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Problemas populares de Cálculo

partialfraction (x^2)/(1-x^2)	partialfraction\:\frac{x^{2}}{1-x^{2}}
(\partial)/(\partial x)(x^3y+xcos(y))	\frac{\partial\:}{\partial\:x}(x^{3}y+x\cos(y))
(dy)/(dx)= 1/2 y^3	\frac{dy}{dx}=\frac{1}{2}y^{3}
(\partial)/(\partial x)(cos^7(x^9y^8))	\frac{\partial\:}{\partial\:x}(\cos^{7}(x^{9}y^{8}))
derivative 1/(e^x)	derivative\:\frac{1}{e^{x}}
(y^3-1)e^x+3y^2(e^x+1)(dy)/(dx)=0,y(0)=2	(y^{3}-1)e^{x}+3y^{2}(e^{x}+1)\frac{dy}{dx}=0,y(0)=2
y^{''}-2y^'-12y=0	y^{\prime\:\prime\:}-2y^{\prime\:}-12y=0
derivada de 5/3 x^3	\frac{d}{dx}(\frac{5}{3}x^{3})
pendiente (-2,5),(4,-4)	slope\:(-2,5),(4,-4)
tangent f(x)=((x^2))/(x+9),\at x=2	tangent\:f(x)=\frac{(x^{2})}{x+9},\at\:x=2
taylor 5^t,0	taylor\:5^{t},0
integral de 1/((x+1)^2(x-3))	\int\:\frac{1}{(x+1)^{2}(x-3)}dx
(\partial)/(\partial x)(3ye^{5x})	\frac{\partial\:}{\partial\:x}(3ye^{5x})
integral de 0 a 1 de (u+7)(u-8)	\int\:_{0}^{1}(u+7)(u-8)du
integral de x^2e^{x^3+1}	\int\:x^{2}e^{x^{3}+1}dx
integral de 1/(16x^2+9)	\int\:\frac{1}{16x^{2}+9}dx
integral de ((x^3+4))/(x^2+4)	\int\:\frac{(x^{3}+4)}{x^{2}+4}dx
integral de 2e^{4x}	\int\:2e^{4x}dx
inversalaplace 5/(3(s+3)^2+27)	inverselaplace\:\frac{5}{3(s+3)^{2}+27}
límite cuando x tiende a-1 de x/(x-1)	\lim\:_{x\to\:-1}(\frac{x}{x-1})
d/(dy)((x-y)/(x+y))	\frac{d}{dy}(\frac{x-y}{x+y})
límite cuando x tiende a 0 de (e^x-1)/(x^9)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{x^{9}})
x^2y^{''}-2xy^'+2y=0	x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+2y=0
área f(x)=-x^2+6x-8,4,-2	area\:f(x)=-x^{2}+6x-8,4,-2
integral de 1/(sqrt(6x+1))	\int\:\frac{1}{\sqrt{6x+1}}dx
integral de 0 a 6 de te^{-t}	\int\:_{0}^{6}te^{-t}dt
(\partial)/(\partial x)(we^{x^2+y^2}ln(z))	\frac{\partial\:}{\partial\:x}(we^{x^{2}+y^{2}}\ln(z))
integral de y/(sqrt(25-36y^4))	\int\:\frac{y}{\sqrt{25-36y^{4}}}dy
integral de 1/(x^2(1-x^2))	\int\:\frac{1}{x^{2}(1-x^{2})}dx
derivada de ((x+1)/3)	\frac{d}{dx}(\frac{(x+1)}{3})
derivada de (x^2/(sin(a)x))	\frac{d}{dx}(\frac{x^{2}}{\sin(a)x})
integral de 1/(x^2+x^4)	\int\:\frac{1}{x^{2}+x^{4}}dx
y^'-y=2cos(5t)	y^{\prime\:}-y=2\cos(5t)
límite cuando x tiende a 2 de-x^3	\lim\:_{x\to\:2}(-x^{3})
límite cuando x tiende a 0 de 1/(2^x-1)-1/x	\lim\:_{x\to\:0}(\frac{1}{2^{x}-1}-\frac{1}{x})
tangent f(x)= 1/(x^5),\at x=1	tangent\:f(x)=\frac{1}{x^{5}},\at\:x=1
integral de (t^6)/(sqrt(1-t^{14))}	\int\:\frac{t^{6}}{\sqrt{1-t^{14}}}dt
límite cuando x tiende a a+de g(x)	\lim\:_{x\to\:a+}(g(x))
integral de x^2+3x+2	\int\:x^{2}+3x+2dx
laplacetransformación t-e^{-3t}	laplacetransform\:t-e^{-3t}
(\partial)/(\partial x)((-3)/(y-3x))	\frac{\partial\:}{\partial\:x}(\frac{-3}{y-3x})
tangent 2x^2+x-1,\at a=0	tangent\:2x^{2}+x-1,\at\:a=0
integral de 0 a 3 de x^3-x	\int\:_{0}^{3}x^{3}-xdx
derivative f(x)=(4x^4-7x^2+6)	derivative\:f(x)=(4x^{4}-7x^{2}+6)
derivative (x+1/x)^3	derivative\:(x+\frac{1}{x})^{3}
límite cuando x tiende a 2 de 5x^3-9x^2+7	\lim\:_{x\to\:2}(5x^{3}-9x^{2}+7)
integral de x^3*cos(x)	\int\:x^{3}\cdot\:\cos(x)dx
xln(x)=y(1+sqrt(8+y^2))y^'(x),y(1)=1	x\ln(x)=y(1+\sqrt{8+y^{2}})y^{\prime\:}(x),y(1)=1
derivada de in(x^2+1)	\frac{d}{dx}(in(x^{2}+1))
(dy)/(dx)=y^2+1	\frac{dy}{dx}=y^{2}+1
derivada de e^{(-x^2/8})	\frac{d}{dx}(e^{\frac{-x^{2}}{8}})
integral de (ln(x))^4 1/x	\int\:(\ln(x))^{4}\frac{1}{x}dx
integral de 3 a 4 de x/(x^2-1)	\int\:_{3}^{4}\frac{x}{x^{2}-1}dx
integral de 1/((x-3))	\int\:\frac{1}{(x-3)}dx
simplificar y/x	simplify\:\frac{y}{x}
(\partial)/(\partial x)(2xe^{xy})	\frac{\partial\:}{\partial\:x}(2xe^{xy})
derivative 9z^2e^z	derivative\:9z^{2}e^{z}
integral de x^5ln(8x)	\int\:x^{5}\ln(8x)dx
integral de 1/(7x(ln(5x))^6)	\int\:\frac{1}{7x(\ln(5x))^{6}}dx
derivative y=e^x10^x	derivative\:y=e^{x}10^{x}
integral de 1/(sqrt(25+9x^2))	\int\:\frac{1}{\sqrt{25+9x^{2}}}dx
integral de e^{-st}sin(4t)	\int\:e^{-st}\sin(4t)dt
integral de 2/(1+tan(x))	\int\:\frac{2}{1+\tan(x)}dx
integral de 4 a 8 de t^4ln(3t)	\int\:_{4}^{8}t^{4}\ln(3t)dt
derivative f(x)=x(2-x)^2	derivative\:f(x)=x(2-x)^{2}
integral de t^2e^{5t}	\int\:t^{2}e^{5t}dt
derivada de e^{2x^2-5x}	\frac{d}{dx}(e^{2x^{2}-5x})
(d^2)/(dx^2)(4x^2)	\frac{d^{2}}{dx^{2}}(4x^{2})
integral de 0 a 2 de (x^2+2)/(x+1)	\int\:_{0}^{2}\frac{x^{2}+2}{x+1}dx
integral de-(2x)/(1-x^2)	\int\:-\frac{2x}{1-x^{2}}dx
inversalaplace 2/(s^2+4)	inverselaplace\:\frac{2}{s^{2}+4}
integral de 0 a 4 de xe^{x+2}	\int\:_{0}^{4}xe^{x+2}dx
integral de (5-3sin(2x))/(sec(6x))	\int\:\frac{5-3\sin(2x)}{\sec(6x)}dx
integral de ((x^2+1)/x)	\int\:(\frac{x^{2}+1}{x})dx
derivative 1/(4+x^2)	derivative\:\frac{1}{4+x^{2}}
integral de 0 a pi/2 de (sin^3(x))	\int\:_{0}^{\frac{π}{2}}(\sin^{3}(x))dx
serie de n=2 a infinity de n/(3^{n+1)}	\sum\:_{n=2}^{\infty\:}\frac{n}{3^{n+1}}
derivative ln((8-x)/(8+x))	derivative\:\ln(\frac{8-x}{8+x})
derivative 72x-(4x^3)/3	derivative\:72x-\frac{4x^{3}}{3}
(\partial)/(\partial y)(y/(1+x^2))	\frac{\partial\:}{\partial\:y}(\frac{y}{1+x^{2}})
integral de 1/(sqrt(x)+2)	\int\:\frac{1}{\sqrt{x}+2}dx
d/(dθ)(2cos(θ))	\frac{d}{dθ}(2\cos(θ))
(dy)/(dx)=(4x^2+3x+2)(y+5)	\frac{dy}{dx}=(4x^{2}+3x+2)(y+5)
integral de 1.5x	\int\:1.5xdx
(x^2+4),(-x^2-1),x=-2,x=3	(x^{2}+4),(-x^{2}-1),x=-2,x=3
límite cuando t tiende a 2 de 6t^2-3t+1	\lim\:_{t\to\:2}(6t^{2}-3t+1)
inversalaplace (-s-4)/(s^2+4s+3)	inverselaplace\:\frac{-s-4}{s^{2}+4s+3}
integral de sqrt(1+y^3)	\int\:\sqrt{1+y^{3}}dy
(\partial)/(\partial x)(4x^3y-6x^2y^2)	\frac{\partial\:}{\partial\:x}(4x^{3}y-6x^{2}y^{2})
integral de 4sin(2x+3)	\int\:4\sin(2x+3)dx
derivative y=e^{2x}arcsin(x)	derivative\:y=e^{2x}\arcsin(x)
derivative 16cos(2x)	derivative\:16\cos(2x)
y-y^{''}=(1+pi^2)sin(pix)	y-y^{\prime\:\prime\:}=(1+π^{2})\sin(πx)
integral de 1/(1+11x)	\int\:\frac{1}{1+11x}dx
derivative y=(5x+1)^4(4x+3)^{-2}	derivative\:y=(5x+1)^{4}(4x+3)^{-2}
límite cuando x tiende a 4 de x*5	\lim\:_{x\to\:4}(x\cdot\:5)
límite cuando x tiende a infinity de x+1/x	\lim\:_{x\to\:\infty\:}(x+\frac{1}{x})
integral de 2 a 10 de (-4)	\int\:_{2}^{10}(-4)dx
derivada de xsin(ln(x))	\frac{d}{dx}(x\sin(\ln(x)))
serie de n=0 a infinity de 1/(n+19)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+19}

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