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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial x)(10x^3+3x^2y-3y^5)	\frac{\partial\:}{\partial\:x}(10x^{3}+3x^{2}y-3y^{5})
y^{''}-11y^'+30y=20e^t	y^{\prime\:\prime\:}-11y^{\prime\:}+30y=20e^{t}
integral de 0 a 2 de (sin(x)+e^x)	\int\:_{0}^{2}(\sin(x)+e^{x})dx
integral de (x^2(x^3-2x+1))	\int\:(x^{2}(x^{3}-2x+1))dx
derivada de (8x^2+8x+6/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+8x+6}{\sqrt{x}})
integral de 1/(x^3+x^2)	\int\:\frac{1}{x^{3}+x^{2}}dx
integral de (29x^4+29x^3+2x+1)/(x^2+x)	\int\:\frac{29x^{4}+29x^{3}+2x+1}{x^{2}+x}dx
derivada de y=(sin(x/2)-cos(x/2))^2	\frac{d}{dx}y=(\sin(\frac{x}{2})-\cos(\frac{x}{2}))^{2}
integral de (5-x)/(2x^2+x-1)	\int\:\frac{5-x}{2x^{2}+x-1}dx
(\partial)/(\partial x)(arcot(y/x))	\frac{\partial\:}{\partial\:x}(ar\cot(\frac{y}{x}))
integral de 0 a 1 de x(4\sqrt[3]{x}+7\sqrt[4]{x})	\int\:_{0}^{1}x(4\sqrt[3]{x}+7\sqrt[4]{x})dx
derivative y=e^{2e^x}	derivative\:y=e^{2e^{x}}
límite cuando x tiende a 3 de x^2-x-6	\lim\:_{x\to\:3}(x^{2}-x-6)
integral de 1 a 8 de 7(ln(x))/(x^2)	\int\:_{1}^{8}7\frac{\ln(x)}{x^{2}}dx
inversalaplace (s-2)/(s^2-7s+6)	inverselaplace\:\frac{s-2}{s^{2}-7s+6}
derivative x^{-6}+e^{2x}	derivative\:x^{-6}+e^{2x}
(dy)/(dx)+2xy=x	\frac{dy}{dx}+2xy=x
integral de 1/24 x^2	\int\:\frac{1}{24}x^{2}dx
(\partial)/(\partial x)(-x+6y)	\frac{\partial\:}{\partial\:x}(-x+6y)
derivada de ln(5+ln(x))	\frac{d}{dx}(\ln(5+\ln(x)))
límite cuando x tiende a infinity de 5e^x	\lim\:_{x\to\:\infty\:}(5e^{x})
(\partial)/(\partial x)(7x^{6y})	\frac{\partial\:}{\partial\:x}(7x^{6y})
(\partial)/(\partial b)((ax+b-y)^2)	\frac{\partial\:}{\partial\:b}((ax+b-y)^{2})
integral de e^{(-x)/3}cos(5x)	\int\:e^{\frac{-x}{3}}\cos(5x)dx
límite cuando x tiende a 0 de (11sin(8x))/x	\lim\:_{x\to\:0}(\frac{11\sin(8x)}{x})
pendiente 7y^3+9x^8=5y+11x,(1,1)	slope\:7y^{3}+9x^{8}=5y+11x,(1,1)
derivative x^4+5x^2-x	derivative\:x^{4}+5x^{2}-x
derivative f(x)=8e^e	derivative\:f(x)=8e^{e}
derivative x^2e^x-2xe^x+6e^x	derivative\:x^{2}e^{x}-2xe^{x}+6e^{x}
integral de 2 a 2x de sqrt(15-t)	\int\:_{2}^{2x}\sqrt{15-t}dt
derivative y=x^5cos(x)	derivative\:y=x^{5}\cos(x)
derivada de a(x+1(x-r))	\frac{d}{dx}(a(x+1)(x-r))
ty^'+y=0	ty^{\prime\:}+y=0
(dx)/(dt)=x-4	\frac{dx}{dt}=x-4
integral de 1 a infinity de x/(x^4+1)	\int\:_{1}^{\infty\:}\frac{x}{x^{4}+1}dx
normal y=(1+2x)/(3+x),(2,1)	normal\:y=\frac{1+2x}{3+x},(2,1)
(\partial)/(\partial x)(sqrt(5x^2+4y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{5x^{2}+4y^{2}})
integral de (x^4+1)e^{x^5+5x}	\int\:(x^{4}+1)e^{x^{5}+5x}dx
serie de n=1 a infinity de 1/((2n)!)	\sum\:_{n=1}^{\infty\:}\frac{1}{(2n)!}
límite cuando x tiende a 0 de (1-6x)^{1/x}	\lim\:_{x\to\:0}((1-6x)^{\frac{1}{x}})
tangent f(x)=4sec(x),\at x= pi/3	tangent\:f(x)=4\sec(x),\at\:x=\frac{π}{3}
integral de k/(x^3)	\int\:\frac{k}{x^{3}}dx
derivada de tan(3x^4)	\frac{d}{dx}(\tan(3x^{4}))
(sec(x)tan(x))^'	(\sec(x)\tan(x))^{\prime\:}
derivative (3(7x^2-2x+6))/(4x^{5/2)}	derivative\:\frac{3(7x^{2}-2x+6)}{4x^{\frac{5}{2}}}
(\partial)/(\partial x)(xye^z)	\frac{\partial\:}{\partial\:x}(xye^{z})
derivative y=2sin(2x)	derivative\:y=2\sin(2x)
(\partial)/(\partial x)(xye^2)	\frac{\partial\:}{\partial\:x}(xye^{2})
integral de 1 a 3 de (x+2)^3	\int\:_{1}^{3}(x+2)^{3}dx
integral de (x^2-x+13)/((x+1)(x^2+4))	\int\:\frac{x^{2}-x+13}{(x+1)(x^{2}+4)}dx
integral de ln(X)	\int\:\ln(X)dX
límite cuando x tiende a 1+de 2x+5	\lim\:_{x\to\:1+}(2x+5)
integral de (1+x)^2	\int\:(1+x)^{2}dx
integral de 11tan^2(x)sec^3(x)	\int\:11\tan^{2}(x)\sec^{3}(x)dx
integral de sqrt(1+2sin(3x))cos(3x)	\int\:\sqrt{1+2\sin(3x)}\cos(3x)dx
límite cuando x tiende a 1 de 8	\lim\:_{x\to\:1}(8)
límite cuando x tiende a 0 de (2sin(3x))/x	\lim\:_{x\to\:0}(\frac{2\sin(3x)}{x})
integral de 1/(4pit)e^{-(r^2)/(4t)}r	\int\:\frac{1}{4πt}e^{-\frac{r^{2}}{4t}}rdr
inversalaplace {1/(4s^2+1)}	inverselaplace\:\left\{\frac{1}{4s^{2}+1}\right\}
integral de 1/(4+5x^2)	\int\:\frac{1}{4+5x^{2}}dx
(\partial)/(\partial y)(2xyz^2)	\frac{\partial\:}{\partial\:y}(2xyz^{2})
y^{''}-4y^'+4y=6e^{2t}-6te^{2t}-12t+12	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=6e^{2t}-6te^{2t}-12t+12
integral de tan^2(2x)sec^4(2x)	\int\:\tan^{2}(2x)\sec^{4}(2x)dx
(dy)/(dx)+y= 1/(1+e^x)	\frac{dy}{dx}+y=\frac{1}{1+e^{x}}
tangent y=(x^3-9x)^{12},(3,0)	tangent\:y=(x^{3}-9x)^{12},(3,0)
(\partial)/(\partial x)(3ycos(-3x))	\frac{\partial\:}{\partial\:x}(3y\cos(-3x))
derivada de x^2-x-12	\frac{d}{dx}(x^{2}-x-12)
derivative tan(7)x^2	derivative\:\tan(7)x^{2}
integral de 0 a 1 de 2-x^2	\int\:_{0}^{1}2-x^{2}dx
tangent y= x/(1+x^2),(0,0)	tangent\:y=\frac{x}{1+x^{2}},(0,0)
derivada de 1/3 x^3+1	\frac{d}{dx}(\frac{1}{3}x^{3}+1)
(dy)/(dx)=9x^2y^2	\frac{dy}{dx}=9x^{2}y^{2}
derivada de sin(x+10tan(x))	\frac{d}{dx}(\sin(x)+10\tan(x))
y^'+0.003y-0.105=0	y^{\prime\:}+0.003y-0.105=0
(\partial)/(\partial z)(yzln(xy))	\frac{\partial\:}{\partial\:z}(yz\ln(xy))
tangent f(x)=7+3x+4xe^x,\at x=0	tangent\:f(x)=7+3x+4xe^{x},\at\:x=0
derivative (5x^3+2)^4	derivative\:(5x^{3}+2)^{4}
límite cuando x tiende a-infinity de (1+3/x)^{x/4}	\lim\:_{x\to\:-\infty\:}((1+\frac{3}{x})^{\frac{x}{4}})
integral de ((ln(x^2)))/x	\int\:\frac{(\ln(x^{2}))}{x}dx
derivative h(t)=(t+5)^{2/3}(3t^2-1)^3	derivative\:h(t)=(t+5)^{\frac{2}{3}}(3t^{2}-1)^{3}
tangent y=sin(4x)	tangent\:y=\sin(4x)
integral de (cos(x))^3sin(x)	\int\:(\cos(x))^{3}\sin(x)dx
integral de 0 a 3 de ((30-y)-y^{1/3})	\int\:_{0}^{3}((30-y)-y^{\frac{1}{3}})dy
derivada de sin(x-e^x)	\frac{d}{dx}(\sin(x)-e^{x})
y^{''}+2y^'+2y=sin(2t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(2t),y(0)=0,y^{\prime\:}(0)=0
d/(dr(d))([sqrt((12.61)/(0.45))(84.4)]r(d)ad)	\frac{d}{dr(d)}([\sqrt{\frac{12.61}{0.45}}(84.4)]r(d)ad)
integral de-2 a 1 de (1-2x)	\int\:_{-2}^{1}(1-2x)dx
integral de ((tan(x)+sin(x)))/(sec(x))	\int\:\frac{(\tan(x)+\sin(x))}{\sec(x)}dx
integral de (4+x^6)^6x^5	\int\:(4+x^{6})^{6}x^{5}dx
límite cuando n tiende a infinity de (1+((4))/(2x-3))^{2x+1}	\lim\:_{n\to\:\infty\:}((1+\frac{(4)}{2x-3})^{2x+1})
derivada de ln(a+x+sqrt(x^2+2ax))	\frac{d}{dx}(\ln(a+x+\sqrt{x^{2}+2ax}))
(\partial)/(\partial x)(-2xyz^2)	\frac{\partial\:}{\partial\:x}(-2xyz^{2})
integral de 0 a 1 de 1/(x^1)	\int\:_{0}^{1}\frac{1}{x^{1}}dx
integral de (x^3+8)/((x^2-1)(x-2))	\int\:\frac{x^{3}+8}{(x^{2}-1)(x-2)}dx
(dy)/(dx)+(3/x-1)y=-2/x	\frac{dy}{dx}+(\frac{3}{x}-1)y=-\frac{2}{x}
área y=2x,x=3	area\:y=2x,x=3
integral de e^{-st}e^{at}	\int\:e^{-st}e^{at}dt
integral de 2x^4+5x+1	\int\:2x^{4}+5x+1dx
(y^')/y =5	\frac{y^{\prime\:}}{y}=5
serie de n=1 a infinity de 1/(5^{n+2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n+2}}

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