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Problemas populares

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Problemas populares de Cálculo

integral de (x^2)/(x^4-20x^2-125)	\int\:\frac{x^{2}}{x^{4}-20x^{2}-125}dx
derivada de 5*4^x	\frac{d}{dx}(5\cdot\:4^{x})
derivada de log_{4}(x(2^{3x}+e^{x^4})^{-2})	\frac{d}{dx}(\log_{4}(x)(2^{3x}+e^{x^{4}})^{-2})
integral de e^{(a-b)x}	\int\:e^{(a-b)x}dx
(\partial)/(\partial x)(y/x)	\frac{\partial\:}{\partial\:x}(\frac{y}{x})
integral de 1/(sqrt(20-x^2))	\int\:\frac{1}{\sqrt{20-x^{2}}}dx
integral de (2sqrt(ln^2(x)+16))/x	\int\:\frac{2\sqrt{\ln^{2}(x)+16}}{x}dx
d/(dy)(2)	\frac{d}{dy}(2)
(\partial)/(\partial x)(nyln(nx))	\frac{\partial\:}{\partial\:x}(ny\ln(nx))
integral de 4t+2	\int\:4t+2dt
(\partial)/(\partial x)(ln(3x+x^2y^2))	\frac{\partial\:}{\partial\:x}(\ln(3x+x^{2}y^{2}))
(\partial)/(\partial x)(1-4/y+x)	\frac{\partial\:}{\partial\:x}(1-\frac{4}{y}+x)
derivative θ	derivative\:θ
(\partial)/(\partial y)(2z^2sin(y))	\frac{\partial\:}{\partial\:y}(2z^{2}\sin(y))
inversalaplace e^s	inverselaplace\:e^{s}
área 2cos(7x),sin(14x)	area\:2\cos(7x),\sin(14x)
derivative 500q-(q^2)/(ln(q+300))	derivative\:500q-\frac{q^{2}}{\ln(q+300)}
(x+2y)dx+xdy=0	(x+2y)dx+xdy=0
límite cuando x tiende a-2 de 1+2/(x+2)	\lim\:_{x\to\:-2}(1+\frac{2}{x+2})
(dy)/(dt)=0.17y+200	\frac{dy}{dt}=0.17y+200
integral de 0 a 1 de y/(e^{6y)}	\int\:_{0}^{1}\frac{y}{e^{6y}}dy
y^'=e^{4y}(sin(5x))	y^{\prime\:}=e^{4y}(\sin(5x))
integral de 1/(xsqrt(4-(ln(x))^2))	\int\:\frac{1}{x\sqrt{4-(\ln(x))^{2}}}dx
área y=12-x^2,y=-4x+0,[3,8]	area\:y=12-x^{2},y=-4x+0,[3,8]
derivada de e^{1+x}	\frac{d}{dx}(e^{1+x})
integral de sec(2x)tan^5(2x)	\int\:\sec(2x)\tan^{5}(2x)dx
integral de (e^{xy})	\int\:(e^{xy})dy
(1/(tan(x)))^'	(\frac{1}{\tan(x)})^{\prime\:}
derivative log_{5}(5x^3+2x+5)	derivative\:\log_{5}(5x^{3}+2x+5)
y^'=tan(t)y-5t	y^{\prime\:}=\tan(t)y-5t
área 2916sqrt(x),108x^2	area\:2916\sqrt{x},108x^{2}
derivada de (4x^{4x})	\frac{d}{dx}((4x)^{4x})
(\partial)/(\partial x)(sin(5x)cos(5y))	\frac{\partial\:}{\partial\:x}(\sin(5x)\cos(5y))
derivada de (x^3/(cos(x)))	\frac{d}{dx}(\frac{x^{3}}{\cos(x)})
inversalaplace (e^{(-2s)})/s	inverselaplace\:\frac{e^{(-2s)}}{s}
integral de 1/(25e^{-7x)+e^{7x}}	\int\:\frac{1}{25e^{-7x}+e^{7x}}dx
(\partial ^2)/(\partial x\partial y)(ln(x^2+y^3))	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(\ln(x^{2}+y^{3}))
y^{''}+36y=0,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+36y=0,y(0)=0,y^{\prime\:}(0)=1
derivative 2-3x	derivative\:2-3x
integral de 4-y^2	\int\:4-y^{2}dy
serie de n=1 a infinity de (-1^n)/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{-1^{n}}{n^{5}}
integral de (2(1+x))/(x(2+x))	\int\:\frac{2(1+x)}{x(2+x)}dx
integral de 0 a infinity de e^{-x/3}	\int\:_{0}^{\infty\:}e^{-\frac{x}{3}}dx
derivada de sqrt(csc(3e^x))	\frac{d}{dx}(\sqrt{\csc(3e^{x})})
derivada de e^xx^e	\frac{d}{dx}(e^{x}x^{e})
derivada de 3^{sin(x^3})	\frac{d}{dx}(3^{\sin(x^{3})})
integral de x^5*e^x	\int\:x^{5}\cdot\:e^{x}dx
integral de (t+1)/t	\int\:\frac{t+1}{t}dt
límite cuando (x,y) tiende a (0,0) de (x^2+y^2)ln(x^2+y^2)	\lim\:_{(x,y)\to\:(0,0)}((x^{2}+y^{2})\ln(x^{2}+y^{2}))
pendiente y=4x-x^2	slope\:y=4x-x^{2}
derivative x+7sqrt(x)	derivative\:x+7\sqrt{x}
integral de x^2+6x+1	\int\:x^{2}+6x+1dx
derivada de x/3 (2x+1^3)	\frac{d}{dx}(\frac{x}{3}(2x+1)^{3})
integral de (3^x)/(3^x+2)	\int\:\frac{3^{x}}{3^{x}+2}dx
límite cuando x tiende a 0 de 1/(e^{1/x)}	\lim\:_{x\to\:0}(\frac{1}{e^{\frac{1}{x}}})
(\partial)/(\partial z)(x/z)	\frac{\partial\:}{\partial\:z}(\frac{x}{z})
derivative g(x)=ln(xe^{-7x})	derivative\:g(x)=\ln(xe^{-7x})
(\partial)/(\partial y)(x^2y^{1/3})	\frac{\partial\:}{\partial\:y}(x^{2}y^{\frac{1}{3}})
integral de u/(sqrt(u^2+1))	\int\:\frac{u}{\sqrt{u^{2}+1}}du
límite cuando x tiende a 0 de (ln(\frac{1+x)/(1-x))-2x}{x-sin(x)}	\lim\:_{x\to\:0}(\frac{\ln(\frac{1+x}{1-x})-2x}{x-\sin(x)})
integral de xsqrt(x^4+1)	\int\:x\sqrt{x^{4}+1}dx
tangent f(x)=6x-x^2,\at x=0	tangent\:f(x)=6x-x^{2},\at\:x=0
derivative f(t)=80t+t^2-1/48 t^3	derivative\:f(t)=80t+t^{2}-\frac{1}{48}t^{3}
área-4x+x^2+10,12-5x,4x-6	area\:-4x+x^{2}+10,12-5x,4x-6
integral de 1 a 16 de 8/(sqrt(x))	\int\:_{1}^{16}\frac{8}{\sqrt{x}}dx
derivada de (2+3x(3-2x))	\frac{d}{dx}((2+3x)(3-2x))
derivative f(x)=e^{-4x}	derivative\:f(x)=e^{-4x}
derivada de (14x+8x^2/((7+8x)^2))	\frac{d}{dx}(\frac{14x+8x^{2}}{(7+8x)^{2}})
límite cuando x tiende a-2 de x/(x^2+4)	\lim\:_{x\to\:-2}(\frac{x}{x^{2}+4})
integral de e^{x^2} x/3	\int\:e^{x^{2}}\frac{x}{3}dx
serie de n=0 a infinity de 2*5^n	\sum\:_{n=0}^{\infty\:}2\cdot\:5^{n}
y^'= y/a-1	y^{\prime\:}=\frac{y}{a}-1
límite cuando x tiende a 3 de 2sqrt(3x)	\lim\:_{x\to\:3}(2\sqrt{3x})
integral de 5e^x+3sin(x)	\int\:5e^{x}+3\sin(x)dx
integral de 1/(xsqrt(4x^2+49))	\int\:\frac{1}{x\sqrt{4x^{2}+49}}dx
pendiente (7,-2),(-7,2)	slope\:(7,-2),(-7,2)
derivada de-27e^{-3x}	\frac{d}{dx}(-27e^{-3x})
derivative f(x)= 1/2 x^2\sqrt[3]{x}	derivative\:f(x)=\frac{1}{2}x^{2}\sqrt[3]{x}
serie de n=0 a infinity de 5(4x^2)^n	\sum\:_{n=0}^{\infty\:}5(4x^{2})^{n}
derivada de e^{-0.01x}	\frac{d}{dx}(e^{-0.01x})
serie de n=1 a infinity de 1/(n^{1/n)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{1}{n}}}
serie de n=0 a infinity}(-1)^{n+2}t^{2n de(1/(n!))	\sum\:_{n=0}^{\infty\:}(-1)^{n+2}\cdot\:t^{2n}\cdot\:(\frac{1}{n!})
integral de-11 a 0 de 1/(sqrt(25-x))	\int\:_{-11}^{0}\frac{1}{\sqrt{25-x}}dx
integral de 12t	\int\:12tdt
derivative 2^{(5x)}	derivative\:2^{(5x)}
derivada de (x-2^3)	\frac{d}{dx}((x-2)^{3})
inversalaplace-1/(s^2)e^{-5s}+1/(s^2)	inverselaplace\:-\frac{1}{s^{2}}e^{-5s}+\frac{1}{s^{2}}
integral de (3x^2-8x-9)/(x^3-4x^2-9x+36)	\int\:\frac{3x^{2}-8x-9}{x^{3}-4x^{2}-9x+36}dx
límite cuando x tiende a infinity de 15^x	\lim\:_{x\to\:\infty\:}(15^{x})
integral de (3x^2-5x)^3(6x-5)	\int\:(3x^{2}-5x)^{3}(6x-5)dx
y(9-y)-81/4 =(dy)/(dt),y(0)=4	y(9-y)-\frac{81}{4}=\frac{dy}{dt},y(0)=4
límite cuando x tiende a infinity de 1.2^x	\lim\:_{x\to\:\infty\:}(1.2^{x})
límite cuando x tiende a 0 de 2/(1+e^{1/x)}	\lim\:_{x\to\:0}(\frac{2}{1+e^{\frac{1}{x}}})
t(dy)/(dt)=t^3+14t^3y	t\frac{dy}{dt}=t^{3}+14t^{3}y
derivada de-y/(x^2+y^2+1)	\frac{d}{dx}(-\frac{y}{x^{2}+y^{2}+1})
derivative (1-ln(x))/(2x^2)	derivative\:\frac{1-\ln(x)}{2x^{2}}
límite cuando x tiende a 1+de (x-1)^{x-1}	\lim\:_{x\to\:1+}((x-1)^{x-1})
inversalaplace 1/(s^2+6s+10)	inverselaplace\:\frac{1}{s^{2}+6s+10}
(\partial)/(\partial y)(-2y)	\frac{\partial\:}{\partial\:y}(-2y)
derivative y=2x+3	derivative\:y=2x+3

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