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Problemas populares

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Problemas populares de Cálculo

derivada de (11-3x^{2/3}(x-2)^4)	\frac{d}{dx}((11-3x)^{\frac{2}{3}}(x-2)^{4})
integral de (x^2+2x+3)/((x-1)(x+1)^2)	\int\:\frac{x^{2}+2x+3}{(x-1)(x+1)^{2}}dx
límite cuando x tiende a 0 de (sin(x))^2	\lim\:_{x\to\:0}((\sin(x))^{2})
derivada de 3+2/3 (1-x^{3/2})	\frac{d}{dx}(3+\frac{2}{3}(1-x)^{\frac{3}{2}})
integral de (sin(1/(x^7)))/(x^8)	\int\:\frac{\sin(\frac{1}{x^{7}})}{x^{8}}dx
integral de (sin^7(7x))/(cos^4(7x))	\int\:\frac{\sin^{7}(7x)}{\cos^{4}(7x)}dx
derivative ln(12x)	derivative\:\ln(12x)
derivada de sin((pix/5))	\frac{d}{dx}(\sin(\frac{πx}{5}))
derivative y=(6x)/(3-cot(x))	derivative\:y=\frac{6x}{3-\cot(x)}
derivada de tan^2(x/2)	\frac{d}{dx}(\tan^{2}(\frac{x}{2}))
derivada de (2x-5^2)	\frac{d}{dx}((2x-5)^{2})
integral de-6 a 6 de (2x+12)	\int\:_{-6}^{6}(2x+12)dx
integral de (x^3)/(2x-1)	\int\:\frac{x^{3}}{2x-1}dx
límite cuando x tiende a 0 de \|x\|^x	\lim\:_{x\to\:0}(\left\|x\right\|^{x})
límite cuando x tiende a 3-de 6/((x-3)^5)	\lim\:_{x\to\:3-}(\frac{6}{(x-3)^{5}})
serie de n=1 a infinity de 1/(n^4)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{4}}
área y=x^2,y=3-2x	area\:y=x^{2},y=3-2x
integral de (4x)/(x^4-16)	\int\:\frac{4x}{x^{4}-16}dx
derivative y=2cot(t)-e^{-t}	derivative\:y=2\cot(t)-e^{-t}
integral de ((1+sqrt(x))^3)/(sqrt(x))	\int\:\frac{(1+\sqrt{x})^{3}}{\sqrt{x}}dx
y^'=tan(t)y-5t,y(0)=3	y^{\prime\:}=\tan(t)y-5t,y(0)=3
(dy)/(dx)=(e^{7x})/(4y^3)	\frac{dy}{dx}=\frac{e^{7x}}{4y^{3}}
(\partial)/(\partial x)(x^{1/3}*y^{2/3})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{3}}\cdot\:y^{\frac{2}{3}})
derivative y=(ln(x))^4	derivative\:y=(\ln(x))^{4}
integral de (x^3)/((49-4x^2)^{3/2)}	\int\:\frac{x^{3}}{(49-4x^{2})^{\frac{3}{2}}}dx
integral de (1/(x^2)+\sqrt[3]{x})	\int\:(\frac{1}{x^{2}}+\sqrt[3]{x})dx
y^'=((5x^2+y^2))/(xy)	y^{\prime\:}=\frac{(5x^{2}+y^{2})}{xy}
integral de 0 a 1/2-x de 384xy	\int\:_{0}^{\frac{1}{2}-x}384xydy
integral de x(4x^2+7)^9	\int\:x(4x^{2}+7)^{9}dx
(dy)/(dx)= y/(1+x^2)	\frac{dy}{dx}=\frac{y}{1+x^{2}}
f^{''}(x)= 3/4 x^4+2x^3-12x^2+29	f^{\prime\:\prime\:}(x)=\frac{3}{4}x^{4}+2x^{3}-12x^{2}+29
integral de 1/(sqrt(x)*(2+\sqrt[4]{x))}	\int\:\frac{1}{\sqrt{x}\cdot\:(2+\sqrt[4]{x})}dx
(\partial)/(\partial y)(x+4y)	\frac{\partial\:}{\partial\:y}(x+4y)
derivative ((2x^2tan(x)))/(sec(x))	derivative\:\frac{(2x^{2}\tan(x))}{\sec(x)}
derivative f(x)=(ln(x))/(1+x)	derivative\:f(x)=\frac{\ln(x)}{1+x}
límite cuando x tiende a 0 de e^xcos(2x)	\lim\:_{x\to\:0}(e^{x}\cos(2x))
integral de ((3x(e^{-2x}-7x))/5)	\int\:(\frac{3x(e^{-2x}-7x)}{5})dx
límite cuando x tiende a infinity de (1/x)^{1/x+1}	\lim\:_{x\to\:\infty\:}((\frac{1}{x})^{\frac{1}{x}+1})
integral de 2 a e^3 de 1/x	\int\:_{2}^{e^{3}}\frac{1}{x}dx
derivative y=(2cos(sqrt(x)))/(x+1)	derivative\:y=\frac{2\cos(\sqrt{x})}{x+1}
integral de (x^3)/((x^2+1))	\int\:\frac{x^{3}}{(x^{2}+1)}dx
derivative e^{-3x^2}	derivative\:e^{-3x^{2}}
inversalaplace (-s)/(7s^2+26s+25)	inverselaplace\:\frac{-s}{7s^{2}+26s+25}
integral de (sqrt(x)-3)/(sqrt(x)+1)	\int\:\frac{\sqrt{x}-3}{\sqrt{x}+1}dx
derivada de sqrt(7x+3)	\frac{d}{dx}(\sqrt{7x+3})
taylor x^{-1/2}	taylor\:x^{-\frac{1}{2}}
límite cuando n tiende a infinity de (3n^{0.4+1}+7n)/(3n^{0.4)+7n}	\lim\:_{n\to\:\infty\:}(\frac{3n^{0.4+1}+7n}{3n^{0.4}+7n})
y^{''}+5y^'=e^{-t},y(0)=-0,y^'(0)=1	y^{\prime\:\prime\:}+5y^{\prime\:}=e^{-t},y(0)=-0,y^{\prime\:}(0)=1
integral de (-y)/(cot(x))	\int\:\frac{-y}{\cot(x)}dx
y^{''}+2y^'-24y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-24y=0
xy+y^'=76x	xy+y^{\prime\:}=76x
integral de sin(9x)	\int\:\sin(9x)dx
integral de 10/9 \sqrt[9]{x}	\int\:\frac{10}{9}\sqrt[9]{x}dx
integral de sin(4θ)	\int\:\sin(4θ)dθ
t^2y^{''}-t(t+2)y^'+(t+2)y=2t^3	t^{2}y^{\prime\:\prime\:}-t(t+2)y^{\prime\:}+(t+2)y=2t^{3}
límite cuando x tiende a infinity de 3/x+1	\lim\:_{x\to\:\infty\:}(\frac{3}{x}+1)
integral de ((5x+3))/(x^2-9)	\int\:\frac{(5x+3)}{x^{2}-9}dx
derivada de sqrt((x-1/(x^4+1)))	\frac{d}{dx}(\sqrt{\frac{x-1}{x^{4}+1}})
integral de e^{-x^4}	\int\:e^{-x^{4}}dx
(d^2)/(dx^2)(sqrt(x+12))	\frac{d^{2}}{dx^{2}}(\sqrt{x+12})
pendiente y=x-x^3,(1,0)	slope\:y=x-x^{3},(1,0)
(\partial)/(\partial x)(-2xyz^2+12)	\frac{\partial\:}{\partial\:x}(-2xyz^{2}+12)
derivative 2x^3-x^2+4	derivative\:2x^{3}-x^{2}+4
laplacetransformación 10sin(6t)	laplacetransform\:10\sin(6t)
integral de x/(x-x^2)	\int\:\frac{x}{x-x^{2}}dx
serie de k=2 a infinity de (1/3)^k	\sum\:_{k=2}^{\infty\:}(\frac{1}{3})^{k}
derivative y=arcsin(x)+sqrt(1-x^2)	derivative\:y=\arcsin(x)+\sqrt{1-x^{2}}
(\partial)/(\partial v)(uv-1)	\frac{\partial\:}{\partial\:v}(uv-1)
derivada de 4x+(64/x)	\frac{d}{dx}(4x+\frac{64}{x})
derivative f(x)=3x-9	derivative\:f(x)=3x-9
integral de (x^3+3)/(x^2+3x+2)	\int\:\frac{x^{3}+3}{x^{2}+3x+2}dx
tangent f(x)=(4x)/(x^2+1),(-1,-2)	tangent\:f(x)=\frac{4x}{x^{2}+1},(-1,-2)
límite cuando x tiende a 3 de (x^2-2x+1)/2	\lim\:_{x\to\:3}(\frac{x^{2}-2x+1}{2})
(3 y/x-8)dx+3dy=0	(3\frac{y}{x}-8)dx+3dy=0
derivative y= 1/(sin^2(x))	derivative\:y=\frac{1}{\sin^{2}(x)}
(dy)/(dx)=7xcos(x^2)	\frac{dy}{dx}=7x\cos(x^{2})
(dy)/(dx)=8y,y(6)=7	\frac{dy}{dx}=8y,y(6)=7
integral de (x+2)/(x+4)	\int\:\frac{x+2}{x+4}dx
derivative y=5x^3+25x^2-pi	derivative\:y=5x^{3}+25x^{2}-π
integral de 0 a 1 de 21 1/(x^p)	\int\:_{0}^{1}21\frac{1}{x^{p}}dx
integral de xe^{x^2}cos(x^2)	\int\:xe^{x^{2}}\cos(x^{2})dx
derivada de (1-2x/(3x^2))	\frac{d}{dx}(\frac{1-2x}{3x^{2}})
límite cuando x tiende a 1 de 2/(x^3-x)	\lim\:_{x\to\:1}(\frac{2}{x^{3}-x})
derivada de ((x+5/(x^2+2))^2)	\frac{d}{dx}((\frac{x+5}{x^{2}+2})^{2})
(d^2)/(dx^2)(e^{6/x})	\frac{d^{2}}{dx^{2}}(e^{\frac{6}{x}})
límite cuando x tiende a infinity de-3x^3+x	\lim\:_{x\to\:\infty\:}(-3x^{3}+x)
área y=0,y=3(x^3-x)	area\:y=0,y=3(x^{3}-x)
límite cuando x tiende a 0 de cos(x)	\lim\:_{x\to\:0}(\cos(x))
derivative-6x^{-2}	derivative\:-6x^{-2}
integral de-infinity a 0 de xe^{-2x}	\int\:_{-\infty\:}^{0}xe^{-2x}dx
derivada de (2e^x-4x-6/(5sin(x)-3))	\frac{d}{dx}(\frac{2e^{x}-4x-6}{5\sin(x)-3})
(\partial)/(\partial x)(ln(x)tan(y))	\frac{\partial\:}{\partial\:x}(\ln(x)\tan(y))
(\partial)/(\partial x)(1/x E(x))	\frac{\partial\:}{\partial\:x}(\frac{1}{x}E(x))
integral de 1/((4+9x^2) 5/2)	\int\:\frac{1}{(4+9x^{2})\frac{5}{2}}dx
integral de (sqrt(x))/3	\int\:\frac{\sqrt{x}}{3}dx
integral de [(4x-9)^6-2x]	\int\:[(4x-9)^{6}-2x]dx
integral de (3x)/(1+x^4)	\int\:\frac{3x}{1+x^{4}}dx
y^'+y^3=0,y(0)=3	y^{\prime\:}+y^{3}=0,y(0)=3
(\partial)/(\partial x)(x^3y^4z^2)	\frac{\partial\:}{\partial\:x}(x^{3}y^{4}z^{2})
tangent y=-(2x)/(x^2+1),(1,-1)	tangent\:y=-\frac{2x}{x^{2}+1},(1,-1)

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