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Problemas populares Cálculo

integral de x8^x	\int\:x8^{x}dx
(\partial)/(\partial x)(x^{1/2}y^{1/2})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{2}}y^{\frac{1}{2}})
inverselaplace 3/(s^4)	inverselaplace\:\frac{3}{s^{4}}
pendiente x^2+2	slope\:x^{2}+2
integral de 1-2cos(x)+cos^2(x)	\int\:1-2\cos(x)+\cos^{2}(x)dx
integral de (e^{6/x})/(x^2)	\int\:\frac{e^{\frac{6}{x}}}{x^{2}}dx
integral de 1/s	\int\:\frac{1}{s}ds
integral de (cosh(x))/(2+3sinh(x))	\int\:\frac{\cosh(x)}{2+3\sinh(x)}dx
derivada de (sec(x)/(1+sec(x)))	\frac{d}{dx}(\frac{\sec(x)}{1+\sec(x)})
derivada de (6x+2/(x+1))	\frac{d}{dx}(\frac{6x+2}{x+1})
derivada de (x+2sqrt(2x-3))	\frac{d}{dx}((x+2)\sqrt{2x-3})
(\partial)/(\partial x)(x^2+3yz+4xy)	\frac{\partial\:}{\partial\:x}(x^{2}+3yz+4xy)
y^'=(xy^'+y)y^1985	y^{\prime\:}=(xy^{\prime\:}+y)y^{1}985
derivada de (2x/(x^3))	\frac{d}{dx}(\frac{2x}{x^{3}})
(\partial)/(\partial y)(ln(2x^3+3y^2))	\frac{\partial\:}{\partial\:y}(\ln(2x^{3}+3y^{2}))
integral de 0 a 2 de (x^2)^2	\int\:_{0}^{2}(x^{2})^{2}dx
límite cuando x tiende a 0 de 1/(1-e^x)-1/x	\lim\:_{x\to\:0}(\frac{1}{1-e^{x}}-\frac{1}{x})
integral de e^{x^2}x	\int\:e^{x^{2}}xdx
límite cuando x tiende a-5+de (\|x-5\|)/(x-5)	\lim\:_{x\to\:-5+}(\frac{\left\|x-5\right\|}{x-5})
derivada de 9cos(x-cos(9x))	\frac{d}{dx}(9\cos(x)-\cos(9x))
límite cuando x tiende a 0 de 1/(1+x)	\lim\:_{x\to\:0}(\frac{1}{1+x})
derivative-5e^{-x}+30e^{-5x}	derivative\:-5e^{-x}+30e^{-5x}
integral de (1-3t)/(t^2)	\int\:\frac{1-3t}{t^{2}}dt
derivative f(x)=15e^{x^2}	derivative\:f(x)=15e^{x^{2}}
derivative f(x)=3x^2+12	derivative\:f(x)=3x^{2}+12
derivada de 1/(x+\frac{1{x+1}})	\frac{d}{dx}(\frac{1}{x+\frac{1}{x+1}})
(\partial)/(\partial x)(ln(sin(xy)))	\frac{\partial\:}{\partial\:x}(\ln(\sin(xy)))
laplacetransform sin^2(4t)	laplacetransform\:\sin^{2}(4t)
(\partial)/(\partial x)(2sqrt(y/x))	\frac{\partial\:}{\partial\:x}(2\sqrt{\frac{y}{x}})
límite cuando x tiende a 0 de e^{4x}	\lim\:_{x\to\:0}(e^{4x})
laplacetransform 2x^2-3x+4	laplacetransform\:2x^{2}-3x+4
límite cuando x tiende a 18 de-97x	\lim\:_{x\to\:18}(-97x)
y^'+y=xy^3,y(1)= 1/(sqrt(2))	y^{\prime\:}+y=xy^{3},y(1)=\frac{1}{\sqrt{2}}
integral de 12y^2	\int\:12y^{2}dy
laplacetransform 5t	laplacetransform\:5t
derivative e^{x^2}+x^3	derivative\:e^{x^{2}}+x^{3}
límite cuando x tiende a 0 de cos^2(2x)	\lim\:_{x\to\:0}(\cos^{2}(2x))
integral de-cos((npix)/2)	\int\:-\cos(\frac{nπx}{2})dx
integral de sin(8t)	\int\:\sin(8t)dt
tangent f(x)=(e^x)/(1+e^x),\at x=1	tangent\:f(x)=\frac{e^{x}}{1+e^{x}},\at\:x=1
(dy)/(dx)=7xe^y	\frac{dy}{dx}=7xe^{y}
derivative f(x)=2x^6(x^4-2x)	derivative\:f(x)=2x^{6}(x^{4}-2x)
integral de 2 a infinity de 1/(5x^2)	\int\:_{2}^{\infty\:}\frac{1}{5x^{2}}dx
taylor 1/(1-x),4	taylor\:\frac{1}{1-x},4
límite cuando x tiende a 0 de 6x^2	\lim\:_{x\to\:0}(6x^{2})
(x^2+1)y^'+5xy=5x,y(0)=6	(x^{2}+1)y^{\prime\:}+5xy=5x,y(0)=6
(dy)/(dx)=4+sqrt(y-4x+6)	\frac{dy}{dx}=4+\sqrt{y-4x+6}
derivada de sqrt(2x^2)	\frac{d}{dx}(\sqrt{2x^{2}})
integral de sec(x)*tan^2(x)	\int\:\sec(x)\cdot\:\tan^{2}(x)dx
derivative 3xe^{-2x}	derivative\:3xe^{-2x}
derivative G(r)=sqrt(r)+\sqrt[7]{r}	derivative\:G(r)=\sqrt{r}+\sqrt[7]{r}
derivative x*sqrt(x)	derivative\:x\cdot\:\sqrt{x}
integral de sqrt(5+8x)	\int\:\sqrt{5+8x}dx
3x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6	3x-8y\sqrt{x^{2}+1}\frac{dy}{dx}=0,y(0)=6
integral de (x-3)/(x^2+4x+8)	\int\:\frac{x-3}{x^{2}+4x+8}dx
integral de 0 a 1 de e^{3x}	\int\:_{0}^{1}e^{3x}dx
integral de e^xcos(8x)	\int\:e^{x}\cos(8x)dx
integral de (29)/(x^3-125)	\int\:\frac{29}{x^{3}-125}dx
integral de 2 a 4 de 1/(xsqrt(x^2-4))	\int\:_{2}^{4}\frac{1}{x\sqrt{x^{2}-4}}dx
derivada de (-2/(x^3))	\frac{d}{dx}(\frac{-2}{x^{3}})
serie de n=1 a infinity de (2^n)/(100)	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{100}
integral de x^2cos(x+1)	\int\:x^{2}\cos(x+1)dx
(\partial)/(\partial y)(-ysin(xy))	\frac{\partial\:}{\partial\:y}(-y\sin(xy))
integral de cos(2ax)	\int\:\cos(2ax)dx
derivada de (5x^2+e^6)	\frac{d}{dx}((5x^{2}+e)^{6})
serie de n=3 a infinity de x^n	\sum\:_{n=3}^{\infty\:}x^{n}
derivada de 6/x+x/6	\frac{d}{dx}(\frac{6}{x}+\frac{x}{6})
integral de 10csc^2(x)	\int\:10\csc^{2}(x)dx
derivada de sqrt(16(x+2^3))	\frac{d}{dx}(\sqrt{16(x+2)^{3}})
derivada de 2^{(x/(20)})	\frac{d}{dx}(2^{(\frac{x}{20})})
(1-y/(x^2)e^{y/x})dx+(1+1/x e^{y/x})dy=0	(1-\frac{y}{x^{2}}e^{\frac{y}{x}})dx+(1+\frac{1}{x}e^{\frac{y}{x}})dy=0
(d^2)/(dx^2)((6x^2+4)^6)	\frac{d^{2}}{dx^{2}}((6x^{2}+4)^{6})
límite cuando x tiende a infinity de-e^{-x}	\lim\:_{x\to\:\infty\:}(-e^{-x})
integral de (1+x+sqrt(x))/(x^2)	\int\:\frac{1+x+\sqrt{x}}{x^{2}}dx
derivative ln(x/2)	derivative\:\ln(\frac{x}{2})
integral de 3x^2-5x+2	\int\:3x^{2}-5x+2dx
derivada de (cos(x)/(x^2+tan(x)))	\frac{d}{dx}(\frac{\cos(x)}{x^{2}+\tan(x)})
límite cuando x tiende a 7+de 8/(7-x)	\lim\:_{x\to\:7+}(\frac{8}{7-x})
y^'+y= 1/((cos(2x))^{3/2)}	y^{\prime\:}+y=\frac{1}{(\cos(2x))^{\frac{3}{2}}}
integral de x/(sqrt(7-x^2))	\int\:\frac{x}{\sqrt{7-x^{2}}}dx
tangent f(x)=e^x(-4+7x+4x^2),\at x=0	tangent\:f(x)=e^{x}(-4+7x+4x^{2}),\at\:x=0
límite cuando x tiende a a de ln(x-a)	\lim\:_{x\to\:a}(\ln(x-a))
taylor 1/(sqrt(x)),1	taylor\:\frac{1}{\sqrt{x}},1
tangent f(x)=x^2-x,\at x=2	tangent\:f(x)=x^{2}-x,\at\:x=2
serie de n=1 a infinity de 2/(n(n+2))	\sum\:_{n=1}^{\infty\:}\frac{2}{n(n+2)}
integral de (sin(x))/(cos^7(x))	\int\:\frac{\sin(x)}{\cos^{7}(x)}dx
derivative 3x^2e^x+e^x(x^3+1)	derivative\:3x^{2}e^{x}+e^{x}(x^{3}+1)
integral de-\sqrt[4]{x}	\int\:-\sqrt[4]{x}dx
(dy)/(dx)=(y(-2x+4))/((x^2+1)(x-1)^2)	\frac{dy}{dx}=\frac{y(-2x+4)}{(x^{2}+1)(x-1)^{2}}
derivative 3arccos(x/2)	derivative\:3\arccos(\frac{x}{2})
integral de ((x-2)(x+3))/(x^2)	\int\:\frac{(x-2)(x+3)}{x^{2}}dx
derivada de 7sqrt(2)cos(x)	\frac{d}{dx}(7\sqrt{2}\cos(x))
extreme f(w)= w/(w+d/w)	extreme\:f(w)=\frac{w}{w+\frac{d}{w}}
integral de x/(\sqrt[3]{x+2)}	\int\:\frac{x}{\sqrt[3]{x+2}}dx
(\partial)/(\partial x)(x^3+4x^2y+2y^3)	\frac{\partial\:}{\partial\:x}(x^{3}+4x^{2}y+2y^{3})
tangent f(x)= 2/(x-1),(3,1)	tangent\:f(x)=\frac{2}{x-1},(3,1)
d/(dy)(1/3 sqrt(y)(y-3))	\frac{d}{dy}(\frac{1}{3}\sqrt{y}(y-3))
derivada de x^{ln(x^2+1})	\frac{d}{dx}(x^{\ln(x^{2}+1)})
(d^2)/(dx^2)(e^{sin(x)})	\frac{d^{2}}{dx^{2}}(e^{\sin(x)})
derivada de (sin(y)x^2)	\frac{d}{dx}((\sin(y))x^{2})

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