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Problemas populares de Cálculo

límite cuando x tiende a 0 de x	\lim\:_{x\to\:0}(x)
serie de n=0 a infinity de (-1^n)/(n+2)	\sum\:_{n=0}^{\infty\:}\frac{-1^{n}}{n+2}
(dh)/(dt)=-h^2	\frac{dh}{dt}=-h^{2}
integral de sqrt(4/(x^4-x^2))	\int\:\sqrt{\frac{4}{x^{4}-x^{2}}}dx
integral de 1/(x^2sqrt(x^2-5))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-5}}dx
paridad y=x^{8cos(x)}	parity\:y=x^{8\cos(x)}
derivative y=arccsc(e^{9t})	derivative\:y=\arccsc(e^{9t})
integral de-8/(sqrt(x^2+16))	\int\:-\frac{8}{\sqrt{x^{2}+16}}dx
tangent f(x)=8e^{-0.5x},\at x=7	tangent\:f(x)=8e^{-0.5x},\at\:x=7
(\partial)/(\partial x)(4xsin(xy))	\frac{\partial\:}{\partial\:x}(4x\sin(xy))
derivada de-2/((x-2^2))	\frac{d}{dx}(-\frac{2}{(x-2)^{2}})
límite cuando x tiende a 2 de ((x+3)/(2x+1))^{2/(x-2)}	\lim\:_{x\to\:2}((\frac{x+3}{2x+1})^{\frac{2}{x-2}})
derivada de xarccos(3x)	\frac{d}{dx}(x\arccos(3x))
integral de-2 a 4 de 1/((x-3)^3)	\int\:_{-2}^{4}\frac{1}{(x-3)^{3}}dx
implicit (dy)/(dx),y=2x^3	implicit\:\frac{dy}{dx},y=2x^{3}
integral de e^{3x}sin(4x)	\int\:e^{3x}\sin(4x)dx
derivative f(x)= 3/(x^2)-1/x	derivative\:f(x)=\frac{3}{x^{2}}-\frac{1}{x}
laplacetransformación 1+0.1e^{-0.02t}	laplacetransform\:1+0.1e^{-0.02t}
x^2y^{''}-2xy^'+2y=4x^2	x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+2y=4x^{2}
inversalaplace (2s+3)/(s^2+2s+5)	inverselaplace\:\frac{2s+3}{s^{2}+2s+5}
derivative csc^7(2t^pi+pi^3)	derivative\:\csc^{7}(2t^{π}+π^{3})
derivada de ln\|sqrt(x^2+1)+x\|	\frac{d}{dx}(\ln\left\|\sqrt{x^{2}+1}+x\right\|)
(\partial)/(\partial x)(x^{1/y})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{y}})
integral de 1/(5xlog_{7)(x)}	\int\:\frac{1}{5x\log_{7}(x)}dx
límite cuando x tiende a 6-de f(x)	\lim\:_{x\to\:6-}(f(x))
(\partial ^2)/(\partial x\partial y)(3xye^{-x^2y})	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(3xye^{-x^{2}y})
(\partial)/(\partial x)(x/(6+y))	\frac{\partial\:}{\partial\:x}(\frac{x}{6+y})
integral de sqrt(x)*x	\int\:\sqrt{x}\cdot\:xdx
límite cuando x tiende a 0-de (x-x)/x	\lim\:_{x\to\:0-}(\frac{x-x}{x})
derivada de (x-6/(sqrt(x)-\sqrt{6)})	\frac{d}{dx}(\frac{x-6}{\sqrt{x}-\sqrt{6}})
integral de 1/(e^{x/a)-e^{-x/a}}	\int\:\frac{1}{e^{\frac{x}{a}}-e^{-\frac{x}{a}}}dx
serie de n=1 a infinity de n(1/e)^n	\sum\:_{n=1}^{\infty\:}n(\frac{1}{e})^{n}
integral de 1/(sqrt(x)(\sqrt{x-7))}	\int\:\frac{1}{\sqrt{x}(\sqrt{x-7})}dx
derivative-tan(x)	derivative\:-\tan(x)
derivada de cos(x+2x^2+1)	\frac{d}{dx}(\cos(x)+2x^{2}+1)
inversalaplace 1/((s^2-6s+10))	inverselaplace\:\frac{1}{(s^{2}-6s+10)}
(\partial ^2)/(\partial x^2)(e^{3x+4y}cos(5z))	\frac{\partial\:^{2}}{\partial\:x^{2}}(e^{3x+4y}\cos(5z))
inversalaplace 2/(5(s+3)^2+125)	inverselaplace\:\frac{2}{5(s+3)^{2}+125}
integral de (log_{10}(log_{10}(x)))/x	\int\:\frac{\log_{10}(\log_{10}(x))}{x}dx
derivada de (x^2/(sqrt(x^3+1)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{x^{3}+1}})
(\partial)/(\partial x)(e^{-y}+e^{-x})	\frac{\partial\:}{\partial\:x}(e^{-y}+e^{-x})
periodicidad f(x)=4sin(4x)	periodicity\:f(x)=4\sin(4x)
derivada de ln(3+x^2)	\frac{d}{dx}(\ln(3+x^{2}))
x^'+6x=0	x^{\prime\:}+6x=0
serie de n=0 a infinity de 3*(-2/5)^n	\sum\:_{n=0}^{\infty\:}3\cdot\:(-\frac{2}{5})^{n}
tangent f(x)=(2x)/(x-1),\at x=2	tangent\:f(x)=\frac{2x}{x-1},\at\:x=2
integral de (x^2+1)e^{2x}	\int\:(x^{2}+1)e^{2x}dx
derivative f(x)=5e^x	derivative\:f(x)=5e^{x}
derivada de 3/4 x^{3/2}	\frac{d}{dx}(\frac{3}{4}x^{\frac{3}{2}})
derivative 1/((3x)^2)	derivative\:\frac{1}{(3x)^{2}}
límite cuando x tiende a 2 de 3x^2+7x-1	\lim\:_{x\to\:2}(3x^{2}+7x-1)
derivative tan(t)-e^{-t}	derivative\:\tan(t)-e^{-t}
integral de (cos(x))/(sin^3(x)-4sin(x))	\int\:\frac{\cos(x)}{\sin^{3}(x)-4\sin(x)}dx
integral de (csc^2(θ)+9)	\int\:(\csc^{2}(θ)+9)dθ
área f(x)=cos(x),0, pi/4	area\:f(x)=\cos(x),0,\frac{π}{4}
tangent f(x)=(x^3)/2-4/(3x),\at x=2	tangent\:f(x)=\frac{x^{3}}{2}-\frac{4}{3x},\at\:x=2
domínio y=e^{mx}m	domain\:y=e^{mx}m
derivada de 3x^2-3x	\frac{d}{dx}(3x^{2}-3x)
(y^3-xy^2)dx+2x^2ydy=0	(y^{3}-xy^{2})dx+2x^{2}ydy=0
(a^3)^'	(a^{3})^{\prime\:}
límite cuando x tiende a 4 de 6-3x	\lim\:_{x\to\:4}(6-3x)
derivada de ccos(t+t^2,t)	\frac{d}{dx}(c\cos(t)+t^{2},t)
derivada de arcsec(e^{3x})	\frac{d}{dx}(\arcsec(e^{3x}))
y^'=(sec(y))/((x+2)^2)	y^{\prime\:}=\frac{\sec(y)}{(x+2)^{2}}
tangent f(x)=-3+(x+4)^2,\at x=-5	tangent\:f(x)=-3+(x+4)^{2},\at\:x=-5
inversalaplace (2*(s^2+1))/(s^4)	inverselaplace\:\frac{2\cdot\:(s^{2}+1)}{s^{4}}
derivada de e^{(x^2/(2a)})	\frac{d}{dx}(e^{\frac{x^{2}}{2a}})
y^'=y^2-8	y^{\prime\:}=y^{2}-8
límite cuando x tiende a 0 de (5/(1+x)-5)/x	\lim\:_{x\to\:0}(\frac{\frac{5}{1+x}-5}{x})
derivada de sin(2xdx)	\frac{d}{dx}(\sin(2x)dx)
(xysin(x)+2ycos(x))dx+(2xcos(x))dy=0	(xy\sin(x)+2y\cos(x))dx+(2x\cos(x))dy=0
límite cuando h tiende a 0 de ((2-h)^3-8)/h	\lim\:_{h\to\:0}(\frac{(2-h)^{3}-8}{h})
integral de sin(y^3)	\int\:\sin(y^{3})dy
(\partial)/(\partial x)(sin(pi(3x-5y)))	\frac{\partial\:}{\partial\:x}(\sin(π(3x-5y)))
integral de (t^3)/(sqrt(t^4+9))	\int\:\frac{t^{3}}{\sqrt{t^{4}+9}}dt
taylor 1/(1+1/5 x^3)	taylor\:\frac{1}{1+\frac{1}{5}x^{3}}
(\partial)/(\partial y)(2xe^{x^2+y^2})	\frac{\partial\:}{\partial\:y}(2xe^{x^{2}+y^{2}})
(\partial)/(\partial x)((xy-2)e^{-xy})	\frac{\partial\:}{\partial\:x}((xy-2)e^{-xy})
derivative (((2x+5)^7))/(14)	derivative\:\frac{((2x+5)^{7})}{14}
pendiente x^4-8x^2+16	slope\:x^{4}-8x^{2}+16
derivada de (-3/(x-6)-2)	\frac{d}{dx}(\frac{-3}{x-6}-2)
derivada de 0.8*x^4	\frac{d}{dx}(0.8\cdot\:x^{4})
integral de xsin^2(x)cos^3(x)	\int\:x\sin^{2}(x)\cos^{3}(x)dx
límite cuando x tiende a 125 de (x-125)/(\sqrt[3]{x)-5}	\lim\:_{x\to\:125}(\frac{x-125}{\sqrt[3]{x}-5})
integral de (4x^2+8x+5)^6(x+1)	\int\:(4x^{2}+8x+5)^{6}(x+1)dx
integral de 1/((x+7)(x^2+16))	\int\:\frac{1}{(x+7)(x^{2}+16)}dx
integral de (2x^3+x+1)/(x^2+9)	\int\:\frac{2x^{3}+x+1}{x^{2}+9}dx
derivative sqrt(1-9x)	derivative\:\sqrt{1-9x}
integral de 0 a 4 de 0.125x^3	\int\:_{0}^{4}0.125x^{3}dx
derivative e^{-x}arctan(2e^x)	derivative\:e^{-x}\arctan(2e^{x})
integral de (3x^2+4x+1)	\int\:(3x^{2}+4x+1)dx
serie de n=0 a infinity de (-x^2-8)^n	\sum\:_{n=0}^{\infty\:}(-x^{2}-8)^{n}
integral de 1/2 e^{x^2}	\int\:\frac{1}{2}e^{x^{2}}dx
(x^2-4)*(dy)/(dx)+4y=(x+2)^2	(x^{2}-4)\cdot\:\frac{dy}{dx}+4y=(x+2)^{2}
integral de 12xy	\int\:12xydx
x^2y^{''}-xy^'+2y=0	x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}+2y=0
derivada de (2y/x)	\frac{d}{dx}(\frac{2y}{x})
integral de 9sin^4(x)cos^2(x)	\int\:9\sin^{4}(x)\cos^{2}(x)dx
derivative y=x^2e^{-3x}	derivative\:y=x^{2}e^{-3x}
integral de s/(sqrt(3s^2+1))	\int\:\frac{s}{\sqrt{3s^{2}+1}}ds

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