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Problemas populares

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Problemas populares de Cálculo

derivada de 2x^2-3x+1	\frac{d}{dx}(2x^{2}-3x+1)
taylor-(x-3)^3,1	taylor\:-(x-3)^{3},1
límite cuando h tiende a 0 de (((1+h)e^{(1+h)^2}-3))/h	\lim\:_{h\to\:0}(\frac{((1+h)e^{(1+h)^{2}}-3)}{h})
derivative f(x)=5x^3	derivative\:f(x)=5x^{3}
integral de-(cos(3x))/3	\int\:-\frac{\cos(3x)}{3}dx
integral de (0.25)/((0.25^2+x^2)^{3/2)}	\int\:\frac{0.25}{(0.25^{2}+x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de (4x^2)/(x^2)	\lim\:_{x\to\:0}(\frac{4x^{2}}{x^{2}})
integral de-1 a 1 de (14-12x)^{-1}	\int\:_{-1}^{1}(14-12x)^{-1}dx
(\partial)/(\partial z)(yarctan(x/z))	\frac{\partial\:}{\partial\:z}(y\arctan(\frac{x}{z}))
integral de (7+2x)e^x	\int\:(7+2x)e^{x}dx
integral de ((x+1)^2)/(x^2+1)	\int\:\frac{(x+1)^{2}}{x^{2}+1}dx
integral de 0 a 4 de sqrt(1+(9x)/4)	\int\:_{0}^{4}\sqrt{1+\frac{9x}{4}}dx
integral de 0 a pi de sin(4x)	\int\:_{0}^{π}\sin(4x)dx
tangent y=-2x^2,(-5,50)	tangent\:y=-2x^{2},(-5,50)
área y= 1/2 x^2+1,(0,1)	area\:y=\frac{1}{2}x^{2}+1,(0,1)
integral de 2x-6	\int\:2x-6dx
integral de 0 a 5 de e^{2x}	\int\:_{0}^{5}e^{2x}dx
integral de 6/(15sin(x)-8cos(x))	\int\:\frac{6}{15\sin(x)-8\cos(x)}dx
(dy)/(dx)=15-(3y)/(350)	\frac{dy}{dx}=15-\frac{3y}{350}
derivada de (ax+b/(cx+k))	\frac{d}{dx}(\frac{ax+b}{cx+k})
inversalaplace ln(s)	inverselaplace\:\ln(s)
integral de-1 a 1 de (x^4+3x+1)	\int\:_{-1}^{1}(x^{4}+3x+1)dx
derivative f(x)=e^{3x^2}	derivative\:f(x)=e^{3x^{2}}
derivada de \sqrt[3]{2x^5}	\frac{d}{dx}(\sqrt[3]{2x^{5}})
integral de-7x-3+2/(x-1)	\int\:-7x-3+\frac{2}{x-1}dx
derivative f(z)=sqrt((z-1)/(z+1))	derivative\:f(z)=\sqrt{\frac{z-1}{z+1}}
integral de 7e^{2x+e^{2x}}	\int\:7e^{2x+e^{2x}}dx
inversalaplace (s^2)/(s^2+9)	inverselaplace\:\frac{s^{2}}{s^{2}+9}
integral de (2e^{2x})/(e^{2x)+16e^x+63}	\int\:\frac{2e^{2x}}{e^{2x}+16e^{x}+63}dx
simplificar ln(x^6)	simplify\:\ln(x^{6})
integral de 0 a 1 de (x^4)/(x^5-1)	\int\:_{0}^{1}\frac{x^{4}}{x^{5}-1}dx
serie de n=0 a infinity de 2(-5)^n	\sum\:_{n=0}^{\infty\:}2(-5)^{n}
inversalaplace 1/(s^3-7s)	inverselaplace\:\frac{1}{s^{3}-7s}
y^{'''}+64y^'=0	y^{\prime\:\prime\:\prime\:}+64y^{\prime\:}=0
derivative f(x)=ln(100sin^2(x))	derivative\:f(x)=\ln(100\sin^{2}(x))
(d^2)/(dx^2)(x^{8/9}+6x)	\frac{d^{2}}{dx^{2}}(x^{\frac{8}{9}}+6x)
límite cuando x tiende a-1 de 2x+4	\lim\:_{x\to\:-1}(2x+4)
derivative 18sqrt(x)	derivative\:18\sqrt{x}
integral de sin^{1/2}(2x)cos^3(2x)	\int\:\sin^{\frac{1}{2}}(2x)\cos^{3}(2x)dx
derivada de (5x^2-10x+10e^x)	\frac{d}{dx}((5x^{2}-10x+10)e^{x})
integral de (6x+1)sqrt(3x^2+x)	\int\:(6x+1)\sqrt{3x^{2}+x}dx
(\partial)/(\partial x)(1/(xy^2+yx^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{xy^{2}+yx^{2}})
integral de ((2+ln(7x)))/(3x)	\int\:\frac{(2+\ln(7x))}{3x}dx
6x^2-48x+y^2+5=0	6x^{2}-48x+y^{2}+5=0
límite cuando x tiende a (-k+1) de 1/(x-2)	\lim\:_{x\to\:(-k+1)}(\frac{1}{x-2})
y^'+8y=0	y^{\prime\:}+8y=0
integral de (x+1)sqrt(x^2+2x+3)	\int\:(x+1)\sqrt{x^{2}+2x+3}dx
derivada de x^{-2/5}+x^{2/5}	\frac{d}{dx}(x^{-\frac{2}{5}}+x^{\frac{2}{5}})
derivative-(48)/(s^5)	derivative\:-\frac{48}{s^{5}}
integral de 0 a 3 de pi(2sqrt(7y))^2	\int\:_{0}^{3}π(2\sqrt{7y})^{2}dy
derivada de 1/((3^{(-x^2-y^2)+1)})	\frac{d}{dx}(\frac{1}{(3^{(-x^{2}-y^{2})}+1)})
y^{''}-0.2y^'+0.01y=0,y(0)=13,y^'(0)=b	y^{\prime\:\prime\:}-0.2y^{\prime\:}+0.01y=0,y(0)=13,y^{\prime\:}(0)=b
integral de 18tan^{17}(x)sec^2(x)	\int\:18\tan^{17}(x)\sec^{2}(x)dx
(d^2)/(dx^2)(sqrt(x)+\sqrt[7]{x})	\frac{d^{2}}{dx^{2}}(\sqrt{x}+\sqrt[7]{x})
límite cuando x tiende a 9 de (3-sqrt(x))/(9x-x^2)	\lim\:_{x\to\:9}(\frac{3-\sqrt{x}}{9x-x^{2}})
integral de 1/(u^2+3)	\int\:\frac{1}{u^{2}+3}du
(dx}{dy}=\frac{y^3-3x)/y	\frac{dx}{dy}=\frac{y^{3}-3x}{y}
serie de n=1 a infinity de 4/(2n)	\sum\:_{n=1}^{\infty\:}\frac{4}{2n}
(d^3)/(dx^3)(6/(x^2))	\frac{d^{3}}{dx^{3}}(\frac{6}{x^{2}})
integral de (y^2cos(x)-3x^2y-2x)	\int\:(y^{2}\cos(x)-3x^{2}y-2x)dx
(\partial)/(\partial z)(ln(xy))	\frac{\partial\:}{\partial\:z}(\ln(xy))
área x^3-4x^2,2x^2-8x	area\:x^{3}-4x^{2},2x^{2}-8x
inversalaplace 1/((s^2+1)(s^2+3s))	inverselaplace\:\frac{1}{(s^{2}+1)(s^{2}+3s)}
integral de (24x^3-48x^2+7)/(x^2-2x)	\int\:\frac{24x^{3}-48x^{2}+7}{x^{2}-2x}dx
(2xln(x)+x^2-1)^'	(2x\ln(x)+x^{2}-1)^{\prime\:}
(\partial)/(\partial x)(u(x))	\frac{\partial\:}{\partial\:x}(u(x))
derivada de \sqrt[3]{7x}+\sqrt[3]{7x}	\frac{d}{dx}(\sqrt[3]{7x}+\sqrt[3]{7x})
integral de (y^2e^{xy})	\int\:(y^{2}e^{xy})dx
(\partial)/(\partial x)((x-2y)/(x+2y))	\frac{\partial\:}{\partial\:x}(\frac{x-2y}{x+2y})
(\partial)/(\partial x)(ln(x+2ct))	\frac{\partial\:}{\partial\:x}(\ln(x+2ct))
derivative f(x)=186.5	derivative\:f(x)=186.5
integral de 2/(xln(6x))	\int\:\frac{2}{x\ln(6x)}dx
integral de 1/(xsqrt(6x+49))	\int\:\frac{1}{x\sqrt{6x+49}}dx
(2y^2+6x)dx+(2xy)dy=0	(2y^{2}+6x)dx+(2xy)dy=0
integral de cot^3(x)csc^2(x)	\int\:\cot^{3}(x)\csc^{2}(x)dx
derivative 2x^2cos(x)cot(x)	derivative\:2x^{2}\cos(x)\cot(x)
derivative f(x)=sqrt(5)	derivative\:f(x)=\sqrt{5}
derivada de cos(9sin(x))	\frac{d}{dx}(\cos(9\sin(x)))
derivada de (tan^2(x-x^2)^3)	\frac{d}{dx}((\tan^{2}(x)-x^{2})^{3})
integral de 0 a 1 de (1+x)/(1+2x)	\int\:_{0}^{1}\frac{1+x}{1+2x}dx
taylor (e^x)/(1+x)	taylor\:\frac{e^{x}}{1+x}
(dy)/(dx)+ay+b=0	\frac{dy}{dx}+ay+b=0
límite cuando x tiende a 3-de (x+3)/2	\lim\:_{x\to\:3-}(\frac{x+3}{2})
integral de 0 a x^4 de cos(t^2)	\int\:_{0}^{x^{4}}\cos(t^{2})dt
pendiente (2,5),(7,3)	slope\:(2,5),(7,3)
integral de (x^{1/2}+3x+2)	\int\:(x^{\frac{1}{2}}+3x+2)dx
límite cuando θ tiende a 0 de θcos(θ)	\lim\:_{θ\to\:0}(θ\cos(θ))
integral de ((ln^2(3x)))/x	\int\:\frac{(\ln^{2}(3x))}{x}dx
f(x)= x/(1+x^2)	f(x)=\frac{x}{1+x^{2}}
integral de 0 a 1 de (xsqrt(x^2+1))	\int\:_{0}^{1}(x\sqrt{x^{2}+1})dx
derivada de (120/((1-x)^6))	\frac{d}{dx}(\frac{120}{(1-x)^{6}})
tangent ((x+3))/(2x+1)	tangent\:\frac{(x+3)}{2x+1}
pendiente (-8.5)(6.2)	slope\:(-8.5)(6.2)
derivada de (3x^2(x^{1/2}))	\frac{d}{dx}((3x^{2})(x^{\frac{1}{2}}))
integral de 2 a infinity de 5x^{-2}	\int\:_{2}^{\infty\:}5x^{-2}dx
integral de xsqrt(5+2x^2)	\int\:x\sqrt{5+2x^{2}}dx
a^2dx=xsqrt(x^2-a^2)dy	a^{2}dx=x\sqrt{x^{2}-a^{2}}dy
laplacetransformación e^{2t}sin(3t)	laplacetransform\:e^{2t}\sin(3t)
área y=3x,y=9,y= 1/4 x^2	area\:y=3x,y=9,y=\frac{1}{4}x^{2}
integral de (x^3+2)^83x^2	\int\:(x^{3}+2)^{8}3x^{2}dx

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