative f(x)=(x-1)e^x	derivative\:f(x)=(x-1)e^{x}
límite cuando x tiende a 1-de 2^{1/(x-2)}	\lim\:_{x\to\:1-}(2^{\frac{1}{x-2}})
integral de (sqrt(9-x^2))/(x^2)	\int\:\frac{\sqrt{9-x^{2}}}{x^{2}}dx
y^'=t^{0.5},y(0)=0	y^{\prime\:}=t^{0.5},y(0)=0
derivada de 5xe^{3x}	\frac{d}{dx}(5xe^{3x})
integral de 0 a pi/3 de 8sec^3(x)	\int\:_{0}^{\frac{π}{3}}8\sec^{3}(x)dx
tangent f(x)=sqrt(7x+2),(2,4)	tangent\:f(x)=\sqrt{7x+2},(2,4)
xy^'+y=e^x,y(1)=1	xy^{\prime\:}+y=e^{x},y(1)=1
slopeintercept (3,6),(5,-8)	slopeintercept\:(3,6),(5,-8)
(\partial)/(\partial x)(ln(x+t^2))	\frac{\partial\:}{\partial\:x}(\ln(x+t^{2}))
integral de-2 a-1 de xf(x^2+1)	\int\:_{-2}^{-1}xf(x^{2}+1)dx
derivative f(x)= x/((x-1)^2)	derivative\:f(x)=\frac{x}{(x-1)^{2}}
d/(dt)(ln(2t))	\frac{d}{dt}(\ln(2t))
integral de 0 a 1 de 1/(sqrt(x^3))	\int\:_{0}^{1}\frac{1}{\sqrt{x^{3}}}dx
integral de (9t-5)/(t+1)	\int\:\frac{9t-5}{t+1}dt
límite cuando x tiende a 0 de (x-32)/(x-4)	\lim\:_{x\to\:0}(\frac{x-32}{x-4})
límite cuando x tiende a-1-de x^2+2	\lim\:_{x\to\:-1-}(x^{2}+2)
derivative f(x)=(x^2+2x)/(x^2-1)	derivative\:f(x)=\frac{x^{2}+2x}{x^{2}-1}
integral de 1/(1+14x)	\int\:\frac{1}{1+14x}dx
f(x)=sqrt(4x+1)	f(x)=\sqrt{4x+1}
límite cuando x tiende a 0 de ((2+x)^2-4)/x	\lim\:_{x\to\:0}(\frac{(2+x)^{2}-4}{x})
derivada de arccos(9/x)	\frac{d}{dx}(\arccos(\frac{9}{x}))
(\partial)/(\partial y)(sqrt(xy)-z)	\frac{\partial\:}{\partial\:y}(\sqrt{xy}-z)
(d^2)/(dx^2)(e^{4/x})	\frac{d^{2}}{dx^{2}}(e^{\frac{4}{x}})
integral de (3x)/(sqrt(x^2+2x+5))	\int\:\frac{3x}{\sqrt{x^{2}+2x+5}}dx
integral de ((2x-3))/(sqrt(9-x^2))	\int\:\frac{(2x-3)}{\sqrt{9-x^{2}}}dx
y^'=-0.5y^{1.5}	y^{\prime\:}=-0.5y^{1.5}
(\partial)/(\partial y)(xarcsin(y/x))	\frac{\partial\:}{\partial\:y}(x\arcsin(\frac{y}{x}))
derivative f(x)=(x+5)(9sqrt(x)+5)	derivative\:f(x)=(x+5)(9\sqrt{x}+5)
derivada de (cos(x+2)^3(2x)^{(-3x)})	\frac{d}{dx}((\cos(x)+2)^{3}(2x)^{(-3x)})
integral de (e^{-x^2})	\int\:(e^{-x^{2}})dx
integral de te^{-t}	\int\:te^{-t}dt
y^{''}+4y^'=-6x-3	y^{\prime\:\prime\:}+4y^{\prime\:}=-6x-3
(\partial)/(\partial x)(-sin(x)cos(y))	\frac{\partial\:}{\partial\:x}(-\sin(x)\cos(y))
serie de n=2 a infinity de 1/((n^3-n))	\sum\:_{n=2}^{\infty\:}\frac{1}{(n^{3}-n)}
(dy)/(dx)= 1/3 y(8-y),y(0)=1	\frac{dy}{dx}=\frac{1}{3}y(8-y),y(0)=1
2x^4y^'=k	2x^{4}y^{\prime\:}=k
integral de (2x^3+6x)^2	\int\:(2x^{3}+6x)^{2}dx
(\partial)/(\partial x)(5ln(sqrt(xy)))	\frac{\partial\:}{\partial\:x}(5\ln(\sqrt{xy}))
x^{''}+20x^'+500x=12	x^{\prime\:\prime\:}+20x^{\prime\:}+500x=12
integral de 0 a 4 de sqrt(x)-x+2	\int\:_{0}^{4}\sqrt{x}-x+2dx
derivada de e^x+2	\frac{d}{dx}(e^{x}+2)
integral de 6e^{6x}	\int\:6e^{6x}dx
límite cuando x tiende a+(-3)+de 8x+5	\lim\:_{x\to\:+(-3)+}(8x+5)
derivative f(x)=x^{ln(x)}	derivative\:f(x)=x^{\ln(x)}
derivada de ((x-2/(x-pi))^{-3})	\frac{d}{dx}((\frac{x-2}{x-π})^{-3})
(\partial)/(\partial x)(e^{-x^2+y^2})	\frac{\partial\:}{\partial\:x}(e^{-x^{2}+y^{2}})
derivative 4^r	derivative\:4^{r}
integral de cos(2x)cos(7x)	\int\:\cos(2x)\cos(7x)dx
límite cuando (x,y) tiende a (0,0) de (sin(xy))/(sqrt(x^2+y^2))	\lim\:_{(x,y)\to\:(0,0)}(\frac{\sin(xy)}{\sqrt{x^{2}+y^{2}}})
integral de-2 a 2 de (32-8y^2)	\int\:_{-2}^{2}(32-8y^{2})dy
derivada de ((3x-4/(5x+2))^{-5})	\frac{d}{dx}((\frac{3x-4}{5x+2})^{-5})
derivative f(x)=5x^2cos(x)+4x	derivative\:f(x)=5x^{2}\cos(x)+4x
derivative 3x+sin(5x)	derivative\:3x+\sin(5x)
f(x)=ln(cos(x))	f(x)=\ln(\cos(x))
(\partial)/(\partial x)((7y-7x)/(y^2+2x^2))	\frac{\partial\:}{\partial\:x}(\frac{7y-7x}{y^{2}+2x^{2}})
(x^2-2x-2sin(x-2))^'	(x^{2}-2x-2\sin(x-2))^{\prime\:}
serie de n=1 a infinity de (n!)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{n!}{n!}
integral de xcos(nxpi)	\int\:x\cos(nxπ)dx
(\partial)/(\partial x)(xarctan(y/z))	\frac{\partial\:}{\partial\:x}(x\arctan(\frac{y}{z}))
extreme f(r)=e^r+x^e	extreme\:f(r)=e^{r}+x^{e}

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