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Problemas populares

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Problemas populares de Cálculo

integral de (16x^2)/(16x^2+25)	\int\:\frac{16x^{2}}{16x^{2}+25}dx
integral de (x^2+4x-1)/(x^3-x)	\int\:\frac{x^{2}+4x-1}{x^{3}-x}dx
f(x)=arctan(sqrt((1-x)/(1+x)))	f(x)=\arctan(\sqrt{\frac{1-x}{1+x}})
derivative (sqrt(x))/(7+x)	derivative\:\frac{\sqrt{x}}{7+x}
derivada de e^{(x+ln(x)})	\frac{d}{dx}(e^{(x+\ln(x))})
área y=sin(x),y=sin(2x),x=0,x= pi/3	area\:y=\sin(x),y=\sin(2x),x=0,x=\frac{π}{3}
derivada de 1-ln(cos(x))	\frac{d}{dx}(1-\ln(\cos(x)))
derivative f(x)=(x^2-4)/(x-3)	derivative\:f(x)=\frac{x^{2}-4}{x-3}
límite cuando x tiende a-infinity de a^x	\lim\:_{x\to\:-\infty\:}(a^{x})
integral de y^2ln(y)	\int\:y^{2}\ln(y)dy
integral de (x+1)/(x^2-x+1)	\int\:\frac{x+1}{x^{2}-x+1}dx
límite cuando x tiende a 0 de sqrt(x)+x	\lim\:_{x\to\:0}(\sqrt{x}+x)
integral de 9tan^2(x)sec^3(x)	\int\:9\tan^{2}(x)\sec^{3}(x)dx
área 4/x ,16x, 1/16 x	area\:\frac{4}{x},16x,\frac{1}{16}x
derivada de-16x^2+16x+320	\frac{d}{dx}(-16x^{2}+16x+320)
derivada de-25cos(5x)	\frac{d}{dx}(-25\cos(5x))
derivada de 2xe^{5x}	\frac{d}{dx}(2xe^{5x})
derivative 8x^9	derivative\:8x^{9}
integral de-1 a 1 de (1-\|x\|)	\int\:_{-1}^{1}(1-\left\|x\right\|)dx
derivada de 3x+4x^2	\frac{d}{dx}(3x+4x^{2})
(\partial)/(\partial x)(4x^3-36x)	\frac{\partial\:}{\partial\:x}(4x^{3}-36x)
integral de (3sec(x)tan(x)+4sec^2(x))	\int\:(3\sec(x)\tan(x)+4\sec^{2}(x))dx
integral de 3x(4x-1)^5	\int\:3x(4x-1)^{5}dx
integral de 7sin^3(x)cos^7(x)	\int\:7\sin^{3}(x)\cos^{7}(x)dx
derivative f(x)=3sec(x)-8x	derivative\:f(x)=3\sec(x)-8x
laplacetransformación cos(3t)	laplacetransform\:\cos(3t)
derivada de 7ln(sec(x+tan(x)))	\frac{d}{dx}(7\ln(\sec(x)+\tan(x)))
xy^'+y=26sqrt(x)	xy^{\prime\:}+y=26\sqrt{x}
tangent y=2x^3-6x^2+5x+1,(2,3)	tangent\:y=2x^{3}-6x^{2}+5x+1,(2,3)
h^'=-h	h^{\prime\:}=-h
derivada de 4/3	\frac{d}{dx}(\frac{4}{3})
derivada de sin^3(xcos(x))	\frac{d}{dx}(\sin^{3}(x)\cos(x))
pendiente (7-4)(73)	slope\:(7-4)(73)
límite cuando x tiende a-5+de (x-3)/(x+5)	\lim\:_{x\to\:-5+}(\frac{x-3}{x+5})
derivative (1+3x)(6-5x)	derivative\:(1+3x)(6-5x)
derivative y=(10)/(x^3)	derivative\:y=\frac{10}{x^{3}}
(4xy^2+4y)dx+(4x^2y+4x)dy=0	(4xy^{2}+4y)dx+(4x^{2}y+4x)dy=0
raíces acos(t)	roots\:a\cos(t)
integral de cos^2(x)*sin(x)	\int\:\cos^{2}(x)\cdot\:\sin(x)dx
(\partial)/(\partial x)(2z^{10})	\frac{\partial\:}{\partial\:x}(2z^{10})
derivative f(x)= 1/(5x-7)	derivative\:f(x)=\frac{1}{5x-7}
derivada de sqrt(x^2-4x-3)	\frac{d}{dx}(\sqrt{x^{2}-4x-3})
derivative (x^2+2x)/((x+1)^2)	derivative\:\frac{x^{2}+2x}{(x+1)^{2}}
(\partial)/(\partial h)(2pir^2+2pirh)	\frac{\partial\:}{\partial\:h}(2πr^{2}+2πrh)
área f(x)=x^5+2,g(x)=x+2	area\:f(x)=x^{5}+2,g(x)=x+2
derivative y=e^xln(x)	derivative\:y=e^{x}\ln(x)
(\partial)/(\partial x)(20-2x+1.5-y+3a)	\frac{\partial\:}{\partial\:x}(20-2x+1.5-y+3a)
límite cuando x tiende a-infinity de x*e^{1/x}	\lim\:_{x\to\:-\infty\:}(x\cdot\:e^{\frac{1}{x}})
integral de sqrt(4t^2+1)	\int\:\sqrt{4t^{2}+1}dt
límite cuando x tiende a 0 de-\|x-2\|+3	\lim\:_{x\to\:0}(-\left\|x-2\right\|+3)
(\partial)/(\partial x)((x+y)/(x*y))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{x\cdot\:y})
derivada de log_{3}(4x)	\frac{d}{dx}(\log_{3}(4x))
d/(dθ)(8/(2+cot(θ)sin(θ)))	\frac{d}{dθ}(\frac{8}{2+\cot(θ)\sin(θ)})
integral de 1/(x(ln(x))^4)	\int\:\frac{1}{x(\ln(x))^{4}}dx
integral de (x-2)/((2x+1)(x+3))	\int\:\frac{x-2}{(2x+1)(x+3)}dx
derivative y=(7sqrt(x)+3)x^2	derivative\:y=(7\sqrt{x}+3)x^{2}
taylor cos(x)(pi/2)	taylor\:\cos(x)(\frac{π}{2})
derivada de 5ln\|x-e^x\|	\frac{d}{dx}(5\ln\left\|x-e^{x}\right\|)
límite cuando z tiende a 1 de z/(2i)	\lim\:_{z\to\:1}(\frac{z}{2i})
derivada de-(3x+1/(x^2))	\frac{d}{dx}(-\frac{3x+1}{x^{2}})
derivative 4(5-7x)^5	derivative\:4(5-7x)^{5}
tangent x*sin(pix)	tangent\:x\cdot\:\sin(πx)
integral de-3e^x	\int\:-3e^{x}dx
integral de (tan(x)+cot(x))^2	\int\:(\tan(x)+\cot(x))^{2}dx
integral de-5sin(3x)	\int\:-5\sin(3x)dx
(\partial)/(\partial y)(x^3+3xy^2)	\frac{\partial\:}{\partial\:y}(x^{3}+3xy^{2})
integral de ((x^2)/2+sin(x))	\int\:(\frac{x^{2}}{2}+\sin(x))dx
(\partial)/(\partial x)(e^{4xyz-9})	\frac{\partial\:}{\partial\:x}(e^{4xyz-9})
derivative (2x+6x^2)/((1+6x)^2)	derivative\:\frac{2x+6x^{2}}{(1+6x)^{2}}
tangent x^3+3x^2+x+3	tangent\:x^{3}+3x^{2}+x+3
integral de 0 a 2 de x^3-x	\int\:_{0}^{2}x^{3}-xdx
tangent x^3+x^2-x-3,\at x=-2	tangent\:x^{3}+x^{2}-x-3,\at\:x=-2
integral de 7xe^{-x}	\int\:7xe^{-x}dx
límite cuando x tiende a 2 de 1	\lim\:_{x\to\:2}(1)
4(ln(y))y^'-x^9y=0	4(\ln(y))y^{\prime\:}-x^{9}y=0
(\partial)/(\partial s)(te^{st})	\frac{\partial\:}{\partial\:s}(te^{st})
integral de (t^3)(e^{-2t})	\int\:(t^{3})(e^{-2t})dt
(dy)/(dx)=x^2-y-2	\frac{dy}{dx}=x^{2}-y-2
área 2x, 2/x ,x=3	area\:2x,\frac{2}{x},x=3
(\partial)/(\partial y)(4cos(x^2+y^2))	\frac{\partial\:}{\partial\:y}(4\cos(x^{2}+y^{2}))
límite cuando x tiende a 0 de (ln(1+5x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+5x)}{x})
y^'-y/x =0	y^{\prime\:}-\frac{y}{x}=0
integral de (4x+3)*(2x^2+3x)^3	\int\:(4x+3)\cdot\:(2x^{2}+3x)^{3}dx
integral de ((x^3))/(sqrt(x^2+64))	\int\:\frac{(x^{3})}{\sqrt{x^{2}+64}}dx
derivada de (3x+2(x-1)^3)	\frac{d}{dx}((3x+2)(x-1)^{3})
tangent y=x^3-2x+1,(3,22)	tangent\:y=x^{3}-2x+1,(3,22)
taylor (-3x+14)^{4/3},2	taylor\:(-3x+14)^{\frac{4}{3}},2
(\partial)/(\partial x)(x^5+x^2y+x+1)	\frac{\partial\:}{\partial\:x}(x^{5}+x^{2}y+x+1)
integral de (13)/((t^2+1)^{3/2)}	\int\:\frac{13}{(t^{2}+1)^{\frac{3}{2}}}dt
(x^2+1)(dy)/(dx)=x(y^2+1)	(x^{2}+1)\frac{dy}{dx}=x(y^{2}+1)
área x^2-6x-7,-x^2+2x+3	area\:x^{2}-6x-7,-x^{2}+2x+3
integral de 5sin^5(x)cos(x)	\int\:5\sin^{5}(x)\cos(x)dx
límite cuando x tiende a-1+de 8x^2+5m	\lim\:_{x\to\:-1+}(8x^{2}+5m)
serie de n=1 a infinity}(-1)^{n+1 de 2/(3^n)	\sum\:_{n=1}^{\infty\:}(-1)^{n+1}\frac{2}{3^{n}}
límite cuando x tiende a 6 de 8	\lim\:_{x\to\:6}(8)
d/(dθ)(cos(2θ))	\frac{d}{dθ}(\cos(2θ))
integral de (5cos^2(x)-3tan(x))/(cos(x))	\int\:\frac{5\cos^{2}(x)-3\tan(x)}{\cos(x)}dx
derivada de cosh(e^x)	\frac{d}{dx}(\cosh(e^{x}))
(dy)/(dx)+3y=70	\frac{dy}{dx}+3y=70
integral de 1 a infinity de 8/(x^2+1)	\int\:_{1}^{\infty\:}\frac{8}{x^{2}+1}dx

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