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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial x)((3t)/(2s))	\frac{\partial\:}{\partial\:x}(\frac{3t}{2s})
integral de (cosh(x))/(sinh^2(x))	\int\:\frac{\cosh(x)}{\sinh^{2}(x)}dx
derivative (x^3+2x)e^x	derivative\:(x^{3}+2x)e^{x}
integral de e^y2^{e^y}3^{e^y}	\int\:e^{y}2^{e^{y}}3^{e^{y}}dy
derivada de (x-2^{-1})	\frac{d}{dx}((x-2)^{-1})
derivative x^2-6x+3	derivative\:x^{2}-6x+3
tangent f(x)=ln(x^2-3x+1),(3,0)	tangent\:f(x)=\ln(x^{2}-3x+1),(3,0)
integral de-5 a 0 de (y/5+sqrt(y+6))	\int\:_{-5}^{0}(\frac{y}{5}+\sqrt{y+6})dy
implicit (dy)/(dx),xy=84	implicit\:\frac{dy}{dx},xy=84
límite cuando x tiende a 2 de 2x^2+5x+2	\lim\:_{x\to\:2}(2x^{2}+5x+2)
derivada de e^{-sin(x})	\frac{d}{dx}(e^{-\sin(x)})
integral de ((sqrt(x)-5)^2)/(x^3)	\int\:\frac{(\sqrt{x}-5)^{2}}{x^{3}}dx
derivada de 1/(x-(x^2-1^{1/2)})	\frac{d}{dx}(\frac{1}{x-(x^{2}-1)^{\frac{1}{2}}})
derivative f(x)=1100(sqrt(x^2-0.2x))	derivative\:f(x)=1100(\sqrt{x^{2}-0.2x})
área 3x^2+6,y=6.4,y=8.1	area\:3x^{2}+6,y=6.4,y=8.1
tangent y=-2sin(x),\at x= 3/4 pi	tangent\:y=-2\sin(x),\at\:x=\frac{3}{4}π
derivada de (cos(x)/(1+cos(x)))	\frac{d}{dx}(\frac{\cos(x)}{1+\cos(x)})
serie de n=0 a infinity de (4n)/(-4n+7)	\sum\:_{n=0}^{\infty\:}\frac{4n}{-4n+7}
área 3x-1,x^2+1,1,2	area\:3x-1,x^{2}+1,1,2
derivative f(x)=30+10e^{-0.05x}	derivative\:f(x)=30+10e^{-0.05x}
laplacetransformación cos^2(t)	laplacetransform\:\cos^{2}(t)
(\partial)/(\partial x)(7e^{xy}*cos(xyz))	\frac{\partial\:}{\partial\:x}(7e^{xy}\cdot\:\cos(xyz))
límite cuando x tiende a 0 de (f(x))/x	\lim\:_{x\to\:0}(\frac{f(x)}{x})
(dy)/(dx)=y(1000-y)	\frac{dy}{dx}=y(1000-y)
tangent y=5e^{-x},(0,5)	tangent\:y=5e^{-x},(0,5)
inversalaplace 2/((s^2-3))-3 s/((s^2-3))	inverselaplace\:\frac{2}{(s^{2}-3)}-3\frac{s}{(s^{2}-3)}
integral de ((20)/(1+x^2))	\int\:(\frac{20}{1+x^{2}})dx
derivative (8u^2)/((u^2+u)^3)	derivative\:\frac{8u^{2}}{(u^{2}+u)^{3}}
derivative log_{2}(3x-4)	derivative\:\log_{2}(3x-4)
límite cuando x tiende a 4 de (x-2)/(x+6)	\lim\:_{x\to\:4}(\frac{x-2}{x+6})
derivative (x/8)^2	derivative\:(\frac{x}{8})^{2}
integral de x/2 cos(x^2)	\int\:\frac{x}{2}\cos(x^{2})dx
y^{''}+y=sin^2(x)	y^{\prime\:\prime\:}+y=\sin^{2}(x)
límite cuando x tiende a-4-de \|5x+10\|	\lim\:_{x\to\:-4-}(\left\|5x+10\right\|)
derivative (-30)/(x^6)+2/(x^2)	derivative\:\frac{-30}{x^{6}}+\frac{2}{x^{2}}
derivada de e^x+2e^{-x}	\frac{d}{dx}(e^{x}+2e^{-x})
área sin(x),cos(x),[0,2pi]	area\:\sin(x),\cos(x),[0,2π]
integral de 1/(x\sqrt[3]{1+x^5)}	\int\:\frac{1}{x\sqrt[3]{1+x^{5}}}dx
(x^2+y)+(x+e^y)(dy)/(dx)=0	(x^{2}+y)+(x+e^{y})\frac{dy}{dx}=0
integral de (3y^2+1)/(y^3+y)	\int\:\frac{3y^{2}+1}{y^{3}+y}dy
integral de sin^3(x)	\int\:\sin^{3}(x)dx
límite cuando x tiende a-2 de sqrt(x(x-1))	\lim\:_{x\to\:-2}(\sqrt{x(x-1)})
derivative (2000x)/(4x+75)	derivative\:\frac{2000x}{4x+75}
integral de sqrt(y+1)	\int\:\sqrt{y+1}dy
área 9cos(x),7sin(x),0,pi	area\:9\cos(x),7\sin(x),0,π
derivada de x^2e^x-2xe^x+9e^x	\frac{d}{dx}(x^{2}e^{x}-2xe^{x}+9e^{x})
inversalaplace (100)/(s(s+10)^2)	inverselaplace\:\frac{100}{s(s+10)^{2}}
tangent y= 4/(sqrt(x))	tangent\:y=\frac{4}{\sqrt{x}}
límite cuando x tiende a 2pi de f(x)	\lim\:_{x\to\:2π}(f(x))
límite cuando x tiende a-4 de+(x^2+10x+8)	\lim\:_{x\to\:-4}(+(x^{2}+10x+8))
d/(dy)(1-e^y)	\frac{d}{dy}(1-e^{y})
integral de (10-(14-2sqrt(16-2x)))	\int\:(10-(14-2\sqrt{16-2x}))dx
derivada de (4-4x-x^2/(x^2-6))	\frac{d}{dx}(\frac{4-4x-x^{2}}{x^{2}-6})
derivative (2x+1)/((x^2+1)^{1.5)}	derivative\:\frac{2x+1}{(x^{2}+1)^{1.5}}
límite cuando x tiende a 0 de e^{1/(x^2)}	\lim\:_{x\to\:0}(e^{\frac{1}{x^{2}}})
límite cuando x tiende a 0-de x^2-64	\lim\:_{x\to\:0-}(x^{2}-64)
límite cuando x tiende a 0 de 3x+6sqrt(x)	\lim\:_{x\to\:0}(3x+6\sqrt{x})
derivada de 8-x^3	\frac{d}{dx}(8-x^{3})
tangent f(x)= 3/x ,\at x=-2	tangent\:f(x)=\frac{3}{x},\at\:x=-2
serie de k=1 a infinity de (x^k)/(k3^k)	\sum\:_{k=1}^{\infty\:}\frac{x^{k}}{k3^{k}}
integral de (x^2-5)^22x	\int\:(x^{2}-5)^{2}2xdx
7xy^'=2xe^x-7y+6x^2	7xy^{\prime\:}=2xe^{x}-7y+6x^{2}
(\partial)/(\partial x)(sqrt(2x))	\frac{\partial\:}{\partial\:x}(\sqrt{2x})
(\partial)/(\partial x)(7x(sin(3x^2y)))	\frac{\partial\:}{\partial\:x}(7x(\sin(3x^{2}y)))
integral de-1/(6-x)	\int\:-\frac{1}{6-x}dx
límite cuando x tiende a infinity de 10000	\lim\:_{x\to\:\infty\:}(10000)
integral de 0 a pi/8 de sin(8x)	\int\:_{0}^{\frac{π}{8}}\sin(8x)dx
(d^2)/(dx^2)(2x^{3/2})	\frac{d^{2}}{dx^{2}}(2x^{\frac{3}{2}})
límite cuando x tiende a-41 de 39+x	\lim\:_{x\to\:-41}(39+x)
integral de (1/(x^3)-x^3-1/8)	\int\:(\frac{1}{x^{3}}-x^{3}-\frac{1}{8})dx
(\partial)/(\partial x)(x*ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(x\cdot\:\ln(x^{2}+y^{2}))
x^3(dy)/(dx)-x^2y-y^3=0	x^{3}\frac{dy}{dx}-x^{2}y-y^{3}=0
derivada de 5/(1-9x)	\frac{d}{dx}(\frac{5}{1-9x})
derivative cos(x^2-5)	derivative\:\cos(x^{2}-5)
(d^2)/(dx^2)(x^3y^2-2x^2y+3x)	\frac{d^{2}}{dx^{2}}(x^{3}y^{2}-2x^{2}y+3x)
derivative sqrt(x/4)	derivative\:\sqrt{\frac{x}{4}}
derivada de 9x^3-4y^2+2xy	\frac{d}{dx}(9x^{3}-4y^{2}+2xy)
(\partial)/(\partial x)(-y^2x)	\frac{\partial\:}{\partial\:x}(-y^{2}x)
integral de 10^x	\int\:10^{x}dx
(\partial)/(\partial x)(2x^2-x^2y^3+y^2)	\frac{\partial\:}{\partial\:x}(2x^{2}-x^{2}y^{3}+y^{2})
integral de-1 a 1 de (e^x)/(e^x-1)	\int\:_{-1}^{1}\frac{e^{x}}{e^{x}-1}dx
derivada de ln((2x+3/(2x-3)))	\frac{d}{dx}(\ln(\frac{2x+3}{2x-3}))
derivada de e^{x^3+5}	\frac{d}{dx}(e^{x^{3}+5})
integral de x^{-4}	\int\:x^{-4}dx
derivative (x^2+1)/(x^3-1)	derivative\:\frac{x^{2}+1}{x^{3}-1}
x^2y^{''}-xy^'+y=2x	x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}+y=2x
derivada de x+sqrt(x)+3	\frac{d}{dx}(x+\sqrt{x}+3)
integral de 3 a 7 de xsqrt(x-3)	\int\:_{3}^{7}x\sqrt{x-3}dx
derivative 1/2 ln((1+x)/(1-x))	derivative\:\frac{1}{2}\ln(\frac{1+x}{1-x})
integral de 1.8^{0.045x}-1	\int\:1.8^{0.045x}-1dx
derivada de e^{cos^2(x})	\frac{d}{dx}(e^{\cos^{2}(x)})
integral de 1/((36+x^2)^2)	\int\:\frac{1}{(36+x^{2})^{2}}dx
derivada de 5ln(x+cos(x))	\frac{d}{dx}(5\ln(x)+\cos(x))
integral de sec(t)(8sec(t)+9tan(t))	\int\:\sec(t)(8\sec(t)+9\tan(t))dt
límite cuando x tiende a 1 de 2x^2+3x+1	\lim\:_{x\to\:1}(2x^{2}+3x+1)
integral de 5 a 9 de x/(x^2-10x+41)	\int\:_{5}^{9}\frac{x}{x^{2}-10x+41}dx
derivative f(x)=2t^{-1/4}	derivative\:f(x)=2t^{-\frac{1}{4}}
derivative sin(5ln(x))	derivative\:\sin(5\ln(x))
tangent f(x)=(2x)/(x^2+1),\at x=0	tangent\:f(x)=\frac{2x}{x^{2}+1},\at\:x=0
límite cuando x tiende a infinity de-7x	\lim\:_{x\to\:\infty\:}(-7x)

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