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Problemas populares Cálculo

integral de (3x^3-1/(4x))	\int\:(3x^{3}-\frac{1}{4x})dx
integral de e^{x-2}	\int\:e^{x-2}dx
serie de n=0 a infinity de 9((1-3)/4)^n	\sum\:_{n=0}^{\infty\:}9(\frac{1-3}{4})^{n}
derivada de (3^x/(x^3))	\frac{d}{dx}(\frac{3^{x}}{x^{3}})
integral de 0 a 1 de (-x+2)-(x^2-1)	\int\:_{0}^{1}(-x+2)-(x^{2}-1)dx
integral de x^3e^x	\int\:x^{3}e^{x}dx
(x^3+y^3)dx+3xy^2dy=0	(x^{3}+y^{3})dx+3xy^{2}dy=0
derivada de (8x+7^2)	\frac{d}{dx}((8x+7)^{2})
integral de 1/(cos(3x))	\int\:\frac{1}{\cos(3x)}dx
tangent-9x^{1/2}+x^{3/2}	tangent\:-9x^{\frac{1}{2}}+x^{\frac{3}{2}}
slopeintercept (4,-8),(8,5)	slopeintercept\:(4,-8),(8,5)
derivada de sqrt(3x^4)	\frac{d}{dx}(\sqrt{3x^{4}})
límite cuando x tiende a 4 de (4-\|x\|)/(4+x)	\lim\:_{x\to\:4}(\frac{4-\left\|x\right\|}{4+x})
derivative f(x)= 1/2 (7t^2+t)^{-3}	derivative\:f(x)=\frac{1}{2}(7t^{2}+t)^{-3}
integral de-infinity a 0 de e^{2x}	\int\:_{-\infty\:}^{0}e^{2x}dx
(\partial)/(\partial x)(x^2+y^2-y^2x-8)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-y^{2}x-8)
integral de 2x-2/x	\int\:2x-\frac{2}{x}dx
(\partial)/(\partial y)(xarctan(y/z))	\frac{\partial\:}{\partial\:y}(x\arctan(\frac{y}{z}))
límite cuando x tiende a+(-3) de 2x+5	\lim\:_{x\to\:+(-3)}(2x+5)
derivative g(u)=sqrt(2)u+sqrt(3u)	derivative\:g(u)=\sqrt{2}u+\sqrt{3u}
límite cuando x tiende a 0 de-2x+1	\lim\:_{x\to\:0}(-2x+1)
derivada de (a^x/(ln(a)))	\frac{d}{dx}(\frac{a^{x}}{\ln(a)})
derivada de (e^x/((1+e^{2x))^{3/2}})	\frac{d}{dx}(\frac{e^{x}}{(1+e^{2x})^{\frac{3}{2}}})
integral de ((x^2-a^2)^{3/2})/x	\int\:\frac{(x^{2}-a^{2})^{\frac{3}{2}}}{x}dx
(dy)/(dt)= y/(t+1)+4t^2+4t,y(1)=12	\frac{dy}{dt}=\frac{y}{t+1}+4t^{2}+4t,y(1)=12
normal y=5x^8-3x^5+2,(0,4)	normal\:y=5x^{8}-3x^{5}+2,(0,4)
(x)(dy)/(dx)+y= 1/(y^2)	(x)\frac{dy}{dx}+y=\frac{1}{y^{2}}
derivative (x^2-9x+20)/((x+2)(x-2))	derivative\:\frac{x^{2}-9x+20}{(x+2)(x-2)}
integral de 20x^{3/2}	\int\:20x^{\frac{3}{2}}dx
inverselaplace 2/(2s-1)	inverselaplace\:\frac{2}{2s-1}
derivada de 5^{-x/2}	\frac{d}{dx}(5^{-\frac{x}{2}})
derivative 2*sqrt(x)	derivative\:2\cdot\:\sqrt{x}
límite cuando x tiende a 8 de 7(8x+5)^3	\lim\:_{x\to\:8}(7(8x+5)^{3})
integral de 1 a 3 de 3	\int\:_{1}^{3}3dx
integral de 0 a e de 1/x	\int\:_{0}^{e}\frac{1}{x}dx
integral de 0 a pi/3 de sin(2x)	\int\:_{0}^{\frac{π}{3}}\sin(2x)dx
derivada de ln((e^x-1/(e^{x+1)}))	\frac{d}{dx}(\ln(\frac{e^{x}-1}{e^{x+1}}))
integral de 0 a 2 de (x-7)^2	\int\:_{0}^{2}(x-7)^{2}dx
integral de \sqrt[3]{ax}	\int\:\sqrt[3]{ax}dx
límite cuando x tiende a 3-de 1/(x^2-9)	\lim\:_{x\to\:3-}(\frac{1}{x^{2}-9})
límite cuando x tiende a 2 de (4-x^2)/x	\lim\:_{x\to\:2}(\frac{4-x^{2}}{x})
tangent y=x+sqrt(x),(16,20)	tangent\:y=x+\sqrt{x},(16,20)
(dy)/(dx)+e^xy=1	\frac{dy}{dx}+e^{x}y=1
derivative h(t)=(t^4-1)^9(t^3+1)^6	derivative\:h(t)=(t^{4}-1)^{9}(t^{3}+1)^{6}
serie de n=1 a infinity de 2+7n	\sum\:_{n=1}^{\infty\:}2+7n
(\partial)/(\partial x)(-1/2 ln(x/a))	\frac{\partial\:}{\partial\:x}(-\frac{1}{2}\ln(\frac{x}{a}))
tangent f(x)=sqrt(x)(x-8),\at x=16	tangent\:f(x)=\sqrt{x}(x-8),\at\:x=16
integral de 0 a 3 de 6y-2y^2	\int\:_{0}^{3}6y-2y^{2}dy
taylor ln(2+x)	taylor\:\ln(2+x)
derivative-x+tan(x)	derivative\:-x+\tan(x)
derivative cos((1-e^{7x})/(1+e^{7x)})	derivative\:\cos(\frac{1-e^{7x}}{1+e^{7x}})
(\partial)/(\partial x)(zx^2)	\frac{\partial\:}{\partial\:x}(zx^{2})
tangent f(x)= x/(x+100),\at x=50	tangent\:f(x)=\frac{x}{x+100},\at\:x=50
derivada de (sqrt(x)-5/(sqrt(x)+1))	\frac{d}{dx}(\frac{\sqrt{x}-5}{\sqrt{x}+1})
integral de tan(x)*sec(x)	\int\:\tan(x)\cdot\:\sec(x)dx
integral de (2x)/((1+x^2))	\int\:\frac{2x}{(1+x^{2})}dx
tangent x^4-x^5y^2=-3,(1,2)	tangent\:x^{4}-x^{5}y^{2}=-3,(1,2)
derivada de-(21/(x^4))	\frac{d}{dx}(-\frac{21}{x^{4}})
integral de x^2*ln(x)	\int\:x^{2}\cdot\:\ln(x)dx
integral de 1/(y-1)	\int\:\frac{1}{y-1}dy
límite cuando h tiende a 0 de (10^h-1)/h	\lim\:_{h\to\:0}(\frac{10^{h}-1}{h})
derivative 8/((8-x^4)^{3/2)}	derivative\:\frac{8}{(8-x^{4})^{\frac{3}{2}}}
derivada de 33arctan(sqrt(x))	\frac{d}{dx}(33\arctan(\sqrt{x}))
derivada de (x^3-1^2)	\frac{d}{dx}((x^{3}-1)^{2})
(\partial)/(\partial y)(8)	\frac{\partial\:}{\partial\:y}(8)
derivada de ln((9x/(x^2+15)))	\frac{d}{dx}(\ln(\frac{9x}{x^{2}+15}))
derivada de (cos(x)/(x^7))	\frac{d}{dx}(\frac{\cos(x)}{x^{7}})
derivada de (5x-4^3)	\frac{d}{dx}((5x-4)^{3})
integral de sqrt(x-4)	\int\:\sqrt{x-4}dx
integral de e^{-x}*x^{-1}	\int\:e^{-x}\cdot\:x^{-1}dx
derivada de 1/(sqrt(9+x^2))	\frac{d}{dx}(\frac{1}{\sqrt{9+x^{2}}})
derivada de xye^{xy}	\frac{d}{dx}(xye^{xy})
(\partial)/(\partial x)(5y-x^3y^2)	\frac{\partial\:}{\partial\:x}(5y-x^{3}y^{2})
derivada de 5x^2sin(x-x)	\frac{d}{dx}(5x^{2}\sin(x)-x)
derivada de cos(sqrt(7))	\frac{d}{dx}(\cos(\sqrt{7}))
xy^'+y=-4xy^2	xy^{\prime\:}+y=-4xy^{2}
límite cuando x tiende a 3-de (4-x)/(x-3)	\lim\:_{x\to\:3-}(\frac{4-x}{x-3})
integral de 0 a 10 de sqrt(1+x)	\int\:_{0}^{10}\sqrt{1+x}dx
integral de-infinity a 0 de 1/(6-5x)	\int\:_{-\infty\:}^{0}\frac{1}{6-5x}dx
x^2*(dy)/(dx)=y-xy	x^{2}\cdot\:\frac{dy}{dx}=y-xy
integral de (x^2y)	\int\:(x^{2}y)dy
y^{''}+4y=xe^x	y^{\prime\:\prime\:}+4y=xe^{x}
y^{''}-0.2y^'+0.01y=0,y(0)=14,y^'(0)=b	y^{\prime\:\prime\:}-0.2y^{\prime\:}+0.01y=0,y(0)=14,y^{\prime\:}(0)=b
integral de sin(3θ)cos(5θ)	\int\:\sin(3θ)\cos(5θ)dθ
laplacetransform 2(t-2)^2+7(t-2)+9	laplacetransform\:2(t-2)^{2}+7(t-2)+9
derivada de sin(2x^3+x^2+1)	\frac{d}{dx}(\sin(2x^{3}+x^{2}+1))
límite cuando x tiende a 0 de (ax-aln(x+1))/(xln(x+1))	\lim\:_{x\to\:0}(\frac{ax-a\ln(x+1)}{x\ln(x+1)})
integral de 2 a 10 de 1/x	\int\:_{2}^{10}\frac{1}{x}dx
derivada de xe^{(2x})	\frac{d}{dx}(xe^{(2x)})
(\partial)/(\partial x)(9sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(9\sqrt{x^{2}+y^{2}})
serie de n=1 a infinity de (n+5)/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{n+5}{5^{n}}
integral de 0 a 1 de (x^6)/(x^7-1)	\int\:_{0}^{1}\frac{x^{6}}{x^{7}-1}dx
integral de 3/(1+x^2)	\int\:\frac{3}{1+x^{2}}dx
y^{''}+y=4xsin(x)	y^{\prime\:\prime\:}+y=4x\sin(x)
y^{''}=-4*y	y^{\prime\:\prime\:}=-4\cdot\:y
integral de 1/(16e^{-3x)+e^{3x}}	\int\:\frac{1}{16e^{-3x}+e^{3x}}dx
y=xe^x	y=xe^{x}
(d^2)/(dx^2)((x^2+4)^7)	\frac{d^{2}}{dx^{2}}((x^{2}+4)^{7})
integral de (-x)/(x^2+1)	\int\:\frac{-x}{x^{2}+1}dx
derivada de 2x^2-5x+3	\frac{d}{dx}(2x^{2}-5x+3)

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