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Problemas populares

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Problemas populares de Cálculo

integral de 8 a R de 1/(x^2-9x+18)	\int\:_{8}^{R}\frac{1}{x^{2}-9x+18}dx
tangent f(x)= 6/(3x+1),(-1,-3)	tangent\:f(x)=\frac{6}{3x+1},(-1,-3)
integral de 1/2 ln((1+x)/(1-x))	\int\:\frac{1}{2}\ln(\frac{1+x}{1-x})dx
integral de (6x+7)/((9x^2+21x)^4)	\int\:\frac{6x+7}{(9x^{2}+21x)^{4}}dx
serie de n=1 a infinity de (10^n)/(9^n)	\sum\:_{n=1}^{\infty\:}\frac{10^{n}}{9^{n}}
x(dy)/(dx)-y=x^2e^x	x\frac{dy}{dx}-y=x^{2}e^{x}
(\partial)/(\partial x)(ln(sqrt(3x)+5y))	\frac{\partial\:}{\partial\:x}(\ln(\sqrt{3x}+5y))
límite cuando x tiende a pi de (2x-2pi)cot(x)	\lim\:_{x\to\:π}((2x-2π)\cot(x))
derivada de cos(x^2-1)	\frac{d}{dx}(\cos(x^{2}-1))
(\partial)/(\partial x)((6x)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{6x}{x^{2}+y^{2}})
y^'=2x+y,y(0)=7	y^{\prime\:}=2x+y,y(0)=7
taylor sin(x)(cos(x)-1)pi	taylor\:\sin(x)(\cos(x)-1)π
(\partial)/(\partial x)(sqrt(x^2+4y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+4y^{2}})
x^2y^{''}-xy^'+y= 1/x	x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}+y=\frac{1}{x}
integral de 0 a 0.5 de 500x	\int\:_{0}^{0.5}500xdx
tangent f(x)=6x^2+2x-7	tangent\:f(x)=6x^{2}+2x-7
integral de 0 a 16 de xe^{-x}	\int\:_{0}^{16}xe^{-x}dx
límite cuando x tiende a 0-de (11)/(tan(x))	\lim\:_{x\to\:0-}(\frac{11}{\tan(x)})
integral de 8xln(x)	\int\:8x\ln(x)dx
integral de ((2x-4))/((x-2)^2)	\int\:\frac{(2x-4)}{(x-2)^{2}}dx
(dy)/(dx)=e^{-2x}	\frac{dy}{dx}=e^{-2x}
(dy)/(dx)=3y-x^2y	\frac{dy}{dx}=3y-x^{2}y
derivada de tan(1)	\frac{d}{dx}(\tan(1))
límite cuando x tiende a 1 de 4/(x^3-1)	\lim\:_{x\to\:1}(\frac{4}{x^{3}-1})
derivative ln((6-x)/(6+x))	derivative\:\ln(\frac{6-x}{6+x})
integral de 2-y^2	\int\:2-y^{2}dy
derivada de 1/8 (x^2-8ln(x))	\frac{d}{dx}(\frac{1}{8}(x^{2}-8\ln(x)))
integral de (e^x)/((e^x-3)(e^{2x)+1)}	\int\:\frac{e^{x}}{(e^{x}-3)(e^{2x}+1)}dx
derivada de e^{x^2-y}	\frac{d}{dx}(e^{x^{2}-y})
integral de 2x(x^2+5)^{-4}	\int\:2x(x^{2}+5)^{-4}dx
área x^2+6,12+4x-x^2	area\:x^{2}+6,12+4x-x^{2}
serie de n=1 a infinity de 0.4^n	\sum\:_{n=1}^{\infty\:}0.4^{n}
derivative f(x)=x^3-x^2	derivative\:f(x)=x^{3}-x^{2}
derivative f(x)=4x^2+2	derivative\:f(x)=4x^{2}+2
serie de n=1 a infinity de 1/(n7^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{n7^{n}}
tangent 4x-x^2	tangent\:4x-x^{2}
derivative ln(x+y)	derivative\:\ln(x+y)
(\partial)/(\partial z)(cos(z{w}(z)))	\frac{\partial\:}{\partial\:z}(\cos(z{w}(z)))
límite cuando x tiende a 0 de (4^x-7^x)/x	\lim\:_{x\to\:0}(\frac{4^{x}-7^{x}}{x})
(\partial)/(\partial x)(e^{-6x}cos(2pit))	\frac{\partial\:}{\partial\:x}(e^{-6x}\cos(2πt))
integral de (3sqrt(x)-2x^{-3})	\int\:(3\sqrt{x}-2x^{-3})dx
derivative (pix)/2	derivative\:\frac{πx}{2}
integral de 5/x-(10)/(x^2)	\int\:\frac{5}{x}-\frac{10}{x^{2}}dx
derivada de (x^3-2x+1(3x^3+2x^2-5x))	\frac{d}{dx}((x^{3}-2x+1)(3x^{3}+2x^{2}-5x))
límite cuando x tiende a-infinity de x/(-1)	\lim\:_{x\to\:-\infty\:}(\frac{x}{-1})
(\partial)/(\partial y)(e^{yx}y^2)	\frac{\partial\:}{\partial\:y}(e^{yx}y^{2})
derivative f(x)=(x-4)(x^2+8)	derivative\:f(x)=(x-4)(x^{2}+8)
y^'=4y+y^4	y^{\prime\:}=4y+y^{4}
derivada de (x^2-9x+14/((x-5)(x-10)))	\frac{d}{dx}(\frac{x^{2}-9x+14}{(x-5)(x-10)})
(\partial)/(\partial x)(yx^{-1})	\frac{\partial\:}{\partial\:x}(yx^{-1})
((x^2+1)dy)/(dx)+6x(y-1)=0,y(0)=6	\frac{(x^{2}+1)dy}{dx}+6x(y-1)=0,y(0)=6
integral de 1/(x^3)ln(x)	\int\:\frac{1}{x^{3}}\ln(x)dx
(\partial)/(\partial y)(x^2)	\frac{\partial\:}{\partial\:y}(x^{2})
integral de (3-2/(x^3)+1/(sqrt(x)))	\int\:(3-\frac{2}{x^{3}}+\frac{1}{\sqrt{x}})dx
integral de 0 a 1 de 2xsqrt(1+4x^2)	\int\:_{0}^{1}2x\sqrt{1+4x^{2}}dx
d/(dt)(-cos(t))	\frac{d}{dt}(-\cos(t))
integral de-2 a 3 de (x^3-4x)	\int\:_{-2}^{3}(x^{3}-4x)dx
área x+2,x^2,0	area\:x+2,x^{2},0
tangent 9sqrt(x)	tangent\:9\sqrt{x}
(\partial ^2)/(\partial t^2)(ln(3x+3ct))	\frac{\partial\:^{2}}{\partial\:t^{2}}(\ln(3x+3ct))
e^yy^'=(sin(x))/(cos^2(x))	e^{y}y^{\prime\:}=\frac{\sin(x)}{\cos^{2}(x)}
derivada de e^{sin(x^2})	\frac{d}{dx}(e^{\sin(x^{2})})
y^'-7y=sin(2x)	y^{\prime\:}-7y=\sin(2x)
derivative y=1+x-4x^{1/2}	derivative\:y=1+x-4x^{\frac{1}{2}}
derivative arctan((1+x)/(1-x))	derivative\:\arctan(\frac{1+x}{1-x})
2+(dy)/(dx)=sqrt(2x+y)	2+\frac{dy}{dx}=\sqrt{2x+y}
derivada de (inx/x)	\frac{d}{dx}(\frac{inx}{x})
límite cuando x tiende a 8 de e^{3/((x-8))}	\lim\:_{x\to\:8}(e^{\frac{3}{(x-8)}})
integral de 2/(x-2)	\int\:\frac{2}{x-2}dx
integral de arccsc(x/2)	\int\:\arccsc(\frac{x}{2})dx
y^{''}-8y^'+13y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+13y=0
límite cuando n tiende a infinity de 1-n^2	\lim\:_{n\to\:\infty\:}(1-n^{2})
(\partial)/(\partial x)(-7(x+2y)^5)	\frac{\partial\:}{\partial\:x}(-7(x+2y)^{5})
integral de 1/(y^{2/3)}	\int\:\frac{1}{y^{\frac{2}{3}}}dy
(d^2)/(dx^2)(2/(1+x^2))	\frac{d^{2}}{dx^{2}}(\frac{2}{1+x^{2}})
derivada de-x+1	\frac{d}{dx}(-x+1)
integral de pi^x-x^{-1}	\int\:π^{x}-x^{-1}dx
integral de 7 a 14 de-30x^2+340x	\int\:_{7}^{14}-30x^{2}+340xdx
límite cuando x tiende a i de (x^4-1)/(x-i)	\lim\:_{x\to\:i}(\frac{x^{4}-1}{x-i})
(dy)/(dx)+cos(x)=(y+sin(x))^2	\frac{dy}{dx}+\cos(x)=(y+\sin(x))^{2}
derivative f(x)=sin(2x)cos(2x)	derivative\:f(x)=\sin(2x)\cos(2x)
derivative (4x)/(x+1)	derivative\:\frac{4x}{x+1}
integral de e^{-5x}sin(4x)	\int\:e^{-5x}\sin(4x)dx
(dy)/(dx)= x/y ,y(0)=-4	\frac{dy}{dx}=\frac{x}{y},y(0)=-4
x^2y^{''}-3xy^'+4y=0	x^{2}y^{\prime\:\prime\:}-3xy^{\prime\:}+4y=0
taylor ln(x),x=4	taylor\:\ln(x),x=4
y^{''}+y=sin(x),y(0)=1,y(pi/2)=0	y^{\prime\:\prime\:}+y=\sin(x),y(0)=1,y(\frac{π}{2})=0
derivative x^7(1-2/(x+4))	derivative\:x^{7}(1-\frac{2}{x+4})
derivada de (2x-6^4(x^2+x+1)^5)	\frac{d}{dx}((2x-6)^{4}(x^{2}+x+1)^{5})
integral de (t+1)^2	\int\:(t+1)^{2}dt
integral de 1 a 4 de (5x+sqrt(x))	\int\:_{1}^{4}(5x+\sqrt{x})dx
integral de cos(1+5t)	\int\:\cos(1+5t)dt
integral de x(arctan(x))^2	\int\:x(\arctan(x))^{2}dx
integral de (tan(x))/(cos^3(x))	\int\:\frac{\tan(x)}{\cos^{3}(x)}dx
(dy)/(y^2-4)=dx	\frac{dy}{y^{2}-4}=dx
(\partial)/(\partial x)(-3x)	\frac{\partial\:}{\partial\:x}(-3x)
integral de 1/(x^2)-1/(xsqrt(x))+5	\int\:\frac{1}{x^{2}}-\frac{1}{x\sqrt{x}}+5dx
(dy)/(dx)=sqrt(3y)e^{x+7}	\frac{dy}{dx}=\sqrt{3y}e^{x+7}
integral de-(cos(x))/x	\int\:-\frac{\cos(x)}{x}dx
y^{''}-4y^'+5y=e^{-x}	y^{\prime\:\prime\:}-4y^{\prime\:}+5y=e^{-x}

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