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Problemas populares de Cálculo

(dy)/(dx)+y/x =3x^6y^2	\frac{dy}{dx}+\frac{y}{x}=3x^{6}y^{2}
límite cuando x tiende a 1+de 7	\lim\:_{x\to\:1+}(7)
(1-x^2)(dy)/(dx)-x^2y=(1+x)sqrt(1-x^2)	(1-x^{2})\frac{dy}{dx}-x^{2}y=(1+x)\sqrt{1-x^{2}}
derivative 7z^2e^z	derivative\:7z^{2}e^{z}
integral de (x+1)/(sqrt(x^2+2x+3))	\int\:\frac{x+1}{\sqrt{x^{2}+2x+3}}dx
(7x+5y)dx+(5x-8y3)dy=0	(7x+5y)dx+(5x-8y3)dy=0
tangent f(x)=x^4,\at x=3	tangent\:f(x)=x^{4},\at\:x=3
integral de sqrt(1+(x/2-4)^2)	\int\:\sqrt{1+(\frac{x}{2}-4)^{2}}dx
integral de 3+2cos(x)	\int\:3+2\cos(x)dx
límite cuando θ tiende a 0 de (sin(3θ))/θ	\lim\:_{θ\to\:0}(\frac{\sin(3θ)}{θ})
límite cuando x tiende a 3 de (x^2)/(x^2-9)	\lim\:_{x\to\:3}(\frac{x^{2}}{x^{2}-9})
área 4x+y^2=12,x=y	area\:4x+y^{2}=12,x=y
integral de (x^4+x^2-1)/(x-1)	\int\:\frac{x^{4}+x^{2}-1}{x-1}dx
inversalaplace ((s+2))/(s^2+2s+2)	inverselaplace\:\frac{(s+2)}{s^{2}+2s+2}
límite cuando x tiende a a de (ln(x)-ln(a))/(x-a)	\lim\:_{x\to\:a}(\frac{\ln(x)-\ln(a)}{x-a})
integral de ((sec(x))/(tan(x)))^4	\int\:(\frac{\sec(x)}{\tan(x)})^{4}dx
(dy)/(dx)=e^{4x-3y},y(0)=2	\frac{dy}{dx}=e^{4x-3y},y(0)=2
integral de (sin^5(x))/(sqrt(cos(x)))	\int\:\frac{\sin^{5}(x)}{\sqrt{\cos(x)}}dx
derivative y=sqrt(\sqrt{\sqrt{x)}}	derivative\:y=\sqrt{\sqrt{\sqrt{x}}}
(\partial)/(\partial s)(t^2-2s^2)	\frac{\partial\:}{\partial\:s}(t^{2}-2s^{2})
integral de 7t^8	\int\:7t^{8}dt
y^{''}+2y^'+2y=3cos(t)-sin(t)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=3\cos(t)-\sin(t)
integral de 1 a 3 de xe^{-x^2}	\int\:_{1}^{3}xe^{-x^{2}}dx
derivada de (x-3/(x^2+4))	\frac{d}{dx}(\frac{x-3}{x^{2}+4})
pendiente (0.2)(6.6)	slope\:(0.2)(6.6)
límite cuando x tiende a 3 de (x^2)/(9-x^2)	\lim\:_{x\to\:3}(\frac{x^{2}}{9-x^{2}})
derivada de ((e^x)/(x^2))	\frac{d}{dx}(\frac{(e^{x})}{x^{2}})
tangent 2/(x-1)	tangent\:\frac{2}{x-1}
integral de x^{-7/3}	\int\:x^{-\frac{7}{3}}dx
derivada de 625sin(5x)	\frac{d}{dx}(625\sin(5x))
integral de (32x^2)/((x-6)(x+2)^2)	\int\:\frac{32x^{2}}{(x-6)(x+2)^{2}}dx
integral de x^3sqrt(x^2+26)	\int\:x^{3}\sqrt{x^{2}+26}dx
inversalaplace 1/((s(s^2+0.4s+4)))	inverselaplace\:\frac{1}{(s(s^{2}+0.4s+4))}
integral de 1 a x de sqrt(1+9x)	\int\:_{1}^{x}\sqrt{1+9x}dx
(\partial)/(\partial x)(1+xln(xy-7))	\frac{\partial\:}{\partial\:x}(1+x\ln(xy-7))
(\partial ^2)/(\partial x\partial y)((1+2xy^2)^3)	\frac{\partial\:^{2}}{\partial\:x\partial\:y}((1+2xy^{2})^{3})
serie de n=1 a infinity de 4(2.1)^{n-1}	\sum\:_{n=1}^{\infty\:}4(2.1)^{n-1}
derivada de 3x^24^{-x}	\frac{d}{dx}(3x^{2}4^{-x})
t(dy)/(dt)=t^3+8t^3y	t\frac{dy}{dt}=t^{3}+8t^{3}y
integral de 9cos(θ)	\int\:9\cos(θ)dθ
derivada de-2x^2+7x+5	\frac{d}{dx}(-2x^{2}+7x+5)
serie de n=0 a infinity de ln(1+n)	\sum\:_{n=0}^{\infty\:}\ln(1+n)
(\partial)/(\partial y)(x^y-y^x)	\frac{\partial\:}{\partial\:y}(x^{y}-y^{x})
derivative y=(x^2-7x+7)e^{(9x)/7}	derivative\:y=(x^{2}-7x+7)e^{\frac{9x}{7}}
integral de 0 a infinity de cos(x)	\int\:_{0}^{\infty\:}\cos(x)dx
integral de (6x^2+8x+3)	\int\:(6x^{2}+8x+3)dx
y^'=8x^3e^{-2y}	y^{\prime\:}=8x^{3}e^{-2y}
derivada de-e^{-(x^2/2}x)	\frac{d}{dx}(-e^{-\frac{x^{2}}{2}}x)
inversalaplace ((2+s))/(s^2+2s+2)	inverselaplace\:\frac{(2+s)}{s^{2}+2s+2}
integral de 2/(sin^2(x))	\int\:\frac{2}{\sin^{2}(x)}dx
simplificar 5x^4-sqrt(x)-2/x	simplify\:5x^{4}-\sqrt{x}-\frac{2}{x}
inversalaplace S/(S^2+2S-3)	inverselaplace\:\frac{S}{S^{2}+2S-3}
taylor sin(x), pi/3	taylor\:\sin(x),\frac{π}{3}
límite cuando x tiende a 64 de x^{3/2}	\lim\:_{x\to\:64}(x^{\frac{3}{2}})
límite cuando x tiende a 0 de (2x^2-3x)/x	\lim\:_{x\to\:0}(\frac{2x^{2}-3x}{x})
inversalaplace e^{-3t}	inverselaplace\:e^{-3t}
derivada de (ax^2+bx+ce^{-x/8})	\frac{d}{dx}((ax^{2}+bx+c)e^{-\frac{x}{8}})
límite cuando x tiende a-1 de-x^2+4x	\lim\:_{x\to\:-1}(-x^{2}+4x)
integral de sqrt(1-9x^2)	\int\:\sqrt{1-9x^{2}}dx
integral de 0 a pi/2 de xcos(2x)	\int\:_{0}^{\frac{π}{2}}x\cos(2x)dx
(\partial)/(\partial x)(x^y-e^{xy})	\frac{\partial\:}{\partial\:x}(x^{y}-e^{xy})
límite cuando x tiende a+0 de (x+1)^2-x^2	\lim\:_{x\to\:+0}((x+1)^{2}-x^{2})
límite cuando x tiende a 3-de (7-x-5)/(x-3)	\lim\:_{x\to\:3-}(\frac{7-x-5}{x-3})
derivada de ((x+3/(x-1))^2)	\frac{d}{dx}((\frac{x+3}{x-1})^{2})
derivada de 1/(x^2+2x+2)	\frac{d}{dx}(\frac{1}{x^{2}+2x+2})
y^{''}-12y^'+61y=0	y^{\prime\:\prime\:}-12y^{\prime\:}+61y=0
(dy)/(dx)= y/x ln(y)	\frac{dy}{dx}=\frac{y}{x}\ln(y)
integral de 0 a pi/2 de-6sin^2(3x)	\int\:_{0}^{\frac{π}{2}}-6\sin^{2}(3x)dx
(\partial)/(\partial x)(2xy(9-x-y))	\frac{\partial\:}{\partial\:x}(2xy(9-x-y))
derivative x^2y^2	derivative\:x^{2}y^{2}
integral de 2xye^{x^2y}	\int\:2xye^{x^{2}y}dx
d/(dt)(3t^2)	\frac{d}{dt}(3t^{2})
derivada de-4e^{-x^2}x	\frac{d}{dx}(-4e^{-x^{2}}x)
(\partial)/(\partial x)((5x+4y)e^y)	\frac{\partial\:}{\partial\:x}((5x+4y)e^{y})
tangent 5x^2-4x+5	tangent\:5x^{2}-4x+5
límite cuando x tiende a infinity de xe^x	\lim\:_{x\to\:\infty\:}(xe^{x})
(dy)/(dx)=(9x)/(7y)	\frac{dy}{dx}=\frac{9x}{7y}
d/(dy)(ln(xy))	\frac{d}{dy}(\ln(xy))
(\partial)/(\partial x)(5cos(x))	\frac{\partial\:}{\partial\:x}(5\cos(x))
integral de 2x(x^2+1)^{-5}	\int\:2x(x^{2}+1)^{-5}dx
(\partial)/(\partial x)((ax)/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{ax}{y^{2}})
integral de ((x+4))/(x^3+3x^2+2x)	\int\:\frac{(x+4)}{x^{3}+3x^{2}+2x}dx
t^2y^{''}+5ty^'+4y=0	t^{2}y^{\prime\:\prime\:}+5ty^{\prime\:}+4y=0
límite cuando x tiende a 1+de (x-1)/(x-1)	\lim\:_{x\to\:1+}(\frac{x-1}{x-1})
límite cuando x tiende a 0 de (2sin(x/2))/x	\lim\:_{x\to\:0}(\frac{2\sin(\frac{x}{2})}{x})
derivative f(x)=(4/5 x)^4	derivative\:f(x)=(\frac{4}{5}x)^{4}
integral de t^2(t-8/t)	\int\:t^{2}(t-\frac{8}{t})dt
(dy)/(dx)=(xe^{x^2})	\frac{dy}{dx}=(xe^{x^{2}})
y^'-2y=y^3	y^{\prime\:}-2y=y^{3}
derivada de arccsc(tan(e^x))	\frac{d}{dx}(\arccsc(\tan(e^{x})))
(\partial)/(\partial x)(e^{2x}cos(8y))	\frac{\partial\:}{\partial\:x}(e^{2x}\cos(8y))
(1/(x(ln(x))^2))^'	(\frac{1}{x(\ln(x))^{2}})^{\prime\:}
(\partial}{\partial x}(\frac{x^2)/2)	\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{2})
derivada de (x+1^3)	\frac{d}{dx}((x+1)^{3})
integral de 0 a 1 de (61)/(x^5)	\int\:_{0}^{1}\frac{61}{x^{5}}dx
integral de-1 a 1 de (3x^2+1)^2	\int\:_{-1}^{1}(3x^{2}+1)^{2}dx
integral de (-4)/(x^2)	\int\:\frac{-4}{x^{2}}dx
derivative y=(2x-3)/(4x+1)	derivative\:y=\frac{2x-3}{4x+1}
(\partial)/(\partial x)(3(x-y)*e^{3y+2x^2})	\frac{\partial\:}{\partial\:x}(3(x-y)\cdot\:e^{3y+2x^{2}})
derivative (sqrt(t))/(1+t^2)	derivative\:\frac{\sqrt{t}}{1+t^{2}}

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