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Problemas populares Cálculo

derivada de ax^n+cy(x^n)	\frac{d}{dx}(ax^{n}+cy(x)^{n})
derivative x/(3sqrt(1+x^2))	derivative\:\frac{x}{3\sqrt{1+x^{2}}}
derivative (6x)/(7-tan(x))	derivative\:\frac{6x}{7-\tan(x)}
derivative-x^2+260x	derivative\:-x^{2}+260x
integral de 1/((x-2)(x-3)(x-4))	\int\:\frac{1}{(x-2)(x-3)(x-4)}dx
límite cuando x tiende a 2 de 5/((x-2)^2)	\lim\:_{x\to\:2}(\frac{5}{(x-2)^{2}})
(\partial}{\partial s}(\frac{s-3r)/t)	\frac{\partial\:}{\partial\:s}(\frac{s-3r}{t})
(\partial)/(\partial x)(y(1-x^2))	\frac{\partial\:}{\partial\:x}(y(1-x^{2}))
límite cuando x tiende a 2+de 9-x^2	\lim\:_{x\to\:2+}(9-x^{2})
integral de 1 a 2 de ln(3)x^2	\int\:_{1}^{2}\ln(3)x^{2}dx
(dy)/(dx)=(x-4)/(y+3)	\frac{dy}{dx}=\frac{x-4}{y+3}
integral de x/((x^2+x+1))	\int\:\frac{x}{(x^{2}+x+1)}dx
límite cuando x tiende a 1 de (x^2-1)/(1-x)	\lim\:_{x\to\:1}(\frac{x^{2}-1}{1-x})
taylor 1/(x-1),20	taylor\:\frac{1}{x-1},20
derivative f(x)=e^7	derivative\:f(x)=e^{7}
integral de tan(x)*sec^3(x)	\int\:\tan(x)\cdot\:\sec^{3}(x)dx
integral de e^{cos(x)}sin(2x)	\int\:e^{\cos(x)}\sin(2x)dx
derivada de sinh^3(xsin^2(x))	\frac{d}{dx}(\sinh^{3}(x)\sin^{2}(x))
derivative f(x)=2cos(x)+cos^2(x)	derivative\:f(x)=2\cos(x)+\cos^{2}(x)
integral de (ln^2(x))/(x^2)	\int\:\frac{\ln^{2}(x)}{x^{2}}dx
límite cuando n tiende a 1 de 3-7/(4^n)	\lim\:_{n\to\:1}(3-\frac{7}{4^{n}})
(\partial)/(\partial x)(xy^{10}+x^2+y^4)	\frac{\partial\:}{\partial\:x}(xy^{10}+x^{2}+y^{4})
integral de (e^{3x}+1)	\int\:(e^{3x}+1)dx
integral de x^2cos(y)+3y^2e^x	\int\:x^{2}\cos(y)+3y^{2}e^{x}dy
derivative e^{x^8}	derivative\:e^{x^{8}}
integral de x/(sqrt(x+1))	\int\:\frac{x}{\sqrt{x+1}}dx
integral de 3e^{x^3}	\int\:3e^{x^{3}}dx
integral de 0 a x de xe^{-x}	\int\:_{0}^{x}xe^{-x}dx
tangent f(x)= x/((3x-8)^6),\at x=3	tangent\:f(x)=\frac{x}{(3x-8)^{6}},\at\:x=3
derivada de (5-2x^5)	\frac{d}{dx}((5-2x)^{5})
f(t)=t+4	f(t)=t+4
límite cuando x tiende a 0+de (x^2)/6-5/x	\lim\:_{x\to\:0+}(\frac{x^{2}}{6}-\frac{5}{x})
(\partial)/(\partial x)(1/(x^3))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{3}})
derivada de 5^{cos(x})	\frac{d}{dx}(5^{\cos(x)})
derivada de (3x^2-2x^3)	\frac{d}{dx}((3x^{2}-2x)^{3})
límite cuando x tiende a 8/9 de x^4	\lim\:_{x\to\:\frac{8}{9}}(x^{4})
f(t)=5cos(t)	f(t)=5\cos(t)
(dy)/(dx)=8x(6y+5)^{1/2}	\frac{dy}{dx}=8x(6y+5)^{\frac{1}{2}}
integral de (-38y+25)/(-y(7y-5))	\int\:\frac{-38y+25}{-y(7y-5)}dy
integral de y+z	\int\:y+zdx
(d^4)/(dx^4)(18e^{x^2})	\frac{d^{4}}{dx^{4}}(18e^{x^{2}})
límite cuando x tiende a infinity de 2^x-1	\lim\:_{x\to\:\infty\:}(2^{x}-1)
derivada de 4e^{-x^4}	\frac{d}{dx}(4e^{-x^{4}})
integral de w^2ln(w^6-1)	\int\:w^{2}\ln(w^{6}-1)dw
integral de (1-y^2)/(3y)	\int\:\frac{1-y^{2}}{3y}dy
y^{''}+y=x^2+1	y^{\prime\:\prime\:}+y=x^{2}+1
integral de 8/(x^4+4)	\int\:\frac{8}{x^{4}+4}dx
integral de 0 a 1 de xe^{-x}	\int\:_{0}^{1}xe^{-x}dx
integral de e^{-2x}+2/(7sqrt(x))	\int\:e^{-2x}+\frac{2}{7\sqrt{x}}dx
integral de (ln(5x)+5)/x	\int\:\frac{\ln(5x)+5}{x}dx
integral de 7 a 9 de 1/(x^2-1)	\int\:_{7}^{9}\frac{1}{x^{2}-1}dx
derivada de x^3+x^2+6/x	\frac{d}{dx}(x^{3}+x^{2}+\frac{6}{x})
derivada de (x^2-1/x)	\frac{d}{dx}(\frac{x^{2}-1}{x})
derivada de x^2sin((2pi/x))	\frac{d}{dx}(x^{2}\sin(\frac{2π}{x}))
integral de x^-	\int\:x^{-}dx
derivative (130700)/(333-v)	derivative\:\frac{130700}{333-v}
integral de tan^4(3/5 bx)	\int\:\tan^{4}(\frac{3}{5}bx)dx
integral de tan^2(x/2)	\int\:\tan^{2}(\frac{x}{2})dx
derivative h(-x)=(x^2+9)/(10)	derivative\:h(-x)=\frac{x^{2}+9}{10}
derivada de (sin(x-cos(x))^2)	\frac{d}{dx}((\sin(x)-\cos(x))^{2})
integral de e^{7x}sin(6x)	\int\:e^{7x}\sin(6x)dx
derivative y= 1/t+1/(t^2)-1/(sqrt(t))	derivative\:y=\frac{1}{t}+\frac{1}{t^{2}}-\frac{1}{\sqrt{t}}
simplificar (sqrt(x^2+a^2))^{e^{x^2}}	simplify\:(\sqrt{x^{2}+a^{2}})^{e^{x^{2}}}
límite cuando x tiende a 6-de x/(6-x)	\lim\:_{x\to\:6-}(\frac{x}{6-x})
integral de x^2+x+1	\int\:x^{2}+x+1dx
(\partial)/(\partial x)((y+x)^2)	\frac{\partial\:}{\partial\:x}((y+x)^{2})
(\partial)/(\partial x)(sin(x-y))	\frac{\partial\:}{\partial\:x}(\sin(x-y))
integral de 0 a 15 de w/((1+w)^{3/4)}	\int\:_{0}^{15}\frac{w}{(1+w)^{\frac{3}{4}}}dw
integral de x/(4+5x^2)	\int\:\frac{x}{4+5x^{2}}dx
integral de (4/x+9/(x^7))	\int\:(\frac{4}{x}+\frac{9}{x^{7}})dx
integral de 1/((sin(x)+tan(x)))	\int\:\frac{1}{(\sin(x)+\tan(x))}dx
(\partial)/(\partial x)(sqrt(1-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{1-y^{2}})
integral de 1/(sqrt(-x^2-4x))	\int\:\frac{1}{\sqrt{-x^{2}-4x}}dx
límite cuando h tiende a 0 de ((1+h)^8-1)/h	\lim\:_{h\to\:0}(\frac{(1+h)^{8}-1}{h})
integral de ln(2x+3)	\int\:\ln(2x+3)dx
integral de (5-x^2)/((x^2+9)(3-x))	\int\:\frac{5-x^{2}}{(x^{2}+9)(3-x)}dx
inverselaplace 2/((s+1)(s+2)^2)	inverselaplace\:\frac{2}{(s+1)(s+2)^{2}}
(dy)/(dx)=-(e^xy^2)/(10)	\frac{dy}{dx}=-\frac{e^{x}y^{2}}{10}
integral de 3ln^2(x)	\int\:3\ln^{2}(x)dx
(dy)/(dt)(t)-2y=3e^t	\frac{dy}{dt}(t)-2y=3e^{t}
integral de (4x+2)/((x+1)(x^2+1))	\int\:\frac{4x+2}{(x+1)(x^{2}+1)}dx
derivada de 1000(1-x/(500)^2)	\frac{d}{dx}(1000(1-\frac{x}{500})^{2})
(dy)/(dx)=4+9x+32y+72xy	\frac{dy}{dx}=4+9x+32y+72xy
integral de 0 a t de e^ssin(t-s)	\int\:_{0}^{t}e^{s}\sin(t-s)ds
derivative f(s)=-(12)/(s^5)	derivative\:f(s)=-\frac{12}{s^{5}}
derivada de xln(x^{15})	\frac{d}{dx}(x\ln(x^{15}))
derivative 1/27 (9x^2+6)^{3/2}	derivative\:\frac{1}{27}(9x^{2}+6)^{\frac{3}{2}}
límite cuando x tiende a infinity de x/3	\lim\:_{x\to\:\infty\:}(\frac{x}{3})
integral de 1/(sqrt(e^x+1))	\int\:\frac{1}{\sqrt{e^{x}+1}}dx
serie de n=0 a infinity de 1/((2n+1)^3)	\sum\:_{n=0}^{\infty\:}\frac{1}{(2n+1)^{3}}
límite cuando n tiende a infinity de-7^n	\lim\:_{n\to\:\infty\:}(-7^{n})
inverselaplace 1/(s(s^2+100))	inverselaplace\:\frac{1}{s(s^{2}+100)}
(\partial)/(\partial x)(xye^{7y})	\frac{\partial\:}{\partial\:x}(xye^{7y})
derivative y=ln(x^3+1)	derivative\:y=\ln(x^{3}+1)
serie de n=0 a infinity de 1/3	\sum\:_{n=0}^{\infty\:}\frac{1}{3}
integral de 0 a 1 de (8x^2-2)e^x	\int\:_{0}^{1}(8x^{2}-2)e^{x}dx
d/(dt)((arccos(t))^2)	\frac{d}{dt}((\arccos(t))^{2})
integral de 2cos^3(4x)	\int\:2\cos^{3}(4x)dx
(\partial)/(\partial v)(2uv)	\frac{\partial\:}{\partial\:v}(2uv)
derivative (f(x))/(x^7)	derivative\:\frac{f(x)}{x^{7}}

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