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Problemas populares de Cálculo

(4y+8t^2)dy+(16yt-3)dt=0	(4y+8t^{2})dy+(16yt-3)dt=0
(\partial)/(\partial x)(x^2sin(4y))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(4y))
integral de xcos^2(x)	\int\:x\cos^{2}(x)dx
(\partial)/(\partial x)(-sin(xy)y)	\frac{\partial\:}{\partial\:x}(-\sin(xy)y)
y^'-xy^2=2xy	y^{\prime\:}-xy^{2}=2xy
(\partial)/(\partial y)(y^2+x^2)	\frac{\partial\:}{\partial\:y}(y^{2}+x^{2})
integral de x^2sin(9x)	\int\:x^{2}\sin(9x)dx
integral de (x^2+1)/(3x^2-x-2)	\int\:\frac{x^{2}+1}{3x^{2}-x-2}dx
límite cuando t tiende a 0+de t(ln(t))^2	\lim\:_{t\to\:0+}(t(\ln(t))^{2})
(\partial)/(\partial x)(x^3+3x^2y)	\frac{\partial\:}{\partial\:x}(x^{3}+3x^{2}y)
x^2(dy)/(dx)=4x^2+7xy+2y^2	x^{2}\frac{dy}{dx}=4x^{2}+7xy+2y^{2}
tangent f(x)=sqrt(x+2),\at x=7	tangent\:f(x)=\sqrt{x+2},\at\:x=7
integral de 0 a 0.2 de 600x	\int\:_{0}^{0.2}600xdx
-y^{''}+49y=0	-y^{\prime\:\prime\:}+49y=0
integral de sin^2(t)	\int\:\sin^{2}(t)dt
inversalaplace 3/(s^2-49)	inverselaplace\:\frac{3}{s^{2}-49}
(d^2)/(dx^2)(xsqrt(4-x^2))	\frac{d^{2}}{dx^{2}}(x\sqrt{4-x^{2}})
implicit (dy)/(dx),y=11x	implicit\:\frac{dy}{dx},y=11x
2x^2y+x^3y^'=1	2x^{2}y+x^{3}y^{\prime\:}=1
integral de (16)/(64+(2pix)^2)	\int\:\frac{16}{64+(2πx)^{2}}dx
y^'(x^2+1)+3xy=6x	y^{\prime\:}(x^{2}+1)+3xy=6x
derivative 3cos^2(x)	derivative\:3\cos^{2}(x)
derivada de 2sin(x+cos(x))	\frac{d}{dx}(2\sin(x)+\cos(x))
(x-2)^'	(x-2)^{\prime\:}
laplacetransformación 25t	laplacetransform\:25t
integral de 0 a 1/4 de 4arcsin(4y)	\int\:_{0}^{\frac{1}{4}}4\arcsin(4y)dy
integral de (sin(2)x^2)^2xcos(2)x^2	\int\:(\sin(2)x^{2})^{2}x\cos(2)x^{2}dx
(dy)/(dx)+y^3x+3y=0	\frac{dy}{dx}+y^{3}x+3y=0
(te^t)^'	(te^{t})^{\prime\:}
integral de 5x^3(ln(x)-2)	\int\:5x^{3}(\ln(x)-2)dx
límite cuando x tiende a infinity de (30)/(1+x^{10)}	\lim\:_{x\to\:\infty\:}(\frac{30}{1+x^{10}})
integral de (cos(2x)-1)/(cos(2x)+1)	\int\:\frac{\cos(2x)-1}{\cos(2x)+1}dx
integral de cos(2pix)	\int\:\cos(2πx)dx
derivada de (x^5-9x^2)	\frac{d}{dx}((x^{5}-9x)^{2})
derivative f(x)=4x^3-5x+1	derivative\:f(x)=4x^{3}-5x+1
(\partial)/(\partial z)(2xy+z^2)	\frac{\partial\:}{\partial\:z}(2xy+z^{2})
(\partial)/(\partial y)(yx^2)	\frac{\partial\:}{\partial\:y}(yx^{2})
integral de x(x-2021)	\int\:x(x-2021)dx
derivada de 3sin(x+3xcos(x))	\frac{d}{dx}(3\sin(x)+3x\cos(x))
(\partial)/(\partial x)(sin(pi)x)	\frac{\partial\:}{\partial\:x}(\sin(π)x)
derivative (m+2)/(m^2+5m+6)	derivative\:\frac{m+2}{m^{2}+5m+6}
(\partial}{\partial z}(\frac{(x-y))/z)	\frac{\partial\:}{\partial\:z}(\frac{(x-y)}{z})
integral de (3t^2-4t+5)	\int\:(3t^{2}-4t+5)dt
integral de sin^4(x)cos^2(x	\int\:\sin^{4}(x)\cos^{2}(d)xdx
(\partial)/(\partial y)((1+xy)^{3/2})	\frac{\partial\:}{\partial\:y}((1+xy)^{\frac{3}{2}})
integral de (cos(x))/(cos^2(x))	\int\:\frac{\cos(x)}{\cos^{2}(x)}dx
taylor arctan(x^3)	taylor\:\arctan(x^{3})
derivative y=(x^3+3x^2-5x+2)/3	derivative\:y=\frac{x^{3}+3x^{2}-5x+2}{3}
y^'-8y^3=0	y^{\prime\:}-8y^{3}=0
integral de 1/(sqrt(2x-1)-\sqrt[4]{2x-1)}	\int\:\frac{1}{\sqrt{2x-1}-\sqrt[4]{2x-1}}dx
integral de x^{1.1}(1/(3x)-1)	\int\:x^{1.1}(\frac{1}{3x}-1)dx
implicit x^2+y^2=25	implicit\:x^{2}+y^{2}=25
integral de 1 a 2 de x(x-1)^9	\int\:_{1}^{2}x(x-1)^{9}dx
límite cuando h tiende a 1-de (h-2)/(1-h)	\lim\:_{h\to\:1-}(\frac{h-2}{1-h})
integral de tan(6x)sec^2(6x)	\int\:\tan(6x)\sec^{2}(6x)dx
y^'+5y=t+e^{-4t}	y^{\prime\:}+5y=t+e^{-4t}
maclaurin arctan(5x)	maclaurin\:\arctan(5x)
d/(dt)(-2e^{-t^2}t)	\frac{d}{dt}(-2e^{-t^{2}}t)
integral de 2/((x-2)(x^2+4))	\int\:\frac{2}{(x-2)(x^{2}+4)}dx
integral de cos^2(z)sin^4(z)	\int\:\cos^{2}(z)\sin^{4}(z)dz
integral de (x/5)^2	\int\:(\frac{x}{5})^{2}dx
derivada de-3cos(x+2sin(x))	\frac{d}{dx}(-3\cos(x)+2\sin(x))
(dy)/(dt)=y(1-y)	\frac{dy}{dt}=y(1-y)
d/(dt)(2sqrt(t))	\frac{d}{dt}(2\sqrt{t})
integral de 1 a 3 de 4x^4ln(x)	\int\:_{1}^{3}4x^{4}\ln(x)dx
derivada de sqrt(x)-2x	\frac{d}{dx}(\sqrt{x}-2x)
integral de (1/x-4/(9x^2+1))	\int\:(\frac{1}{x}-\frac{4}{9x^{2}+1})dx
tangent f(x)= 3/(2x+1),\at x=4	tangent\:f(x)=\frac{3}{2x+1},\at\:x=4
integral de-pi a pi de xe^{sin(x^2)}	\int\:_{-π}^{π}xe^{\sin(x^{2})}dx
derivada de 4x^2-2x+1	\frac{d}{dx}(4x^{2}-2x+1)
integral de x^2-4cos(x)+8	\int\:x^{2}-4\cos(x)+8dx
integral de 0 a pi/6 de cos^3(6x)	\int\:_{0}^{\frac{π}{6}}\cos^{3}(6x)dx
integral de (-4x^4+5sin(x))	\int\:(-4x^{4}+5\sin(x))dx
(\partial)/(\partial x)(100e^{(2x+3y)})	\frac{\partial\:}{\partial\:x}(100e^{(2x+3y)})
integral de e^xsqrt(6+e^x)	\int\:e^{x}\sqrt{6+e^{x}}dx
(1/2 \sqrt[3]{x})^'	(\frac{1}{2}\sqrt[3]{x})^{\prime\:}
integral de (50)/(w^2sqrt(25-w^2))	\int\:\frac{50}{w^{2}\sqrt{25-w^{2}}}dw
integral de 4x+1	\int\:4x+1dx
integral de θtan^2(θ)	\int\:θ\tan^{2}(θ)dθ
derivative 2^x+x^2e^{x^2}	derivative\:2^{x}+x^{2}e^{x^{2}}
integral de 64e^{-8x}sin(8x)	\int\:64e^{-8x}\sin(8x)dx
derivada de sqrt(ln(x+x))	\frac{d}{dx}(\sqrt{\ln(x)+x})
derivada de-2x+y	\frac{d}{dx}(-2x+y)
integral de u+1	\int\:u+1du
y=sec(1+\sqrt[3]{4+arcsin(4+pi^2)})	y=\sec(1+\sqrt[3]{4+\arcsin(4+π^{2})})
10(t+1)(dy)/(dt)-9y=9t	10(t+1)\frac{dy}{dt}-9y=9t
límite cuando x tiende a 0 de (-cos(x)+1)/x	\lim\:_{x\to\:0}(\frac{-\cos(x)+1}{x})
derivada de (x-5/((x-3)(x-1)))	\frac{d}{dx}(\frac{x-5}{(x-3)(x-1)})
límite cuando x tiende a 0 de xsin(9/x)	\lim\:_{x\to\:0}(x\sin(\frac{9}{x}))
integral de sin^5(x/3)cos(x/3)	\int\:\sin^{5}(\frac{x}{3})\cos(\frac{x}{3})dx
(\partial)/(\partial x)(zcos(yx))	\frac{\partial\:}{\partial\:x}(z\cos(yx))
integral de-3 a 1 de (x^2+2x-3)	\int\:_{-3}^{1}(x^{2}+2x-3)dx
derivative f(x)=x^2(1-3x)	derivative\:f(x)=x^{2}(1-3x)
derivative e^θ	derivative\:e^{θ}
taylor y=ln(1+x)	taylor\:y=\ln(1+x)
integral de (48x^2)/((x-18)(x+6)^2)	\int\:\frac{48x^{2}}{(x-18)(x+6)^{2}}dx
integral de-2sin(t)	\int\:-2\sin(t)dt
d/(d{r)}(pi{r}^2h)	\frac{d}{d{r}}(π{r}^{2}h)
derivative y=ln(1/(xsqrt(x-10)))	derivative\:y=\ln(\frac{1}{x\sqrt{x-10}})
serie de n=1 a infinity de 6(-0.2)^{3n}	\sum\:_{n=1}^{\infty\:}6(-0.2)^{3n}

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