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Problemas populares

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Problemas populares de Cálculo

(dr)/(ds)=e^{r-2s}	\frac{dr}{ds}=e^{r-2s}
integral de (16)/(x^3+4x)	\int\:\frac{16}{x^{3}+4x}dx
integral de 6x^5y	\int\:6x^{5}ydx
derivative ln((4x+1)/(2x-7))	derivative\:\ln(\frac{4x+1}{2x-7})
integral de e^{6x}cos(5x)	\int\:e^{6x}\cos(5x)dx
integral de sin(6x)cos(6x)	\int\:\sin(6x)\cos(6x)dx
integral de x^nln(x)	\int\:x^{n}\ln(x)dx
integral de-4 a 6 de [f(x)+2]	\int\:_{-4}^{6}[f(x)+2]dx
derivada de x^9ln\|x\|	\frac{d}{dx}(x^{9}\ln\left\|x\right\|)
integral de 0 a pi de-7sin(x)	\int\:_{0}^{π}-7\sin(x)dx
derivative 3/(sqrt(t))	derivative\:\frac{3}{\sqrt{t}}
integral de 4 a 5 de 1/(x^2-1)	\int\:_{4}^{5}\frac{1}{x^{2}-1}dx
(\partial)/(\partial x)(x*ln(x))	\frac{\partial\:}{\partial\:x}(x\cdot\:\ln(x))
integral de 2piy(8-y^{3/2})	\int\:2πy(8-y^{\frac{3}{2}})dy
tangent f(x)=(ln(x))^3,\at x=11	tangent\:f(x)=(\ln(x))^{3},\at\:x=11
tangent f(x)=x^3+2x,\at x=1	tangent\:f(x)=x^{3}+2x,\at\:x=1
derivada de (x^3+3x+2/(x^2-1))	\frac{d}{dx}(\frac{x^{3}+3x+2}{x^{2}-1})
x^2y^{''}-5xy^'+13y=0	x^{2}y^{\prime\:\prime\:}-5xy^{\prime\:}+13y=0
derivada de sin(cos(x^2+3))	\frac{d}{dx}(\sin(\cos(x^{2}+3)))
área y=4x,y=x^3+3x^2	area\:y=4x,y=x^{3}+3x^{2}
integral de 0 a 1 de 2/7 x^2(x+3)	\int\:_{0}^{1}\frac{2}{7}x^{2}(x+3)dx
integral de 0 a 1 de pi(5x^6-5x)^2	\int\:_{0}^{1}π(5x^{6}-5x)^{2}dx
integral de 0 a 10 de xe^{-x}	\int\:_{0}^{10}xe^{-x}dx
xyy^'+y^2=xe^{-x}	xyy^{\prime\:}+y^{2}=xe^{-x}
integral de 0 a b de e^{ux}a(b-x)	\int\:_{0}^{b}e^{ux}a(b-x)dx
integral de 1/(xe^{ln(x))}	\int\:\frac{1}{xe^{\ln(x)}}dx
límite cuando x tiende a-1 de 1x^2	\lim\:_{x\to\:-1}(1x^{2})
d/(dy)(y^{1/2})	\frac{d}{dy}(y^{\frac{1}{2}})
(\partial)/(\partial x)(1(x-y)e^{1y+2x^2})	\frac{\partial\:}{\partial\:x}(1(x-y)e^{1y+2x^{2}})
taylor f(x)=sqrt(x)	taylor\:f(x)=\sqrt{x}
(\partial)/(\partial y)(y^2+1)	\frac{\partial\:}{\partial\:y}(y^{2}+1)
y^{''}+2y^'+y=2e^{-t},y(0)=-1,y^'(0)=3	y^{\prime\:\prime\:}+2y^{\prime\:}+y=2e^{-t},y(0)=-1,y^{\prime\:}(0)=3
derivative g(x)=x^{5/2}	derivative\:g(x)=x^{\frac{5}{2}}
integral de 0 a infinity de 1/(4+x^2)	\int\:_{0}^{\infty\:}\frac{1}{4+x^{2}}dx
derivada de e^{sqrt(x)}+x	\frac{d}{dx}(e^{\sqrt{x}}+x)
derivada de 9x^2cos(xcot(x))	\frac{d}{dx}(9x^{2}\cos(x)\cot(x))
integral de 1 a 2 de 1/(3-x)	\int\:_{1}^{2}\frac{1}{3-x}dx
derivada de (ln(x)/(4x^2))	\frac{d}{dx}(\frac{\ln(x)}{4x^{2}})
integral de sqrt(x)-7cos(x)	\int\:\sqrt{x}-7\cos(x)dx
integral de sin^2((3x)/2)	\int\:\sin^{2}(\frac{3x}{2})dx
derivative y= 4/(sqrt(x))	derivative\:y=\frac{4}{\sqrt{x}}
integral de 12(x-4)^5	\int\:12(x-4)^{5}dx
derivada de sin(\sqrt[3]{x}-2+pi)	\frac{d}{dx}(\sin(\sqrt[3]{x}-2+π))
derivative sqrt(9x-36)	derivative\:\sqrt{9x-36}
(\partial)/(\partial x)(-4x+5-6xy)	\frac{\partial\:}{\partial\:x}(-4x+5-6xy)
f(x)=(x^3)/3	f(x)=\frac{x^{3}}{3}
integral de 1/(4x^5)	\int\:\frac{1}{4x^{5}}dx
integral de (2-x)^5	\int\:(2-x)^{5}dx
integral de 0 a 9 de xsqrt(81-x^2)	\int\:_{0}^{9}x\sqrt{81-x^{2}}dx
derivada de e^{2x}+2	\frac{d}{dx}(e^{2x}+2)
inversalaplace (s^2)/(s+1)	inverselaplace\:\frac{s^{2}}{s+1}
xy^'=y+2x^2sin(x),y(pi)=0	xy^{\prime\:}=y+2x^{2}\sin(x),y(π)=0
serie de n=1 a infinity de (e^n)/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{e^{n}}{n^{2}}
(\partial)/(\partial x)(2x^3+3y^3-12xy)	\frac{\partial\:}{\partial\:x}(2x^{3}+3y^{3}-12xy)
integral de 1/((x^2-6x)^{3/2)}	\int\:\frac{1}{(x^{2}-6x)^{\frac{3}{2}}}dx
(\partial)/(\partial x)(xy{E}(x,y)(x,y)^{x/y})	\frac{\partial\:}{\partial\:x}(xy{E}(x,y)(x,y)^{\frac{x}{y}})
integral de-2cos^2(x)	\int\:-2\cos^{2}(x)dx
f(x)=2sec(3x^2)	f(x)=2\sec(3x^{2})
(6y+2t-7)dt+(8y+6t-1)dy=0,y(-1)=2	(6y+2t-7)dt+(8y+6t-1)dy=0,y(-1)=2
integral de 0 a t de t^2e^{-t/2}	\int\:_{0}^{t}t^{2}e^{-\frac{t}{2}}dt
integral de 1/(x^4-x)	\int\:\frac{1}{x^{4}-x}dx
derivada de (2x^2tan(x)/(sec(x)))	\frac{d}{dx}(\frac{2x^{2}\tan(x)}{\sec(x)})
derivada de ln(10-x)	\frac{d}{dx}(\ln(10-x))
integral de sec^2(θ)tan^3(θ)	\int\:\sec^{2}(θ)\tan^{3}(θ)dθ
integral de ((x+2))/(sqrt(x))	\int\:\frac{(x+2)}{\sqrt{x}}dx
límite cuando x tiende a 0 de x^2ln\|x\|	\lim\:_{x\to\:0}(x^{2}\ln\left\|x\right\|)
(\partial)/(\partial x)(y^{x^y})	\frac{\partial\:}{\partial\:x}(y^{x^{y}})
derivada de e^{3x}cos(4x)	\frac{d}{dx}(e^{3x}\cos(4x))
y^{''}-4y^'+4y=t^{-4}e^{2t}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=t^{-4}e^{2t}
laplacetransformación t^2*e^{-3t}	laplacetransform\:t^{2}\cdot\:e^{-3t}
derivada de x/(10-(10)/x)	\frac{d}{dx}(\frac{x}{10}-\frac{10}{x})
integral de 20θsec^2(θ)	\int\:20θ\sec^{2}(θ)dθ
integral de (1 (x))/x	\int\:\frac{\frac{d}{1}(x)}{x}dx
derivada de x/(sqrt(a^2+x^2))	\frac{d}{dx}(\frac{x}{\sqrt{a^{2}+x^{2}}})
derivada de sqrt(16x+1)	\frac{d}{dx}(\sqrt{16x+1})
laplacetransformación 3t-5	laplacetransform\:3t-5
ty^'+y=2t	ty^{\prime\:}+y=2t
derivative e^{4x}+e^{-4x}	derivative\:e^{4x}+e^{-4x}
inversalaplace s/(s^2-4)	inverselaplace\:\frac{s}{s^{2}-4}
derivada de 2x^3-5x+4	\frac{d}{dx}(2x^{3}-5x+4)
derivative (2x^2+1)/x	derivative\:\frac{2x^{2}+1}{x}
derivada de (sqrt(25-x^2)/(32x))	\frac{d}{dx}(\frac{\sqrt{25-x^{2}}}{32x})
integral de 0 a 2 de f(x)	\int\:_{0}^{2}f(x)dx
integral de-1 a 1 de x^2e^{x^3+1}	\int\:_{-1}^{1}x^{2}e^{x^{3}+1}dx
derivada de \sqrt[4]{x^5}-3/(x^2)	\frac{d}{dx}(\sqrt[4]{x^{5}}-\frac{3}{x^{2}})
derivada de e^{4x^2}*8x	\frac{d}{dx}(e^{4x^{2}}\cdot\:8x)
derivative f(x)=x^3-15x	derivative\:f(x)=x^{3}-15x
(dP)/(dt)=sqrt(Pt)	\frac{dP}{dt}=\sqrt{Pt}
derivada de 3cos(5x)	\frac{d}{dx}(3\cos(5x))
(sqrt(x+1))^'	(\sqrt{x+1})^{\prime\:}
derivada de (6x/(1-cot(x)))	\frac{d}{dx}(\frac{6x}{1-\cot(x)})
límite cuando x tiende a+0 de (e^x-1)/(2x)	\lim\:_{x\to\:+0}(\frac{e^{x}-1}{2x})
límite cuando x tiende a 0 de x(11+7/x)	\lim\:_{x\to\:0}(x(11+\frac{7}{x}))
integral de 0 a pi/(14) de cos(7x)	\int\:_{0}^{\frac{π}{14}}\cos(7x)dx
integral de 1/(7x^6)	\int\:\frac{1}{7x^{6}}dx
integral de x^2-3x-10	\int\:x^{2}-3x-10dx
(\partial)/(\partial y)(x^2tan(y))	\frac{\partial\:}{\partial\:y}(x^{2}\tan(y))
integral de tan^2(x)sec^4(x)	\int\:\tan^{2}(x)\sec^{4}(x)dx
integral de (e^{-2x})^2	\int\:(e^{-2x})^{2}dx
límite cuando x tiende a 2 de 2x+2	\lim\:_{x\to\:2}(2x+2)

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