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Problemas populares de Cálculo

partialfraction (x^3)/(x-2)	partialfraction\:\frac{x^{3}}{x-2}
(dy)/(dx)=y^2+a^2	\frac{dy}{dx}=y^{2}+a^{2}
y^{''}-2y^'+y=e^x(2-12x)	y^{\prime\:\prime\:}-2y^{\prime\:}+y=e^{x}(2-12x)
integral de (e^x)/(sqrt(e^{2x)+9)}	\int\:\frac{e^{x}}{\sqrt{e^{2x}+9}}dx
derivative y=5x^2-12x-8/(x^2)	derivative\:y=5x^{2}-12x-\frac{8}{x^{2}}
-1/(2x^{3/2)}	-\frac{1}{2x^{\frac{3}{2}}}
integral de 2tanh(x)	\int\:2\tanh(x)dx
derivative ln(7)	derivative\:\ln(7)
integral de sqrt(x)(6+5x)	\int\:\sqrt{x}(6+5x)dx
derivative 4/((sqrt(x)))	derivative\:\frac{4}{(\sqrt{x})}
integral de 0 a 0.6 de ln(sec(x))	\int\:_{0}^{0.6}\ln(\sec(x))dx
(d^2)/(dx^2)(6x+11)	\frac{d^{2}}{dx^{2}}(6x+11)
límite cuando x tiende a 4+de (x-5)/(x-4)	\lim\:_{x\to\:4+}(\frac{x-5}{x-4})
integral de (4x^3)/(x^4-2)	\int\:\frac{4x^{3}}{x^{4}-2}dx
(\partial)/(\partial x)(cos(x^2+y^2)*2x)	\frac{\partial\:}{\partial\:x}(\cos(x^{2}+y^{2})\cdot\:2x)
integral de 0 a pi de cos^4(2t)	\int\:_{0}^{π}\cos^{4}(2t)dt
derivada de (x^3-x^3)	\frac{d}{dx}((x^{3}-x)^{3})
x^2y^'+2xy=sin(3x)	x^{2}y^{\prime\:}+2xy=\sin(3x)
límite cuando x tiende a 0-de (x+94)/x	\lim\:_{x\to\:0-}(\frac{x+94}{x})
d/(dt)((2t)/(t^2+1))	\frac{d}{dt}(\frac{2t}{t^{2}+1})
derivative e^{5x}cos(8x)	derivative\:e^{5x}\cos(8x)
límite cuando h tiende a 0 de (2h)^2	\lim\:_{h\to\:0}((2h)^{2})
derivada de sin^{cos(x}(x))	\frac{d}{dx}(\sin^{\cos(x)}(x))
tangent y=8e^xcos^2(x),\at x= pi/4	tangent\:y=8e^{x}\cos^{2}(x),\at\:x=\frac{π}{4}
(\partial)/(\partial x)(-2cos(-3x+7))	\frac{\partial\:}{\partial\:x}(-2\cos(-3x+7))
d/(dt)(2t^{-1})	\frac{d}{dt}(2t^{-1})
derivative f(x)=2ex	derivative\:f(x)=2ex
(1+1/x)(dy)/(dx)+y=0	(1+\frac{1}{x})\frac{dy}{dx}+y=0
límite cuando x tiende a 0-de (tan(x))/x	\lim\:_{x\to\:0-}(\frac{\tan(x)}{x})
integral de e^x(sqrt(pi+e^x))	\int\:e^{x}(\sqrt{π+e^{x}})dx
(dx)/(dt)=2x+t	\frac{dx}{dt}=2x+t
inversalaplace 1/(s^4)	inverselaplace\:\frac{1}{s^{4}}
x^{''}=-k^2x	x^{\prime\:\prime\:}=-k^{2}x
(2+x)y^'-xy=0	(2+x)y^{\prime\:}-xy=0
laplacetransformación e^s	laplacetransform\:e^{s}
límite cuando x tiende a c de 5	\lim\:_{x\to\:c}(5)
tangent f(x)=x^4-5x^2+4,\at x=2	tangent\:f(x)=x^{4}-5x^{2}+4,\at\:x=2
(dy)/(dx)-y/x =xe^x	\frac{dy}{dx}-\frac{y}{x}=xe^{x}
integral de (x^2)/(x^2-x+1)	\int\:\frac{x^{2}}{x^{2}-x+1}dx
derivada de A*e^x	\frac{d}{dx}(A\cdot\:e^{x})
derivative f(x)=(x^5)/5-(4x^3)/3+4x	derivative\:f(x)=\frac{x^{5}}{5}-\frac{4x^{3}}{3}+4x
tangent f(x)=7e^{-0.03x},\at x=9	tangent\:f(x)=7e^{-0.03x},\at\:x=9
derivative y=((3x-9))/((2x+8))	derivative\:y=\frac{(3x-9)}{(2x+8)}
integral de (x^3+x)e^{-4x}	\int\:(x^{3}+x)e^{-4x}dx
integral de (2x)/(sqrt(x^2-1))	\int\:\frac{2x}{\sqrt{x^{2}-1}}dx
derivada de 2(3-x^2^5)	\frac{d}{dx}(2(3-x^{2})^{5})
integral de 0 a 3 de 2pix(9-x^2)	\int\:_{0}^{3}2πx(9-x^{2})dx
derivada de 5x^{ln(5x})	\frac{d}{dx}(5x^{\ln(5x)})
y^'+2xy= x/(y^2)	y^{\prime\:}+2xy=\frac{x}{y^{2}}
integral de (3x^2-2x+1)(x^3-x^2+x)^8	\int\:(3x^{2}-2x+1)(x^{3}-x^{2}+x)^{8}dx
derivative y=(tsin(t))^2+tsin(t)	derivative\:y=(t\cdot\:\sin(t))^{2}+t\cdot\:\sin(t)
simplificar sec^2(2x)-tan^2(2x)	simplify\:\sec^{2}(2x)-\tan^{2}(2x)
(\partial)/(\partial x)(-4e^{-x-y})	\frac{\partial\:}{\partial\:x}(-4e^{-x-y})
3(dy)/(dx)+12y=4	3\frac{dy}{dx}+12y=4
límite cuando x tiende a 3 de x/(x-2)	\lim\:_{x\to\:3}(\frac{x}{x-2})
(\partial)/(\partial y)(y^{2/3})	\frac{\partial\:}{\partial\:y}(y^{\frac{2}{3}})
derivada de ln(6x^2)	\frac{d}{dx}(\ln(6x^{2}))
ty^'+3y=0	ty^{\prime\:}+3y=0
(\partial)/(\partial y)(zln(y)+e^2)	\frac{\partial\:}{\partial\:y}(z\ln(y)+e^{2})
derivada de-xe^{y/x}	\frac{d}{dx}(-xe^{\frac{y}{x}})
integral de 0 a pi/2 de cot(x)	\int\:_{0}^{\frac{π}{2}}\cot(x)dx
límite cuando x tiende a 0 de (1+8x)^{6/x}	\lim\:_{x\to\:0}((1+8x)^{\frac{6}{x}})
simplificar (4-3x-x^2)/(x^2-1)	simplify\:\frac{4-3x-x^{2}}{x^{2}-1}
(dx)/(dy)=3x	\frac{dx}{dy}=3x
integral de 1/2 a 3 de 1/(x^2)	\int\:_{\frac{1}{2}}^{3}\frac{1}{x^{2}}dx
integral de 0 a 2pi de (x^2sin(2x))	\int\:_{0}^{2π}(x^{2}\sin(2x))dx
límite cuando t tiende a 0 de (sin(7t))/t	\lim\:_{t\to\:0}(\frac{\sin(7t)}{t})
derivada de cos(x+isin(x))	\frac{d}{dx}(\cos(x)+i\sin(x))
tangent y=x^3-3x+2,(2,4)	tangent\:y=x^{3}-3x+2,(2,4)
integral de-infinity a-1 de e^{-2x}	\int\:_{-\infty\:}^{-1}e^{-2x}dx
integral de (3x^3-3x^2+1)/(x^2-x)	\int\:\frac{3x^{3}-3x^{2}+1}{x^{2}-x}dx
integral de xarcsin(x	\int\:x\arcsin(d)xdx
derivada de-7ln(3x+4)	\frac{d}{dx}(-7\ln(3x+4))
integral de x(x^2+3)^4	\int\:x(x^{2}+3)^{4}dx
límite cuando x tiende a 0 de 8x	\lim\:_{x\to\:0}(8x)
(\partial)/(\partial x)(3x^2-5y)	\frac{\partial\:}{\partial\:x}(3x^{2}-5y)
tangent xy^8+8xy=36,(4,1)	tangent\:xy^{8}+8xy=36,(4,1)
derivada de 13/3 x^3+21/2 x^2-10x-7	\frac{d}{dx}(\frac{13}{3}x^{3}+\frac{21}{2}x^{2}-10x-7)
tangent 3x^2+x+2=2y^2+y,(1,-2)	tangent\:3x^{2}+x+2=2y^{2}+y,(1,-2)
integral de (x^2)/(sqrt(3+1))	\int\:\frac{x^{2}}{\sqrt{3+1}}dx
tangent f(x)=sin(sin(x)),(3pi,0)	tangent\:f(x)=\sin(\sin(x)),(3π,0)
derivative f(x)=1000-x-1/8 x^2	derivative\:f(x)=1000-x-\frac{1}{8}x^{2}
derivative f(x)=x-3	derivative\:f(x)=x-3
y^{''}+4y^'+8y=325e^{2t}cos(5t)	y^{\prime\:\prime\:}+4y^{\prime\:}+8y=325e^{2t}\cos(5t)
integral de 2yx	\int\:2yxdx
derivada de (x+1/(sqrt(x^2-3)))	\frac{d}{dx}(\frac{x+1}{\sqrt{x^{2}-3}})
(\partial)/(\partial x)(x^2cos(y))	\frac{\partial\:}{\partial\:x}(x^{2}\cos(y))
integral de 1/((x-1)(x-2))	\int\:\frac{1}{(x-1)(x-2)}dx
límite cuando x tiende a-3 de 5/(x+3)	\lim\:_{x\to\:-3}(\frac{5}{x+3})
integral de (v^{3/2}+1/(v^{3/2)})	\int\:(v^{\frac{3}{2}}+\frac{1}{v^{\frac{3}{2}}})dv
integral de 1 a 4 de (x/2-5/x)	\int\:_{1}^{4}(\frac{x}{2}-\frac{5}{x})dx
límite cuando x tiende a 7/8 de x^4	\lim\:_{x\to\:\frac{7}{8}}(x^{4})
derivada de (e^{x-2}/x)	\frac{d}{dx}(\frac{e^{x-2}}{x})
integral de (2x)/(sqrt(9-4x^2))	\int\:\frac{2x}{\sqrt{9-4x^{2}}}dx
derivada de 2-2sin(x)	\frac{d}{dx}(2-2\sin(x))
integral de 1 a 4 de (4x^2)	\int\:_{1}^{4}(4x^{2})dx
x^2y^{''}-5xy^'+9y=0,y(1)=-5,y^'(1)=-17	x^{2}y^{\prime\:\prime\:}-5xy^{\prime\:}+9y=0,y(1)=-5,y^{\prime\:}(1)=-17
pendiente (-3.1)(0.3)	slope\:(-3.1)(0.3)
derivative 4arcsin(x)	derivative\:4\arcsin(x)
límite cuando x tiende a 0 de 2x^3+ln(x)	\lim\:_{x\to\:0}(2x^{3}+\ln(x))

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