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Problemas populares

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Problemas populares de Cálculo

(\partial}{\partial s}(\frac{(r+s))/t)	\frac{\partial\:}{\partial\:s}(\frac{(r+s)}{t})
tangent y=7ln((e^x+e^{-x})/2),(0,0)	tangent\:y=7\ln(\frac{e^{x}+e^{-x}}{2}),(0,0)
derivada de (x^2-2x+2e^x)	\frac{d}{dx}((x^{2}-2x+2)e^{x})
integral de 15sqrt(x)+3/(sqrt(x))	\int\:15\sqrt{x}+\frac{3}{\sqrt{x}}dx
derivative y=x^2+2x+1	derivative\:y=x^{2}+2x+1
x(dy)/(dx)=y^2+1	x\frac{dy}{dx}=y^{2}+1
integral de (1/(4+x^2))	\int\:(\frac{1}{4+x^{2}})dx
((x^2)/(x^2-x-2))^'	(\frac{x^{2}}{x^{2}-x-2})^{\prime\:}
inversalaplace (2s-3)/((s+4)(s-3)^3)	inverselaplace\:\frac{2s-3}{(s+4)(s-3)^{3}}
integral de (15x^4)/(x^5+7)	\int\:\frac{15x^{4}}{x^{5}+7}dx
(\partial)/(\partial x)(-2ysin(x))	\frac{\partial\:}{\partial\:x}(-2y\sin(x))
integral de (sin(20t))/(sin(10t))	\int\:\frac{\sin(20t)}{\sin(10t)}dx
integral de (3t+8)^{2.8}	\int\:(3t+8)^{2.8}dt
integral de 3x^5-5x^9	\int\:3x^{5}-5x^{9}dx
dy=2t(y^2+9)dt	dy=2t(y^{2}+9)dt
serie de n=1 a infinity de 1/(n^{4/3)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{4}{3}}}
(\partial)/(\partial x)(3x+6y)	\frac{\partial\:}{\partial\:x}(3x+6y)
límite cuando x tiende a 0-de 3/(x^2)	\lim\:_{x\to\:0-}(\frac{3}{x^{2}})
área y=x^2,y=x+2,y=0	area\:y=x^{2},y=x+2,y=0
integral de (x+3)/(x^2+9)	\int\:\frac{x+3}{x^{2}+9}dx
derivative 6sqrt(t)-4t^3+9	derivative\:6\sqrt{t}-4t^{3}+9
integral de (16x^3)/(sqrt(4-x^2))	\int\:\frac{16x^{3}}{\sqrt{4-x^{2}}}dx
integral de-x+4	\int\:-x+4dx
derivative xsqrt(2x+1)	derivative\:x\sqrt{2x+1}
(x+y)^2dx+(2xy+x^2-4)dy=0,y(1)=1	(x+y)^{2}dx+(2xy+x^{2}-4)dy=0,y(1)=1
integral de xsin(3)x^2	\int\:x\sin(3)x^{2}dx
y^'-4y=0	y^{\prime\:}-4y=0
integral de xcos(8x)	\int\:x\cos(8x)dx
integral de cos((npix)/1)	\int\:\cos(\frac{nπx}{1})dx
límite cuando x tiende a 4-de (5x)/(x^2-4x)	\lim\:_{x\to\:4-}(\frac{5x}{x^{2}-4x})
integral de (15)/(1-cos(5x))	\int\:\frac{15}{1-\cos(5x)}dx
serie de n=1 a infinity de (7n)/(6n+1)	\sum\:_{n=1}^{\infty\:}\frac{7n}{6n+1}
derivative 6x^5	derivative\:6x^{5}
integral de (sec(θ)tan(θ))/(sec^2(θ)-sec(θ))	\int\:\frac{\sec(θ)\tan(θ)}{\sec^{2}(θ)-\sec(θ)}dθ
integral de (a+x-x^2)	\int\:(a+x-x^{2})dx
integral de 7x^{2/5}+8x^{-4/5}	\int\:7x^{\frac{2}{5}}+8x^{-\frac{4}{5}}dx
(\partial)/(\partial x)(((2x-y))/(5x+3y))	\frac{\partial\:}{\partial\:x}(\frac{(2x-y)}{5x+3y})
x^2y^{''}+xy^'-y=ln(x)	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=\ln(x)
integral de x/(1-2x^2)	\int\:\frac{x}{1-2x^{2}}dx
derivada de 1/(1+24e^{-0.28x})	\frac{d}{dx}(\frac{1}{1+24e^{-0.28x}})
integral de 2 a 4 de x^2	\int\:_{2}^{4}x^{2}dx
integral de 1 a 4 de (3x^3+x+1)	\int\:_{1}^{4}(3x^{3}+x+1)dx
derivada de 3/(8x^{5/2})	\frac{d}{dx}(\frac{3}{8x^{\frac{5}{2}}})
y^{''}+25y=3sec(5t)	y^{\prime\:\prime\:}+25y=3\sec(5t)
(\partial)/(\partial y)(ln(1+xy)-z)	\frac{\partial\:}{\partial\:y}(\ln(1+xy)-z)
(\partial)/(\partial θ)(ρcos(φ))	\frac{\partial\:}{\partial\:θ}(ρ\cos(φ))
límite cuando x tiende a 5 de 2x-3x+4	\lim\:_{x\to\:5}(2x-3x+4)
integral de (y^2+38y+361)/((y^2+361)^2)	\int\:\frac{y^{2}+38y+361}{(y^{2}+361)^{2}}dy
límite cuando x tiende a 0-de 8+7/x	\lim\:_{x\to\:0-}(8+\frac{7}{x})
integral de (3r^2)/(r+9)	\int\:\frac{3r^{2}}{r+9}dr
integral de (9x^8-8/(x^8))	\int\:(9x^{8}-\frac{8}{x^{8}})dx
límite cuando x tiende a 2 de 2x^2-2x	\lim\:_{x\to\:2}(2x^{2}-2x)
integral de x^2cot(x^3)	\int\:x^{2}\cot(x^{3})dx
(\partial)/(\partial x)((3x)/(4y))	\frac{\partial\:}{\partial\:x}(\frac{3x}{4y})
tangent 3x+5/x	tangent\:3x+\frac{5}{x}
derivada de 2^{tan(4x})	\frac{d}{dx}(2^{\tan(4x)})
(dy)/(dx)=y^2-4	\frac{dy}{dx}=y^{2}-4
derivada de-x/((1-x^2^{3/2)})	\frac{d}{dx}(-\frac{x}{(1-x^{2})^{\frac{3}{2}}})
tangent f(x)=x^2-1,(-1,0)	tangent\:f(x)=x^{2}-1,(-1,0)
integral de 0 a pi de 8cos^4(x)sin(x)	\int\:_{0}^{π}8\cos^{4}(x)\sin(x)dx
integral de 3x^2+1	\int\:3x^{2}+1dx
derivada de 3/(\sqrt[3]{x^4})	\frac{d}{dx}(\frac{3}{\sqrt[3]{x^{4}}})
derivada de x/(sqrt(x^2+1)-1)	\frac{d}{dx}(\frac{x}{\sqrt{x^{2}+1}}-1)
(dy)/(dx)=(x^2y-y)/(y+1)	\frac{dy}{dx}=\frac{x^{2}y-y}{y+1}
integral de 1/18 x	\int\:\frac{1}{18}xdx
derivada de-4x^3-sin(x)	\frac{d}{dx}(-4x^{3}-\sin(x))
límite cuando x tiende a 1 de \|x+1\|	\lim\:_{x\to\:1}(\left\|x+1\right\|)
integral de ((e^{-1/x}))/(x^2)	\int\:\frac{(e^{-\frac{1}{x}})}{x^{2}}dx
integral de (cos(x))/((sin(x)-1)^2)	\int\:\frac{\cos(x)}{(\sin(x)-1)^{2}}dx
(\partial)/(\partial x)(x^2+y^2(1-x)^3)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}(1-x)^{3})
(\partial)/(\partial x)(x/(1-x))	\frac{\partial\:}{\partial\:x}(\frac{x}{1-x})
integral de (3x-4)/((x-2)(x^2+1))	\int\:\frac{3x-4}{(x-2)(x^{2}+1)}dx
integral de (x^2-16)/(x-4)	\int\:\frac{x^{2}-16}{x-4}dx
integral de 1/(5-y)	\int\:\frac{1}{5-y}dy
integral de (6x^3+4x^2-46x-30)/(x^2-9)	\int\:\frac{6x^{3}+4x^{2}-46x-30}{x^{2}-9}dx
integral de 0 a infinity de e^{-2x+1}	\int\:_{0}^{\infty\:}e^{-2x+1}dx
(dv)/(dt)+(5.4)/(59)*v=-9.81	\frac{dv}{dt}+\frac{5.4}{59}\cdot\:v=-9.81
64y^{''}-16y^'+y=0	64y^{\prime\:\prime\:}-16y^{\prime\:}+y=0
integral de-1 a 4 de 3x-(x^2-4)	\int\:_{-1}^{4}3x-(x^{2}-4)dx
tangent f(x)=-x^3,\at x=1	tangent\:f(x)=-x^{3},\at\:x=1
integral de 9x^4(x^5+2)^8	\int\:9x^{4}(x^{5}+2)^{8}dx
derivative-2e^{-x^2}	derivative\:-2e^{-x^{2}}
derivative y=(csc(4x))/(ln(x))	derivative\:y=\frac{\csc(4x)}{\ln(x)}
x^2(d^2y)/(dx^2)+4x(dy)/(dx)+2y=8x	x^{2}\frac{d^{2}y}{dx^{2}}+4x\frac{dy}{dx}+2y=8x
tangent y=x^2-8	tangent\:y=x^{2}-8
integral de-infinity a 1 de xe^{2x}	\int\:_{-\infty\:}^{1}xe^{2x}dx
integral de sqrt(x^2-a^2)	\int\:\sqrt{x^{2}-a^{2}}dx
inversalaplace-1/(4s)	inverselaplace\:-\frac{1}{4s}
derivative f(x)=x^{pi^2}+(pi^2)^x	derivative\:f(x)=x^{π^{2}}+(π^{2})^{x}
serie de n=1 a infinity de ln(1/(1+1))	\sum\:_{n=1}^{\infty\:}\ln(\frac{1}{1+1})
(\partial)/(\partial y)(-xy^2+xy)	\frac{\partial\:}{\partial\:y}(-xy^{2}+xy)
(\partial)/(\partial x)(x^3ln(y^2))	\frac{\partial\:}{\partial\:x}(x^{3}\ln(y^{2}))
límite cuando x tiende a 3+de 4x-a+b	\lim\:_{x\to\:3+}(4x-a+b)
área \|x\|,5-\|x\|	area\:\left\|x\right\|,5-\left\|x\right\|
inversalaplace ((72))/((4800+88s))	inverselaplace\:\frac{(72)}{(4800+88s)}
serie de n=4 a infinity de 1/(2^n)	\sum\:_{n=4}^{\infty\:}\frac{1}{2^{n}}
integral de 1 a 6 de (x^2+2)/(7x-x^2)	\int\:_{1}^{6}\frac{x^{2}+2}{7x-x^{2}}dx
integral de 1/(sec(θ))	\int\:\frac{1}{\sec(θ)}dθ
x+x(y^')2-1=0	x+x(y^{\prime\:})2-1=0
y^{''}+2y^'=3	y^{\prime\:\prime\:}+2y^{\prime\:}=3

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