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Problemas populares

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Problemas populares de Cálculo

integral de 1/(sqrt(1+2x))	\int\:\frac{1}{\sqrt{1+2x}}dx
cos(x)y^'+sin(x)y=1	\cos(x)y^{\prime\:}+\sin(x)y=1
integral de (2x+3)/(sqrt(x+2))	\int\:\frac{2x+3}{\sqrt{x+2}}dx
derivada de sin(x^2cos(pix+2))	\frac{d}{dx}(\sin(x^{2})\cos(πx+2))
(\partial)/(\partial y)(4x^3-36x)	\frac{\partial\:}{\partial\:y}(4x^{3}-36x)
integral de 4ye^{y^2}	\int\:4ye^{y^{2}}dy
pendienteintercept (1999,67%),(2005,92%)	slopeintercept\:(1999,67\%),(2005,92\%)
taylor x^5,1	taylor\:x^{5},1
(\partial)/(\partial y)(2x^2y^2)	\frac{\partial\:}{\partial\:y}(2x^{2}y^{2})
límite cuando t tiende a-infinity de-1/3+1/3 e^{-t^3}	\lim\:_{t\to\:-\infty\:}(-\frac{1}{3}+\frac{1}{3}e^{-t^{3}})
integral de 5\sqrt[3]{x}	\int\:5\sqrt[3]{x}dx
y^{''}-9y^'+9y=0	y^{\prime\:\prime\:}-9y^{\prime\:}+9y=0
serie de n=1 a infinity de 2/(n+7)	\sum\:_{n=1}^{\infty\:}\frac{2}{n+7}
área y=6x,y=2x^2	area\:y=6x,y=2x^{2}
derivada de sin^3(5x^2)	\frac{d}{dx}(\sin^{3}(5x^{2}))
integral de 1/(5x^3)	\int\:\frac{1}{5x^{3}}dx
integral de 4xye^{xy^2}	\int\:4xye^{xy^{2}}dy
tangent f(x)=x^4-20x^2+64,\at x=-2	tangent\:f(x)=x^{4}-20x^{2}+64,\at\:x=-2
factorizar 24x^3+24x^2	factor\:24x^{3}+24x^{2}
derivada de 2x^2-1/(x^2+1/(x^3))	\frac{d}{dx}(2x^{2}-\frac{1}{x^{2}}+\frac{1}{x^{3}})
integral de (31)/(x^3-27)	\int\:\frac{31}{x^{3}-27}dx
derivative f(x)=sqrt(7x+5)	derivative\:f(x)=\sqrt{7x+5}
integral de x^2Inx	\int\:x^{2}Inxdx
(\partial)/(\partial y)(6x^{y/z})	\frac{\partial\:}{\partial\:y}(6x^{\frac{y}{z}})
integral de 2/(1/2+x^2)	\int\:\frac{2}{\frac{1}{2}+x^{2}}dx
integral de (x^4+x^2+4)/(x^2-4)	\int\:\frac{x^{4}+x^{2}+4}{x^{2}-4}dx
integral de (4x^2)/(sqrt(x^3+16))	\int\:\frac{4x^{2}}{\sqrt{x^{3}+16}}dx
derivative y=x^{5/3}-x^{2/3}	derivative\:y=x^{\frac{5}{3}}-x^{\frac{2}{3}}
límite cuando x tiende a-4 de x(x+3)(x+2)	\lim\:_{x\to\:-4}(x(x+3)(x+2))
tangent x/(-6x+6)	tangent\:\frac{x}{-6x+6}
área 3sin(x),3cos(x)	area\:3\sin(x),3\cos(x)
y^'=t^2y^3	y^{\prime\:}=t^{2}y^{3}
y^{'''}-3y^{''}-9y^'+27y=0	y^{\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:}-9y^{\prime\:}+27y=0
(\partial)/(\partial x)(2xyz)	\frac{\partial\:}{\partial\:x}(2xyz)
derivative 4x+1/x	derivative\:4x+\frac{1}{x}
integral de (6+6x)/(1+x^2)	\int\:\frac{6+6x}{1+x^{2}}dx
derivative-(13)/(s^5)	derivative\:-\frac{13}{s^{5}}
taylor ln(1+x)	taylor\:\ln(1+x)
derivada de 1/(ax+b)	\frac{d}{dx}(\frac{1}{ax+b})
integral de-2sin^3(x)cos(x)	\int\:-2\sin^{3}(x)\cos(x)dx
integral de (5t-2)/(t+1)	\int\:\frac{5t-2}{t+1}dt
derivada de x/(12+1)	\frac{d}{dx}(\frac{x}{12}+1)
integral de 1 a 2 de 2x^3-4	\int\:_{1}^{2}2x^{3}-4dx
(\partial}{\partial x}(\frac{5y^2)/x)	\frac{\partial\:}{\partial\:x}(\frac{5y^{2}}{x})
inversalaplace (2s)/((s^2+4)^2)	inverselaplace\:\frac{2s}{(s^{2}+4)^{2}}
derivada de (sqrt(x)+1/x)	\frac{d}{dx}(\frac{\sqrt{x}+1}{x})
límite cuando t tiende a infinity de 1/t	\lim\:_{t\to\:\infty\:}(\frac{1}{t})
integral de (18)/(x^2+1)	\int\:\frac{18}{x^{2}+1}dx
(\partial)/(\partial x)(e^{-6y}cos(6x)*6)	\frac{\partial\:}{\partial\:x}(e^{-6y}\cos(6x)\cdot\:6)
integral de (3x)/(2sqrt(x-1))	\int\:\frac{3x}{2\sqrt{x-1}}dx
derivative 2^{2x}	derivative\:2^{2x}
integral de xsqrt(4x^2+1)	\int\:x\sqrt{4x^{2}+1}dx
derivada de e^{5x-4x^2}	\frac{d}{dx}(e^{5x-4x^{2}})
derivada de (sqrt(x)/(7x+1))	\frac{d}{dx}(\frac{\sqrt{x}}{7x+1})
área 1-x^2,x-1	area\:1-x^{2},x-1
integral de 1/(xln(10))	\int\:\frac{1}{x\ln(10)}dx
(\partial)/(\partial x)(((x+z))/(y-z))	\frac{\partial\:}{\partial\:x}(\frac{(x+z)}{y-z})
serie de n=0 a infinity de (-3/2)^n	\sum\:_{n=0}^{\infty\:}(-\frac{3}{2})^{n}
área y=5x-x^2,y=x	area\:y=5x-x^{2},y=x
(\partial)/(\partial y)(xy^2+xy-x^2)	\frac{\partial\:}{\partial\:y}(xy^{2}+xy-x^{2})
d/(d{x)}({x}sqrt({x)^2+{y}^2+{z}^2})	\frac{d}{d{x}}({x}\sqrt{{x}^{2}+{y}^{2}+{z}^{2}})
derivada de 2/(\sqrt[3]{4x+1})	\frac{d}{dx}(\frac{2}{\sqrt[3]{4x+1}})
derivada de 4xsin(pix)	\frac{d}{dx}(4x\sin(πx))
tangent f(x)=(x^2)/(x+8),\at x=2	tangent\:f(x)=\frac{x^{2}}{x+8},\at\:x=2
integral de 10xln(9x)	\int\:10x\ln(9x)dx
integral de-pi a 0 de sin(x)	\int\:_{-π}^{0}\sin(x)dx
derivada de ((x^2)/(x-1))	\frac{d}{dx}(\frac{(x^{2})}{x-1})
límite cuando x tiende a 0 de (x^2-4x)/x	\lim\:_{x\to\:0}(\frac{x^{2}-4x}{x})
límite cuando x tiende a 7+de (x-7)/(\|x-7\|)	\lim\:_{x\to\:7+}(\frac{x-7}{\left\|x-7\right\|})
integral de t^{3/2}	\int\:t^{\frac{3}{2}}dt
(dv)/(dt)=9.8-kv	\frac{dv}{dt}=9.8-kv
integral de 3csc^2(x)-5sec(x)tan(x)	\int\:3\csc^{2}(x)-5\sec(x)\tan(x)dx
integral de (x+1)sqrt(x+3)	\int\:(x+1)\sqrt{x+3}dx
(dy)/(dx)=4x^3y	\frac{dy}{dx}=4x^{3}y
(\partial)/(\partial x)(-2ysin(x))	\frac{\partial\:}{\partial\:x}(-2y\sin(x))
y^{''}+4y=e^{-t}	y^{\prime\:\prime\:}+4y=e^{-t}
derivative 7(4e^x-27)^5	derivative\:7(4e^{x}-27)^{5}
integral de 1 a 5 de sqrt(1+2^2)	\int\:_{1}^{5}\sqrt{1+2^{2}}dx
límite cuando x tiende a infinity de 1/9	\lim\:_{x\to\:\infty\:}(\frac{1}{9})
7^'	7^{\prime\:}
y^{''}+y=(t^2+t)sin(t)	y^{\prime\:\prime\:}+y=(t^{2}+t)\sin(t)
implicit (dy)/(dx),xy=18	implicit\:\frac{dy}{dx},xy=18
derivative f(t)=(4t+8)/(t+3)	derivative\:f(t)=\frac{4t+8}{t+3}
integral de x/(1+3x)	\int\:\frac{x}{1+3x}dx
integral de (e^{2x})/((e^x+1)^3)	\int\:\frac{e^{2x}}{(e^{x}+1)^{3}}dx
integral de-pi a pi de cos^2(9x)	\int\:_{-π}^{π}\cos^{2}(9x)dx
integral de (cos(ax))/(sin^5(ax))	\int\:\frac{\cos(ax)}{\sin^{5}(ax)}dx
derivative 7tsin(2t)	derivative\:7t\sin(2t)
derivada de xye^{(-x^2/2-(y^2)/2})	\frac{d}{dx}(xye^{\frac{-x^{2}}{2}-\frac{y^{2}}{2}})
integral de rsqrt(9-r^2)	\int\:r\sqrt{9-r^{2}}dr
x^'+(2sin(t)cos(t))x=e^{-sin^2(t)}	x^{\prime\:}+(2\sin(t)\cos(t))x=e^{-\sin^{2}(t)}
integral de ln(r)	\int\:\ln(r)dr
y^'=-6xy^4	y^{\prime\:}=-6xy^{4}
derivada de (5x^2-sqrt(x)/x)	\frac{d}{dx}(\frac{5x^{2}-\sqrt{x}}{x})
integral de (7(x^2+4))/(x(x^2+7))	\int\:\frac{7(x^{2}+4)}{x(x^{2}+7)}dx
límite cuando t tiende a 0 de sin(4t)	\lim\:_{t\to\:0}(\sin(4t))
derivada de (x-y+2^2)	\frac{d}{dx}((x-y+2)^{2})
(\partial)/(\partial z)(x^2y^4+z^3)	\frac{\partial\:}{\partial\:z}(x^{2}y^{4}+z^{3})
integral de x/(x^2-4)	\int\:\frac{x}{x^{2}-4}dx
maclaurin (cos(2x))/3	maclaurin\:\frac{\cos(2x)}{3}

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