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Problemas populares Cálculo

derivada de \sqrt[13]{9+7\sqrt[5]{2x}}	\frac{d}{dx}(\sqrt[13]{9+7\sqrt[5]{2x}})
integral de (sec^2(θ)+sec(θ)tan(θ))	\int\:(\sec^{2}(θ)+\sec(θ)\tan(θ))dθ
d/(dy)(sqrt(xy))	\frac{d}{dy}(\sqrt{xy})
(\partial)/(\partial y)(2-y-2x)	\frac{\partial\:}{\partial\:y}(2-y-2x)
(\partial)/(\partial x)(x^2ysin(1/x))	\frac{\partial\:}{\partial\:x}(x^{2}y\sin(\frac{1}{x}))
límite cuando x tiende a 0 de-x^3	\lim\:_{x\to\:0}(-x^{3})
derivative f(x)=sqrt(x^2+6)	derivative\:f(x)=\sqrt{x^{2}+6}
integral de 1/(y-yln(y))	\int\:\frac{1}{y-y\ln(y)}dy
f(x)=ln(sin(x)+4)	f(x)=\ln(\sin(x)+4)
derivada de 1000(sin(x)(e^{-2x}))	\frac{d}{dx}(1000(\sin(x))(e^{-2x}))
integral de (cos(9x))/(1+sin^2(9x))	\int\:\frac{\cos(9x)}{1+\sin^{2}(9x)}dx
integral de x/(x^2+y)	\int\:\frac{x}{x^{2}+y}dx
d/(dt)(e^{(t^2)/2})	\frac{d}{dt}(e^{\frac{t^{2}}{2}})
integral de 4/(sqrt(x^2-16))	\int\:\frac{4}{\sqrt{x^{2}-16}}dx
derivada de 3x^{4x}	\frac{d}{dx}(3x^{4x})
(\partial)/(\partial x)(x*(e^y)/(x+y))	\frac{\partial\:}{\partial\:x}(x\cdot\:\frac{e^{y}}{x+y})
serie de n=8 a infinity de n/(nln(n))	\sum\:_{n=8}^{\infty\:}\frac{n}{n\ln(n)}
(\partial)/(\partial x)(ln(x+8y+9z))	\frac{\partial\:}{\partial\:x}(\ln(x+8y+9z))
derivative f(x)=((x^2-1))/((x^2+x+1))	derivative\:f(x)=\frac{(x^{2}-1)}{(x^{2}+x+1)}
límite cuando x tiende a 1-de x/(x+1)	\lim\:_{x\to\:1-}(\frac{x}{x+1})
derivada de 2/(5x^2-1)	\frac{d}{dx}(\frac{2}{5x^{2}-1})
y^{''}+(2/x)y^'=0	y^{\prime\:\prime\:}+(\frac{2}{x})y^{\prime\:}=0
derivative 2+9sin(x^2)	derivative\:2+9\sin(x^{2})
integral de sqrt(3-2x+x^2)	\int\:\sqrt{3-2x+x^{2}}dx
inverselaplace {(((s+1)^3)/4)^2}	inverselaplace\:\left\{(\frac{(s+1)^{3}}{4})^{2}\right\}
derivada de cx^3	\frac{d}{dx}(cx^{3})
tangent f(x)=x^4+2e^x,\at x=0	tangent\:f(x)=x^{4}+2e^{x},\at\:x=0
límite cuando x tiende a 1 de x^2+x+1	\lim\:_{x\to\:1}(x^{2}+x+1)
integral de 0 a 4 de (sqrt(x))	\int\:_{0}^{4}(\sqrt{x})dx
límite cuando x tiende a 0 de 4xcos(x)	\lim\:_{x\to\:0}(4x\cos(x))
y^{''}+81y=cos(6t)	y^{\prime\:\prime\:}+81y=\cos(6t)
tangent f(x)=sqrt(5x-1),\at x=2	tangent\:f(x)=\sqrt{5x-1},\at\:x=2
slopeintercept (1.8)(0.5)	slopeintercept\:(1.8)(0.5)
límite cuando x tiende a 0 de 2/(x^3-x)	\lim\:_{x\to\:0}(\frac{2}{x^{3}-x})
área y=2x^3-13x,y=x^2+6	area\:y=2x^{3}-13x,y=x^{2}+6
límite cuando x tiende a 1-de sqrt(x)	\lim\:_{x\to\:1-}(\sqrt{x})
(\partial)/(\partial y)((x+y)*e^{x+2y})	\frac{\partial\:}{\partial\:y}((x+y)\cdot\:e^{x+2y})
derivative (2x^2-3x+1)/x	derivative\:\frac{2x^{2}-3x+1}{x}
derivative p	derivative\:p
(\partial)/(\partial x)(2xy+y^2)	\frac{\partial\:}{\partial\:x}(2xy+y^{2})
pendiente (-4.5)(1.1)	slope\:(-4.5)(1.1)
derivative sqrt(1-sec(x))	derivative\:\sqrt{1-\sec(x)}
integral de 6x+4	\int\:6x+4dx
integral de (e^{2x})/(e^{2x)+1}	\int\:\frac{e^{2x}}{e^{2x}+1}dx
derivada de (2x^2-13x+20/((x-1)^2))	\frac{d}{dx}(\frac{2x^{2}-13x+20}{(x-1)^{2}})
integral de x^3sqrt(x^2+42)	\int\:x^{3}\sqrt{x^{2}+42}dx
límite cuando x tiende a 1 de (x^2+x)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{2}+x}{x-1})
6t(dy)/(dt)+y=t^5	6t\frac{dy}{dt}+y=t^{5}
derivada de sqrt(1+cos^2(x))	\frac{d}{dx}(\sqrt{1+\cos^{2}(x)})
integral de (x-2)e^x	\int\:(x-2)e^{x}dx
derivative y=2arcsin(3)x^5	derivative\:y=2\arcsin(3)x^{5}
tangent y=5-7x^2,(3,-58)	tangent\:y=5-7x^{2},(3,-58)
integral de (5sin(x))/(cos^3(x))	\int\:\frac{5\sin(x)}{\cos^{3}(x)}dx
integral de (x^2)/2	\int\:\frac{x^{2}}{2}dx
integral de 0 a pi de sin^2(2x)	\int\:_{0}^{π}\sin^{2}(2x)dx
límite cuando x tiende a 4 de 3-x	\lim\:_{x\to\:4}(3-x)
y^'=(x^4)/y	y^{\prime\:}=\frac{x^{4}}{y}
y^'-1/2 y=2cos(x)	y^{\prime\:}-\frac{1}{2}y=2\cos(x)
límite cuando x tiende a 1 de 4/(2x-2)	\lim\:_{x\to\:1}(\frac{4}{2x-2})
(\partial)/(\partial x)(6x^2y^2+5x+8y^3)	\frac{\partial\:}{\partial\:x}(6x^{2}y^{2}+5x+8y^{3})
integral de (6x^3-5)/x	\int\:\frac{6x^{3}-5}{x}dx
límite cuando x tiende a 1 de (x^{15}-1)/(x^5-1)	\lim\:_{x\to\:1}(\frac{x^{15}-1}{x^{5}-1})
derivada de e^{\sqrt[4]{x-1}}	\frac{d}{dx}(e^{\sqrt[4]{x-1}})
(1/(1-cos(x)))^'	(\frac{1}{1-\cos(x)})^{\prime\:}
(1/(x^2+1))^'	(\frac{1}{x^{2}+1})^{\prime\:}
(\partial)/(\partial x)(sin(2yx))	\frac{\partial\:}{\partial\:x}(\sin(2yx))
(dy)/(dx)=(2y)/(5y-2x)	\frac{dy}{dx}=\frac{2y}{5y-2x}
integral de 3tan(3x)	\int\:3\tan(3x)dx
integral de (2x^2-2x-1)/(x^3-x^2)	\int\:\frac{2x^{2}-2x-1}{x^{3}-x^{2}}dx
inverselaplace (5se^{-2s})/(2s^2+50)	inverselaplace\:\frac{5se^{-2s}}{2s^{2}+50}
integral de (4x^2-12x-19)/((x+1)^2(x-2))	\int\:\frac{4x^{2}-12x-19}{(x+1)^{2}(x-2)}dx
(dy)/(dx)(x+3)=y	\frac{dy}{dx}(x+3)=y
integral de e^{2y}	\int\:e^{2y}dy
(dy)/(dx)=(3x^2*(1+y^2))	\frac{dy}{dx}=(3x^{2}\cdot\:(1+y^{2}))
tangent y=x^2+9	tangent\:y=x^{2}+9
derivative (sqrt(x)-x)/(x^{1/4)}	derivative\:\frac{\sqrt{x}-x}{x^{\frac{1}{4}}}
taylor (1-x)^{1/4},0	taylor\:(1-x)^{\frac{1}{4}},0
integral de cos(x+pi/3)	\int\:\cos(x+\frac{π}{3})dx
integral de 5 a 6 de (7/(x^2)-1)	\int\:_{5}^{6}(\frac{7}{x^{2}}-1)dx
integral de cos(x)y	\int\:\cos(x)y
límite cuando x tiende a 2 de x^4+12x+8	\lim\:_{x\to\:2}(x^{4}+12x+8)
integral de (sqrt(x)+1/(\sqrt[6]{x)})	\int\:(\sqrt{x}+\frac{1}{\sqrt[6]{x}})dx
derivada de 5/3 x^{2/3}	\frac{d}{dx}(\frac{5}{3}x^{\frac{2}{3}})
límite cuando x tiende a+0 de-\|x-2\|+3	\lim\:_{x\to\:+0}(-\left\|x-2\right\|+3)
derivada de 4x^4-7x^3+3	\frac{d}{dx}(4x^{4}-7x^{3}+3)
integral de-3sin(t)	\int\:-3\sin(t)dt
laplacetransform (t-1)1(t-1)	laplacetransform\:(t-1)1(t-1)
integral de tan(θ)sec^2(θ)	\int\:\tan(θ)\sec^{2}(θ)dθ
derivada de (x^2-2/(2x+1))	\frac{d}{dx}(\frac{x^{2}-2}{2x+1})
(xdy)/(dx)+y=e^{-x}	\frac{xdy}{dx}+y=e^{-x}
9y^{''}+6y^'+6y=0	9y^{\prime\:\prime\:}+6y^{\prime\:}+6y=0
integral de 3 a 4 de 15x(x-2)^4	\int\:_{3}^{4}15x(x-2)^{4}dx
integral de 2x^2e^{-x}	\int\:2x^{2}e^{-x}dx
derivative x^2e^{2x}	derivative\:x^{2}e^{2x}
integral de tan^4(x)	\int\:\tan^{4}(x)dx
derivative 6+(2t)/(1+t^3)-e^{-0.02t}	derivative\:6+\frac{2t}{1+t^{3}}-e^{-0.02t}
d/(ds)(e^{-s})	\frac{d}{ds}(e^{-s})
integral de 5cos(x/2)	\int\:5\cos(\frac{x}{2})dx
derivative x^2sqrt(16-x^2)	derivative\:x^{2}\sqrt{16-x^{2}}
inverselaplace 1/(s^2-2s)	inverselaplace\:\frac{1}{s^{2}-2s}

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