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Problemas populares

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Problemas populares de Cálculo

integral de (x^2+8x-7)/(x-3)	\int\:\frac{x^{2}+8x-7}{x-3}dx
integral de cos^4(x)-sin^4(x)	\int\:\cos^{4}(x)-\sin^{4}(x)dx
integral de 4xe^{7x}	\int\:4xe^{7x}dx
integral de sec^2(4x)y	\int\:\sec^{2}(4x)ydx
integral de (8x^2)/((5x^3+2)^{3/5)}	\int\:\frac{8x^{2}}{(5x^{3}+2)^{\frac{3}{5}}}dx
derivative xe^{ax}	derivative\:xe^{ax}
integral de 64x^3(u)^3	\int\:64x^{3}(u)^{3}du
derivative 7(10x^5-2x+6)^{-3}	derivative\:7(10x^{5}-2x+6)^{-3}
(\partial)/(\partial s)(s-t)	\frac{\partial\:}{\partial\:s}(s-t)
d/(dy)((xy)/(x-y))	\frac{d}{dy}(\frac{xy}{x-y})
integral de (4cosh(5x))/(sinh^3(5x))	\int\:\frac{4\cosh(5x)}{\sinh^{3}(5x)}dx
tangent f(x)=3x^2-4x+5	tangent\:f(x)=3x^{2}-4x+5
derivada de ln(tanh(2x))	\frac{d}{dx}(\ln(\tanh(2x)))
y^{''}-3y^'-4y=10e^{-x}+4x+3	y^{\prime\:\prime\:}-3y^{\prime\:}-4y=10e^{-x}+4x+3
derivada de (5x-3(2x+5)^2)	\frac{d}{dx}((5x-3)(2x+5)^{2})
derivative (2x)/(9-tan(x))	derivative\:\frac{2x}{9-\tan(x)}
límite cuando x tiende a-4-de 1/(x+4)	\lim\:_{x\to\:-4-}(\frac{1}{x+4})
y^{''}-10y^'+25y=0,y(0)=1,y(1)=0	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=1,y(1)=0
integral de 2/(x^2-2)	\int\:\frac{2}{x^{2}-2}dx
taylor (((x-4)^7))/(e^x),4	taylor\:\frac{((x-4)^{7})}{e^{x}},4
derivative 1/(7x)	derivative\:\frac{1}{7x}
(\partial)/(\partial x)(sin(8pit+9x))	\frac{\partial\:}{\partial\:x}(\sin(8πt+9x))
(\partial)/(\partial x)(x^2+10xyz+y^2+8z^2)	\frac{\partial\:}{\partial\:x}(x^{2}+10xyz+y^{2}+8z^{2})
derivada de arctanh(cos(x))	\frac{d}{dx}(\arctanh(\cos(x)))
derivada de x-3y	\frac{d}{dx}(x-3y)
taylor e^{-2x^2}	taylor\:e^{-2x^{2}}
área x=-y^2+2,x=y^2-4	area\:x=-y^{2}+2,x=y^{2}-4
integral de-2 a 3 de (42)/(x^4)	\int\:_{-2}^{3}\frac{42}{x^{4}}dx
derivada de 8sqrt(x)-3/(sqrt(x))	\frac{d}{dx}(8\sqrt{x}-\frac{3}{\sqrt{x}})
d/(dt)(5^{2t})	\frac{d}{dt}(5^{2t})
derivada de ae^{2x}	\frac{d}{dx}(ae^{2x})
derivative 1/(x^5)+2/(x^9)	derivative\:\frac{1}{x^{5}}+\frac{2}{x^{9}}
(\partial)/(\partial x)(2/(8x+3y))	\frac{\partial\:}{\partial\:x}(\frac{2}{8x+3y})
derivada de-12x-6	\frac{d}{dx}(-12x-6)
integral de 1/(sqrt(x))-1/(e^{2x)}	\int\:\frac{1}{\sqrt{x}}-\frac{1}{e^{2x}}dx
derivada de \sqrt[3]{8+4x-x^3}	\frac{d}{dx}(\sqrt[3]{8+4x-x^{3}})
límite cuando x tiende a 0-de x^2csc(x)	\lim\:_{x\to\:0-}(x^{2}\csc(x))
derivative (3-x^2)/(8+x^2)	derivative\:\frac{3-x^{2}}{8+x^{2}}
límite cuando x tiende a 0 de sin(2x)csc(3x)	\lim\:_{x\to\:0}(\sin(2x)\csc(3x))
implicit (dp)/(dx),x^2+3px+p^2=79	implicit\:\frac{dp}{dx},x^{2}+3px+p^{2}=79
derivada de-9/((x+1^2)+1)	\frac{d}{dx}(-\frac{9}{(x+1)^{2}}+1)
integral de p(p+9)^6	\int\:p(p+9)^{6}dp
derivative f(x)= 1/3 (5-x)^4	derivative\:f(x)=\frac{1}{3}(5-x)^{4}
y^{''}-6y^'+8y=e^x(11-6x)	y^{\prime\:\prime\:}-6y^{\prime\:}+8y=e^{x}(11-6x)
inversalaplace (3s+5)/(s^2+4s+13)	inverselaplace\:\frac{3s+5}{s^{2}+4s+13}
integral de (e^x)/(sqrt(3+2e^x-e^{2x))}	\int\:\frac{e^{x}}{\sqrt{3+2e^{x}-e^{2x}}}dx
área y=9x^2-x^3+x,y=x^2+16x	area\:y=9x^{2}-x^{3}+x,y=x^{2}+16x
límite cuando x tiende a 3 de (x^2-1)/(x-1)	\lim\:_{x\to\:3}(\frac{x^{2}-1}{x-1})
derivada de e^x(x-7)	\frac{d}{dx}(e^{x}(x-7))
(\partial)/(\partial x)(y^3e^{(x^2)/(2y)})	\frac{\partial\:}{\partial\:x}(y^{3}e^{\frac{x^{2}}{2y}})
derivative (f(x))/(g(x))	derivative\:\frac{f(x)}{g(x)}
integral de e^{5x}sqrt(3e^{5x)+2}	\int\:e^{5x}\sqrt{3e^{5x}+2}dx
integral de (3x-1)/(4-ax)	\int\:\frac{3x-1}{4-ax}dx
(\partial)/(\partial y)(sin(nx)e^{-ny})	\frac{\partial\:}{\partial\:y}(\sin(nx)e^{-ny})
y^{''}+11y^'+18y=0	y^{\prime\:\prime\:}+11y^{\prime\:}+18y=0
integral de 1/(16sqrt(x)+16x)	\int\:\frac{1}{16\sqrt{x}+16x}dx
tangent y=xsqrt(x),\at x=16	tangent\:y=x\sqrt{x},\at\:x=16
límite cuando x tiende a 3 de 10-x	\lim\:_{x\to\:3}(10-x)
integral de-4e^{(-x/4)}	\int\:-4e^{(-\frac{x}{4})}dx
integral de x/(x(x-4))	\int\:\frac{x}{x(x-4)}dx
integral de 16sin(x)cos^2(x)	\int\:16\sin(x)\cos^{2}(x)dx
límite cuando x tiende a-3 de x^2	\lim\:_{x\to\:-3}(x^{2})
tangent f(x)=1+sqrt(4-x^2),\at x=0	tangent\:f(x)=1+\sqrt{4-x^{2}},\at\:x=0
integral de e^{4x}sin(3x)	\int\:e^{4x}\sin(3x)dx
límite cuando x tiende a 0+de 7/x-7\|x\|	\lim\:_{x\to\:0+}(\frac{7}{x}-7\left\|x\right\|)
taylor 1/(x-1),12	taylor\:\frac{1}{x-1},12
integral de (e^x)/(e^x+4)	\int\:\frac{e^{x}}{e^{x}+4}dx
área y=x^3,x=y^2	area\:y=x^{3},x=y^{2}
integral de ln(x/(x^2))	\int\:\ln(\frac{x}{x^{2}})dx
f(x)=(cos(x))/x	f(x)=\frac{\cos(x)}{x}
derivative-cos(3x)*3	derivative\:-\cos(3x)\cdot\:3
integral de 1/(ax^2+bx)	\int\:\frac{1}{ax^{2}+bx}dx
límite cuando x tiende a 5 de 8x+\|x-5\|	\lim\:_{x\to\:5}(8x+\left\|x-5\right\|)
derivative 2sin(pix)	derivative\:2\sin(πx)
integral de 0 a 2 de (x^4-5x^3+2x)	\int\:_{0}^{2}(x^{4}-5x^{3}+2x)dx
integral de (sin(2x))/(43+cos^2(x))	\int\:\frac{\sin(2x)}{43+\cos^{2}(x)}dx
y^'+4y=cos(x)	y^{\prime\:}+4y=\cos(x)
taylor ln(x/2),\at 2	taylor\:\ln(\frac{x}{2}),\at\:2
(dy)/(dx)=(5y)/(2x)	\frac{dy}{dx}=\frac{5y}{2x}
tangent 4x^5,\at (a=3)	tangent\:4x^{5},\at\:(a=3)
área 6x-18,[2,6]	area\:6x-18,[2,6]
derivada de \sqrt[4]{x^2}	\frac{d}{dx}(\sqrt[4]{x^{2}})
integral de-9csc^2(x)	\int\:-9\csc^{2}(x)dx
derivative g(x)=sqrt(11x)	derivative\:g(x)=\sqrt{11x}
derivative g(x)=sqrt(9-x^2)	derivative\:g(x)=\sqrt{9-x^{2}}
(\partial)/(\partial y)(5xye^{xz})	\frac{\partial\:}{\partial\:y}(5xye^{xz})
tangent f(x)=-4-x^2	tangent\:f(x)=-4-x^{2}
derivative f(x)=ln(3+x)	derivative\:f(x)=\ln(3+x)
y^'=y+1	y^{\prime\:}=y+1
integral de sqrt(3) a 3 de 1/(9+x^2)	\int\:_{\sqrt{3}}^{3}\frac{1}{9+x^{2}}dx
integral de-infinity a 0 de 1/(3-9x)	\int\:_{-\infty\:}^{0}\frac{1}{3-9x}dx
derivada de ({f}(x)^2)	\frac{d}{dx}(({f}(x))^{2})
d/(dy)(sqrt(1-2y))	\frac{d}{dy}(\sqrt{1-2y})
integral de (ln(x^2))/(2x)	\int\:\frac{\ln(x^{2})}{2x}dx
derivative y=3x^2+14x-5	derivative\:y=3x^{2}+14x-5
(dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50	\frac{dy}{dx}=\frac{1}{10}y-\frac{1}{5000}y^{2},y(0)=50
límite cuando x tiende a 0 de (2x)/(2x+7)	\lim\:_{x\to\:0}(\frac{2x}{2x+7})
derivada de (2sqrt(x)+1(x^2+3))	\frac{d}{dx}((2\sqrt{x}+1)(x^{2}+3))
derivative f(x)=(x-1)^3	derivative\:f(x)=(x-1)^{3}
límite cuando x tiende a-2 de (-x)/(x+2)	\lim\:_{x\to\:-2}(\frac{-x}{x+2})

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