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Problemas populares

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Problemas populares Cálculo

integral de 1/(4\sqrt[4]{x^3)}	\int\:\frac{1}{4\sqrt[4]{x^{3}}}dx
derivada de ((x^2+7/(x^2-7))^3)	\frac{d}{dx}((\frac{x^{2}+7}{x^{2}-7})^{3})
implicit (dy)/(dx),x+y=5	implicit\:\frac{dy}{dx},x+y=5
(\partial)/(\partial x)(x/2)	\frac{\partial\:}{\partial\:x}(\frac{x}{2})
inverselaplace (s+1)/((s^2+1)^2)	inverselaplace\:\frac{s+1}{(s^{2}+1)^{2}}
integral de 0 a pi/4 de 5cos^5(2x)	\int\:_{0}^{\frac{π}{4}}5\cos^{5}(2x)dx
(\partial)/(\partial x)((xy)/(x+y+z))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x+y+z})
integral de ((1+ln(x))^2)/x	\int\:\frac{(1+\ln(x))^{2}}{x}dx
límite cuando x tiende a 1 de x/(\|x\|-1)	\lim\:_{x\to\:1}(\frac{x}{\left\|x\right\|-1})
0.1y^'-0.1y=0	0.1y^{\prime\:}-0.1y=0
tangent f(x)=sin(x^2)	tangent\:f(x)=\sin(x^{2})
integral de 1 a 2 de (x^6+4x^8)/(x^5)	\int\:_{1}^{2}\frac{x^{6}+4x^{8}}{x^{5}}dx
integral de x^2+6x+2	\int\:x^{2}+6x+2dx
(\partial)/(\partial x)(sqrt(\sqrt{x+1)+1})	\frac{\partial\:}{\partial\:x}(\sqrt{\sqrt{x+1}+1})
(\partial)/(\partial x)(x^2y^2z)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}z)
derivative (2x^2-1)^{-1}	derivative\:(2x^{2}-1)^{-1}
integral de-2 a 2 de sqrt(1+100x^2)	\int\:_{-2}^{2}\sqrt{1+100x^{2}}dx
f(x)=-cot(x)	f(x)=-\cot(x)
integral de (3x^3+6x^2-12x+5)	\int\:(3x^{3}+6x^{2}-12x+5)dx
derivative f(x)=t^5sin(t)	derivative\:f(x)=t^{5}\sin(t)
integral de 0 a 1 de sqrt(1+144x)	\int\:_{0}^{1}\sqrt{1+144x}dx
derivative t^2sqrt(t)	derivative\:t^{2}\sqrt{t}
límite cuando x tiende a 0+de sqrt(x)ln(x)	\lim\:_{x\to\:0+}(\sqrt{x}\ln(x))
límite cuando x tiende a 3-de 8/(x-3)	\lim\:_{x\to\:3-}(\frac{8}{x-3})
x((dy)/(dx))-y=3x^2	x(\frac{dy}{dx})-y=3x^{2}
derivada de sqrt(4-x^2-4y^2)	\frac{d}{dx}(\sqrt{4-x^{2}-4y^{2}})
derivada de arctan(cos(x))	\frac{d}{dx}(\arctan(\cos(x)))
integral de 0 a 4 de \|3t-8\|	\int\:_{0}^{4}\left\|3t-8\right\|dt
derivative f(x)=(4x^2-x+3)/(sqrt(x))	derivative\:f(x)=\frac{4x^{2}-x+3}{\sqrt{x}}
integral de (e^{-st})/(-s)	\int\:\frac{e^{-st}}{-s}dt
integral de (e^{cos(x)}sin(x))	\int\:(e^{\cos(x)}\sin(x))dx
derivada de cos^{sin(x}(x))	\frac{d}{dx}(\cos^{\sin(x)}(x))
derivada de sin(x^2+3x)	\frac{d}{dx}(\sin(x^{2}+3x))
(\partial)/(\partial x)((2x-3y)/(2x+3y))	\frac{\partial\:}{\partial\:x}(\frac{2x-3y}{2x+3y})
integral de (arcsin(6x))/(sqrt(1-36x^2))	\int\:\frac{\arcsin(6x)}{\sqrt{1-36x^{2}}}dx
derivative y=x^{1/x}	derivative\:y=x^{\frac{1}{x}}
(\partial)/(\partial x)((2x)/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:x}(\frac{2x}{x^{2}+y^{2}+z^{2}})
límite cuando x tiende a+0 de ((1+x)^4-1)/x	\lim\:_{x\to\:+0}(\frac{(1+x)^{4}-1}{x})
(\partial)/(\partial y)(xy+yz+zx)	\frac{\partial\:}{\partial\:y}(xy+yz+zx)
límite cuando x tiende a 5 de (f(x))/(g(x))	\lim\:_{x\to\:5}(\frac{f(x)}{g(x)})
integral de 0 a 2 de 6-x^2	\int\:_{0}^{2}6-x^{2}dx
(\partial)/(\partial y)(sqrt(2x+3y))	\frac{\partial\:}{\partial\:y}(\sqrt{2x+3y})
área y=4sqrt(x),y=(4x)/3	area\:y=4\sqrt{x},y=\frac{4x}{3}
(\partial)/(\partial x)(cos(6x))	\frac{\partial\:}{\partial\:x}(\cos(6x))
derivada de \|x^3+8x^2+5x-50\|	\frac{d}{dx}(\left\|x^{3}+8x^{2}+5x-50\right\|)
integral de 1/(2+8x)	\int\:\frac{1}{2+8x}dx
integral de sec(13w)tan(13w)	\int\:\sec(13w)\tan(13w)dw
integral de 0 a pi/4 de tan^3(x)	\int\:_{0}^{\frac{π}{4}}\tan^{3}(x)dx
laplacetransform sin(4t)cos(3t)	laplacetransform\:\sin(4t)\cos(3t)
integral de 10x-3	\int\:10x-3dx
área y= 1/x ,y=x,y= x/4	area\:y=\frac{1}{x},y=x,y=\frac{x}{4}
derivative f(x)= 8/(x^3)	derivative\:f(x)=\frac{8}{x^{3}}
inverselaplace 5/(s^2(s+2))	inverselaplace\:\frac{5}{s^{2}(s+2)}
integral de 0 a 1 de xcos((npix)/2)	\int\:_{0}^{1}x\cos(\frac{nπx}{2})dx
inverselaplace 1/((5*s+1))	inverselaplace\:\frac{1}{(5\cdot\:s+1)}
integral de (x^4+2sqrt(x)-16)	\int\:(x^{4}+2\sqrt{x}-16)dx
derivada de a(1-cos(x))	\frac{d}{dx}(a(1-\cos(x)))
(\partial)/(\partial x)(e^{2y^2}+4x^2)	\frac{\partial\:}{\partial\:x}(e^{2y^{2}}+4x^{2})
integral de-2xcos(3x)	\int\:-2x\cos(3x)dx
integral de x^2(2-x)	\int\:x^{2}(2-x)dx
derivative y^{-1}	derivative\:y^{-1}
(\partial)/(\partial y)(1/(y^2))	\frac{\partial\:}{\partial\:y}(\frac{1}{y^{2}})
derivative x^{-3}	derivative\:x^{-3}
integral de 4/(x^2+4)	\int\:\frac{4}{x^{2}+4}dx
integral de ((csc^2(x))/(cot^3(x)))	\int\:(\frac{\csc^{2}(x)}{\cot^{3}(x)})dx
(dQ)/(dt)=k(Q-70)	\frac{dQ}{dt}=k(Q-70)
derivada de-3/2 x^3+2/5 x^2-4	\frac{d}{dx}(-\frac{3}{2}x^{3}+\frac{2}{5}x^{2}-4)
integral de 50x^3sqrt(1-25x^2)	\int\:50x^{3}\sqrt{1-25x^{2}}dx
límite cuando x tiende a-2 de (-3)/(2-x)	\lim\:_{x\to\:-2}(\frac{-3}{2-x})
(\partial)/(\partial x)(log_{5}(x))	\frac{\partial\:}{\partial\:x}(\log_{5}(x))
derivative ln(sqrt((2x+1)/(x^2-3)))	derivative\:\ln(\sqrt{\frac{2x+1}{x^{2}-3}})
derivative g(x)=sqrt(5-x)	derivative\:g(x)=\sqrt{5-x}
integral de 1/2 x^2ln(x)-1/2 x^2ln(2x)	\int\:\frac{1}{2}x^{2}\ln(x)-\frac{1}{2}x^{2}\ln(2x)dx
integral de ln(-x)	\int\:\ln(-x)dx
límite cuando x tiende a 0+de ln(x)x	\lim\:_{x\to\:0+}(\ln(x)x)
integral de (x/(1-x^2))	\int\:(\frac{x}{1-x^{2}})dx
derivada de sec(x-1)	\frac{d}{dx}(\sec(x)-1)
integral de 2/(x^2+2)	\int\:\frac{2}{x^{2}+2}dx
f(x)=cos(x)e^x	f(x)=\cos(x)e^{x}
integral de x/(1+x^3)	\int\:\frac{x}{1+x^{3}}dx
derivada de 3+3cos(x^3-4sin(x^3))	\frac{d}{dx}(3+3\cos(x^{3})-4\sin(x^{3}))
derivada de arctan(sqrt(x/a))	\frac{d}{dx}(\arctan(\sqrt{\frac{x}{a}}))
derivada de-1/2 e^{-x/2}	\frac{d}{dx}(-\frac{1}{2}e^{-\frac{x}{2}})
integral de (x^2-3x+11)/((x^2-4x+10)^2)	\int\:\frac{x^{2}-3x+11}{(x^{2}-4x+10)^{2}}dx
derivative f(x)=(x^3)/(4-x^2)	derivative\:f(x)=\frac{x^{3}}{4-x^{2}}
integral de sqrt(1+u^2)	\int\:\sqrt{1+u^{2}}du
integral de 0 a 4 de x^3sqrt(x^2+16)	\int\:_{0}^{4}x^{3}\sqrt{x^{2}+16}dx
derivada de 3x^2+2x+1	\frac{d}{dx}(3x^{2}+2x+1)
t^2y^'+ty=5	t^{2}y^{\prime\:}+ty=5
laplacetransform xsin(3x)	laplacetransform\:x\sin(3x)
derivada de 1/(e^x+1)	\frac{d}{dx}(\frac{1}{e^{x}+1})
taylor x*ln(x)	taylor\:x\cdot\:\ln(x)
integral de (x+1)/(x^3)	\int\:\frac{x+1}{x^{3}}dx
derivada de xe^{8x}	\frac{d}{dx}(xe^{8x})
serie de n=0 a infinity de 4^{2n+1}	\sum\:_{n=0}^{\infty\:}4^{2n+1}
(\partial)/(\partial x)(\|x-y\|)	\frac{\partial\:}{\partial\:x}(\left\|x-y\right\|)
derivada de ln^4(((x^2-1^3)/(x^2-1)))	\frac{d}{dx}(\ln^{4}(\frac{(x^{2}-1)^{3}}{x^{2}-1}))
integral de sin(x)sin(cos(x))	\int\:\sin(x)\sin(\cos(x))dx
tangent f(x)=5-x^2,\at x=-1	tangent\:f(x)=5-x^{2},\at\:x=-1
integral de 1/(x^6-x^3)	\int\:\frac{1}{x^{6}-x^{3}}dx

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