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Problemas populares Cálculo

(\partial)/(\partial x)(sqrt(16-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{16-x^{2}})
derivative f(x)=(cos(x))/(2+sin(x))	derivative\:f(x)=\frac{\cos(x)}{2+\sin(x)}
derivative f(x)= x/(x^2+7x+6)	derivative\:f(x)=\frac{x}{x^{2}+7x+6}
laplacetransform 3+t	laplacetransform\:3+t
derivative y=sqrt(x^2+4)	derivative\:y=\sqrt{x^{2}+4}
(dy)/(dx)=(x-3)e^{(-2y)}	\frac{dy}{dx}=(x-3)e^{(-2y)}
derivada de (e^{3x}sin(2x)/(5^x))	\frac{d}{dx}(\frac{e^{3x}\sin(2x)}{5^{x}})
integral de (cot(x))/(1-sin(x))	\int\:\frac{\cot(x)}{1-\sin(x)}dx
-4t^2y^{''}+5ty^'-2y=0	-4t^{2}y^{\prime\:\prime\:}+5ty^{\prime\:}-2y=0
integral de 1/(x*ln(x^6))	\int\:\frac{1}{x\cdot\:\ln(x^{6})}dx
integral de csc(v)	\int\:\csc(v)dv
derivative y=sin^3(x)	derivative\:y=\sin^{3}(x)
(\partial)/(\partial x)(b/(2b-k^2-1-2k*x))	\frac{\partial\:}{\partial\:x}(\frac{b}{2b-k^{2}-1-2k\cdot\:x})
integral de 2sin^2(xco)s^2x	\int\:2\sin^{2}(xco)s^{2}xdx
y^'=([xy^2+(y)e^x])/(e^x)	y^{\prime\:}=\frac{[xy^{2}+(y)e^{x}]}{e^{x}}
derivada de x/(x^{-1+10})	\frac{d}{dx}(\frac{x}{x^{-1}+10})
integral de 2sqrt(x-1)	\int\:2\sqrt{x-1}dx
integral de t^3e^{-3t}	\int\:t^{3}e^{-3t}dt
integral de (3x+x/((x^2+2)^{4/3)})	\int\:(3x+\frac{x}{(x^{2}+2)^{\frac{4}{3}}})dx
límite cuando x tiende a 0+de 3sin(x)ln(x)	\lim\:_{x\to\:0+}(3\sin(x)\ln(x))
t^2(dx)/(dt)=2tx+1	t^{2}\frac{dx}{dt}=2tx+1
integral de 1/(x^2(1+1/x)^3)	\int\:\frac{1}{x^{2}(1+\frac{1}{x})^{3}}dx
integral de 0 a 1 de 5x^4e^{-x}	\int\:_{0}^{1}5x^{4}e^{-x}dx
integral de 4/(x^2-14x+49)	\int\:\frac{4}{x^{2}-14x+49}dx
(\partial)/(\partial x)(cos^2(5x))	\frac{\partial\:}{\partial\:x}(\cos^{2}(5x))
5y^{''}+y^'=-6x,y(0)=0,y^'(0)=-20	5y^{\prime\:\prime\:}+y^{\prime\:}=-6x,y(0)=0,y^{\prime\:}(0)=-20
tangent f(x)=6tan(x),\at x= pi/3	tangent\:f(x)=6\tan(x),\at\:x=\frac{π}{3}
integral de sin^3(2x)cos^8(2x)	\int\:\sin^{3}(2x)\cos^{8}(2x)dx
(\partial)/(\partial x)(x^3y^4)	\frac{\partial\:}{\partial\:x}(x^{3}y^{4})
derivative (sqrt(x)-4)/(sqrt(x)+4)	derivative\:\frac{\sqrt{x}-4}{\sqrt{x}+4}
tangent sqrt(x+2)	tangent\:\sqrt{x+2}
límite cuando x tiende a-2+de sqrt(-x-2)+4	\lim\:_{x\to\:-2+}(\sqrt{-x-2}+4)
(\partial)/(\partial x)(sqrt(3-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{3-x^{2}-y^{2}})
derivada de x*sqrt(x^2-1)	\frac{d}{dx}(x\cdot\:\sqrt{x^{2}-1})
derivada de 1/(log_{10(x)})	\frac{d}{dx}(\frac{1}{\log_{10}(x)})
(\partial)/(\partial y)(4x^3y^3-1)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}-1)
integral de (4+x+x^2)/(sqrt(x))	\int\:\frac{4+x+x^{2}}{\sqrt{x}}dx
y^'=-y/(100),y(0)=80	y^{\prime\:}=-\frac{y}{100},y(0)=80
derivada de 2/(cos(x))	\frac{d}{dx}(\frac{2}{\cos(x)})
derivada de 10^x+10x	\frac{d}{dx}(10^{x}+10x)
integral de pi/2 a pi de sin(2x)	\int\:_{\frac{π}{2}}^{π}\sin(2x)dx
taylor (sin(x)-x)/(x^2)	taylor\:\frac{\sin(x)-x}{x^{2}}
límite cuando x tiende a 0 de sin(1/(\|x\|))	\lim\:_{x\to\:0}(\sin(\frac{1}{\left\|x\right\|}))
derivative (3x^2)/4	derivative\:\frac{3x^{2}}{4}
derivada de 2+1/(x^2)	\frac{d}{dx}(2+\frac{1}{x^{2}})
(\partial)/(\partial x)(3x^2+2y)	\frac{\partial\:}{\partial\:x}(3x^{2}+2y)
integral de (cos^2(x))	\int\:(\cos^{2}(x))dx
integral de (2^x)	\int\:(2^{x})dx
límite cuando x tiende a 7-de 4x	\lim\:_{x\to\:7-}(4x)
(d^2)/(dx^2)((x^2)/(3+x))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}}{3+x})
área sqrt(x+2),x,-2,2	area\:\sqrt{x+2},x,-2,2
derivada de (ln(x)/(1-x))	\frac{d}{dx}(\frac{\ln(x)}{1-x})
y^'=2+3y^2	y^{\prime\:}=2+3y^{2}
derivada de (x/(x+1)^{2016})	\frac{d}{dx}((\frac{x}{x+1})^{2016})
integral de 1/(P-Z)+1/Z	\int\:\frac{1}{P-Z}+\frac{1}{Z}dZ
serie de n=1 a infinity de (3n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{3n}{n!}
integral de csc^3(x)*sec(x)	\int\:\csc^{3}(x)\cdot\:\sec(x)dx
integral de (x^2+ax-3)^2	\int\:(x^{2}+ax-3)^{2}dx
integral de 0 a 1 de 2x^2-1	\int\:_{0}^{1}2x^{2}-1dx
(d^2)/(dx^2)((x+1)e^x)	\frac{d^{2}}{dx^{2}}((x+1)e^{x})
serie de n=1 a infinity de sin(pin)	\sum\:_{n=1}^{\infty\:}\sin(πn)
d/(dz)(i/(2i)ln((i+iz)/(i-iz)))	\frac{d}{dz}(\frac{i}{2i}\ln(\frac{i+iz}{i-iz}))
derivada de csc^4(tan(e^{2x}))	\frac{d}{dx}(\csc^{4}(\tan(e^{2x})))
derivative y=2x^3+3x^2-12x+1	derivative\:y=2x^{3}+3x^{2}-12x+1
(\partial)/(\partial x)(ln(3x-2y))	\frac{\partial\:}{\partial\:x}(\ln(3x-2y))
integral de cos(3-5x)	\int\:\cos(3-5x)dx
derivada de x*e^y	\frac{d}{dx}(x\cdot\:e^{y})
integral de ((x+2))/(x^2+4)	\int\:\frac{(x+2)}{x^{2}+4}dx
-4x^2y+y^'=-10x^2	-4x^{2}y+y^{\prime\:}=-10x^{2}
f(x)=(e^x)/x	f(x)=\frac{e^{x}}{x}
derivative 8t	derivative\:8t
(d^2)/(dx^2)(sqrt(x+7))	\frac{d^{2}}{dx^{2}}(\sqrt{x+7})
integral de x^2(x^3+1)^2	\int\:x^{2}(x^{3}+1)^{2}dx
g(x)= 5/(6x^3)	g(x)=\frac{5}{6x^{3}}
simplificar x^{2-3x}x^2	simplify\:x^{2-3x}x^{2}
integral de 1 a 3 de (x^2+6)/(4x-x^2)	\int\:_{1}^{3}\frac{x^{2}+6}{4x-x^{2}}dx
integral de (4+t+t^2)/(sqrt(t))	\int\:\frac{4+t+t^{2}}{\sqrt{t}}dt
tangent y= 1/(x-2),\at x=6	tangent\:y=\frac{1}{x-2},\at\:x=6
integral de e^5	\int\:e^{5}dx
derivada de (2x^3-4x^2*(3x^5+x^2))	\frac{d}{dx}((2x^{3}-4x^{2})\cdot\:(3x^{5}+x^{2}))
límite cuando x tiende a i de (z+i)/(z-i)	\lim\:_{x\to\:i}(\frac{z+i}{z-i})
derivative f(x)=-2x^2+8	derivative\:f(x)=-2x^{2}+8
integral de (ln(x)+4x)	\int\:(\ln(x)+4x)dx
integral de (x+3)sqrt(8-x)	\int\:(x+3)\sqrt{8-x}dx
derivative 2x+5/x	derivative\:2x+\frac{5}{x}
derivada de cos(x-cos^2(x))	\frac{d}{dx}(\cos(x)-\cos^{2}(x))
derivada de sqrt(x^3+3x^2)	\frac{d}{dx}(\sqrt{x^{3}+3x^{2}})
integral de 0 a 1 de (x^e+e^x)	\int\:_{0}^{1}(x^{e}+e^{x})dx
derivative x^{10}h(x)	derivative\:x^{10}h(x)
derivative f(x)=sec^2(x)-1	derivative\:f(x)=\sec^{2}(x)-1
integral de-16x^2	\int\:-16x^{2}dx
integral de t^2sin(t^3)	\int\:t^{2}\sin(t^{3})dt
integral de (x-1)^{10}(x+3)^2	\int\:(x-1)^{10}(x+3)^{2}dx
integral de (2^x)/(5^x)	\int\:\frac{2^{x}}{5^{x}}dx
derivada de 3/(sin(x+cos(x)))	\frac{d}{dx}(\frac{3}{\sin(x)+\cos(x)})
integral de (x^2)/(\sqrt[3]{1+x^3)}	\int\:\frac{x^{2}}{\sqrt[3]{1+x^{3}}}dx
límite cuando x tiende a 0 de cot(2x)	\lim\:_{x\to\:0}(\cot(2x))
integral de (x-5)sin(pix)	\int\:(x-5)\sin(πx)dx
(\partial}{\partial x}(-\frac{8x)/y)	\frac{\partial\:}{\partial\:x}(-\frac{8x}{y})
derivada de 1/(\sqrt[7]{x})	\frac{d}{dx}(\frac{1}{\sqrt[7]{x}})

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