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Problemas populares Cálculo

derivada de x(x^2+x+1^3)	\frac{d}{dx}(x(x^{2}+x+1)^{3})
integral de sqrt(t^2+t)	\int\:\sqrt{t^{2}+t}dt
integral de x-2y	\int\:x-2y
inverselaplace-1/(s(s-1)(2s+1)(s+2))	inverselaplace\:-\frac{1}{s(s-1)(2s+1)(s+2)}
integral de 0 a 7 de 2pix(7x-x^2)	\int\:_{0}^{7}2πx(7x-x^{2})dx
3(dy)/(dx)+5y=1	3\frac{dy}{dx}+5y=1
derivative f(x)= 3/(\sqrt[4]{x^3)}	derivative\:f(x)=\frac{3}{\sqrt[4]{x^{3}}}
2y^'=e^{x/2}+y	2y^{\prime\:}=e^{\frac{x}{2}}+y
integral de 3^{2-x}	\int\:3^{2-x}dx
integral de 8/3 a 4 de 3t-8	\int\:_{\frac{8}{3}}^{4}3t-8dt
derivada de ln((ax+1/(ax-1)))	\frac{d}{dx}(\ln(\frac{ax+1}{ax-1}))
derivative f(x)=3x+3/x	derivative\:f(x)=3x+\frac{3}{x}
derivada de (e^x/(1-x))	\frac{d}{dx}(\frac{e^{x}}{1-x})
derivative f(x)=(x-2/x)	derivative\:f(x)=(x-\frac{2}{x})
derivada de ((e^x)/(1+x^2))	\frac{d}{dx}(\frac{(e^{x})}{1+x^{2}})
serie de n=1 a infinity de ln(n)	\sum\:_{n=1}^{\infty\:}\ln(n)
límite cuando x tiende a b de 7(-7)	\lim\:_{x\to\:b}(7(-7))
(dx)/(dt)= 1/(xe^{t+2x)}	\frac{dx}{dt}=\frac{1}{xe^{t+2x}}
límite cuando a tiende a 0 de ln(a)	\lim\:_{a\to\:0}(\ln(a))
serie de n=1 a infinity de (9n^7)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{9n^{7}}{n!}
(dx)/(dt)=-(x^2-x),x(0)=2	\frac{dx}{dt}=-(x^{2}-x),x(0)=2
integral de 0 a 3 de \|2x-3\|	\int\:_{0}^{3}\left\|2x-3\right\|dx
y^{''}-y^'-6y=0,y(0)=2,y^'(0)=2	y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=2,y^{\prime\:}(0)=2
integral de 1 a 3 de (2x^2-2x+3)	\int\:_{1}^{3}(2x^{2}-2x+3)dx
integral de sin((npix)/l)	\int\:\sin(\frac{nπx}{l})dx
integral de 0 a 3y-5 de xy^2	\int\:_{0}^{3y-5}xy^{2}dx
integral de e^{-y^2}	\int\:e^{-y^{2}}dy
tangent y= 2/x ,(-3,-2/3)	tangent\:y=\frac{2}{x},(-3,-\frac{2}{3})
y^'y^{''}=2	y^{\prime\:}y^{\prime\:\prime\:}=2
laplacetransform e^{-2t}(3t)^2	laplacetransform\:e^{-2t}(3t)^{2}
derivada de (f(x(3x))^2+5)	\frac{d}{dx}((f(x)(3x))^{2}+5)
límite cuando x tiende a 2 de 5x^2-3x+1	\lim\:_{x\to\:2}(5x^{2}-3x+1)
derivada de ln(xsqrt(4x-1))	\frac{d}{dx}(\ln(x\sqrt{4x-1}))
límite cuando x tiende a+0 de (sin^2(x))/x	\lim\:_{x\to\:+0}(\frac{\sin^{2}(x)}{x})
integral de 3 a 5 de e^x	\int\:_{3}^{5}e^{x}dx
área y=-2sqrt(x),y=2sqrt(x),x=0,x=16	area\:y=-2\sqrt{x},y=2\sqrt{x},x=0,x=16
tangent f(x)=8x^2+3x	tangent\:f(x)=8x^{2}+3x
(\partial)/(\partial x)(2y-1/x+cos(3x))	\frac{\partial\:}{\partial\:x}(2y-\frac{1}{x}+\cos(3x))
integral de x^3sqrt(x^4+9)	\int\:x^{3}\sqrt{x^{4}+9}dx
(\partial)/(\partial y)(2xy^2-3)	\frac{\partial\:}{\partial\:y}(2xy^{2}-3)
límite cuando x tiende a 1 de (x+4)/(x+2)	\lim\:_{x\to\:1}(\frac{x+4}{x+2})
derivada de sqrt(4+\sqrt{3x)}	\frac{d}{dx}(\sqrt{4+\sqrt{3x}})
límite cuando x tiende a infinity de 1-2x	\lim\:_{x\to\:\infty\:}(1-2x)
derivada de e^xx+e^x	\frac{d}{dx}(e^{x}x+e^{x})
(dy)/(dx)=((3x^2+4x-4))/(2y-4)	\frac{dy}{dx}=\frac{(3x^{2}+4x-4)}{2y-4}
derivative 2tan(θ)	derivative\:2\tan(θ)
(d^2)/(dx^2)(3-x^2)	\frac{d^{2}}{dx^{2}}(3-x^{2})
derivada de (x-1^5)	\frac{d}{dx}((x-1)^{5})
integral de arctan(x)+C	\int\:\arctan(x)+Cdx
y^'+2xy+xy^4=0	y^{\prime\:}+2xy+xy^{4}=0
taylor 8/(3x+2),5	taylor\:\frac{8}{3x+2},5
integral de 1/(sqrt(t^2-4t+20))	\int\:\frac{1}{\sqrt{t^{2}-4t+20}}dt
derivada de (ln(e^x)/x)	\frac{d}{dx}(\frac{\ln(e^{x})}{x})
integral de 6x^2+3	\int\:6x^{2}+3dx
(\partial)/(\partial x)(6x+y)	\frac{\partial\:}{\partial\:x}(6x+y)
integral de x^2+1	\int\:x^{2}+1dx
derivada de (6x+4x^2/((3+4x)^2))	\frac{d}{dx}(\frac{6x+4x^{2}}{(3+4x)^{2}})
y^'+5e^{x+y}=0	y^{\prime\:}+5e^{x+y}=0
derivative f(x)=(sqrt(x))/(4+x)	derivative\:f(x)=\frac{\sqrt{x}}{4+x}
integral de 1/((x+1)(x^2+1))	\int\:\frac{1}{(x+1)(x^{2}+1)}dx
integral de x^3sqrt(x^2-9)	\int\:x^{3}\sqrt{x^{2}-9}dx
(dy)/(dx)=2^{x-y},y(-3)=-5	\frac{dy}{dx}=2^{x-y},y(-3)=-5
integral de (4x+8)/((x+5)^2)	\int\:\frac{4x+8}{(x+5)^{2}}dx
derivative 1/(4x^{3/4)}	derivative\:\frac{1}{4x^{\frac{3}{4}}}
pendiente (-7.4)(-4.1)	slope\:(-7.4)(-4.1)
tangent-sin(x)	tangent\:-\sin(x)
inverselaplace (2/(2s+1))-(1/s)	inverselaplace\:(\frac{2}{2s+1})-(\frac{1}{s})
(y^2+xy)dx-x^2dy=0	(y^{2}+xy)dx-x^{2}dy=0
integral de (1/t)	\int\:(\frac{1}{t})dt
límite cuando x tiende a infinity de x*(-2)	\lim\:_{x\to\:\infty\:}(x\cdot\:(-2))
derivada de 5sin(5x)	\frac{d}{dx}(5\sin(5x))
límite cuando x tiende a 5 de (sqrt(x+4-3))/(x-5)	\lim\:_{x\to\:5}(\frac{\sqrt{x+4-3}}{x-5})
integral de x^3-4x^2-x+4	\int\:x^{3}-4x^{2}-x+4dx
derivada de 4sin(tan(2x+1))	\frac{d}{dx}(4\sin(\tan(2x+1)))
integral de x*(x+5)^4	\int\:x\cdot\:(x+5)^{4}dx
integral de (3x^2+1)^36x	\int\:(3x^{2}+1)^{3}6xdx
integral de (a^2)/(xsqrt(x^2-a^2))	\int\:\frac{a^{2}}{x\sqrt{x^{2}-a^{2}}}dx
integral de (3x-2)e^{3x}	\int\:(3x-2)e^{3x}dx
área x^6,[0,1]	area\:x^{6},[0,1]
integral de x/(sqrt(x+23))	\int\:\frac{x}{\sqrt{x+23}}dx
integral de (sin(x))^2(cos(x))^4	\int\:(\sin(x))^{2}(\cos(x))^{4}dx
-y^'-y=e^x	-y^{\prime\:}-y=e^{x}
serie de n=1 a infinity de-1	\sum\:_{n=1}^{\infty\:}-1
(dy)/(dx)=y+2	\frac{dy}{dx}=y+2
f(x)=4sin(2x)-3cos(3x)	f(x)=4\sin(2x)-3\cos(3x)
integral de 1/5 a 7 de 14xln(5x)	\int\:_{\frac{1}{5}}^{7}14x\ln(5x)dx
integral de 4sin(2x)-3cos(6x)	\int\:4\sin(2x)-3\cos(6x)dx
integral de 0 a pi/3 de 49sin^2(x)	\int\:_{0}^{\frac{π}{3}}49\sin^{2}(x)dx
integral de (x^3-1)/((2x^4-8x)^{3/2)}	\int\:\frac{x^{3}-1}{(2x^{4}-8x)^{\frac{3}{2}}}dx
derivada de 2cos(x+cos^2(x))	\frac{d}{dx}(2\cos(x)+\cos^{2}(x))
(\partial)/(\partial x)((c^2-x^2)/(2x))	\frac{\partial\:}{\partial\:x}(\frac{c^{2}-x^{2}}{2x})
integral de 1/((x^2+25)^{5/2)}	\int\:\frac{1}{(x^{2}+25)^{\frac{5}{2}}}dx
f(t)=e^{tan(pit)}	f(t)=e^{\tan(πt)}
derivative y=(6x^2+2x+6)/(sqrt(x))	derivative\:y=\frac{6x^{2}+2x+6}{\sqrt{x}}
(dy)/(dx)-2xy=10x	\frac{dy}{dx}-2xy=10x
(\partial)/(\partial x)(3xy)	\frac{\partial\:}{\partial\:x}(3xy)
integral de cos(4x)cos(6x)	\int\:\cos(4x)\cos(6x)dx
integral de 1/((x^2+R^2)^{3/2)}	\int\:\frac{1}{(x^{2}+R^{2})^{\frac{3}{2}}}dx
2y+xy^'=0	2y+xy^{\prime\:}=0
derivada de 2/(x^3-3/(x^2))	\frac{d}{dx}(\frac{2}{x^{3}}-\frac{3}{x^{2}})

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