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Problemas populares

Temas

Problemas populares de Cálculo

límite cuando x tiende a-1 de x^2+4x	\lim\:_{x\to\:-1}(x^{2}+4x)
(dy)/(dt)=4y+y^4	\frac{dy}{dt}=4y+y^{4}
tangent f(x)=-(4x)/(x^2+1),\at x=0	tangent\:f(x)=-\frac{4x}{x^{2}+1},\at\:x=0
integral de r^2((r^3)/(15)-8)^4	\int\:r^{2}(\frac{r^{3}}{15}-8)^{4}dr
(\partial)/(\partial x)((s^2+4)/(t-3))	\frac{\partial\:}{\partial\:x}(\frac{s^{2}+4}{t-3})
derivada de ln(arctan(2x^5))	\frac{d}{dx}(\ln(\arctan(2x^{5})))
integral de 1/(6x^5)	\int\:\frac{1}{6x^{5}}dx
derivative 3*2^{2x+1}	derivative\:3\cdot\:2^{2x+1}
integral de 0 a 1 de rsqrt(1-r^2)	\int\:_{0}^{1}r\sqrt{1-r^{2}}dr
integral de ((x^3)/(x-1))	\int\:(\frac{x^{3}}{x-1})dx
derivada de (1-x^3-3x(1-x)^2)	\frac{d}{dx}((1-x)^{3}-3x(1-x)^{2})
(dy)/(dx)=(x-1)/(3x^2-6x-1)	\frac{dy}{dx}=\frac{x-1}{3x^{2}-6x-1}
integral de (ln(x))2	\int\:(\ln(x))2dx
derivative (ln(x))/(ln(2))	derivative\:\frac{\ln(x)}{\ln(2)}
integral de (sqrt(4x^2+9))/(x^4)	\int\:\frac{\sqrt{4x^{2}+9}}{x^{4}}dx
integral de x/(sqrt(9+x^4))	\int\:\frac{x}{\sqrt{9+x^{4}}}dx
taylor (1+0.5x)/(1-0.5x)	taylor\:\frac{1+0.5x}{1-0.5x}
derivada de (3x/(2x^2+1))	\frac{d}{dx}(\frac{3x}{2x^{2}+1})
(\partial)/(\partial x)(1/2 (x^2+6y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{2}(x^{2}+6y^{2}))
tangent f(x)=x(x^2-4x+5)^4,\at x=2	tangent\:f(x)=x(x^{2}-4x+5)^{4},\at\:x=2
inversalaplace 1/(s^2+2s-3)	inverselaplace\:\frac{1}{s^{2}+2s-3}
integral de (e^{-st})/s	\int\:\frac{e^{-st}}{s}dt
integral de ln(6x+1)	\int\:\ln(6x+1)dx
derivada de sin(e^x-1)	\frac{d}{dx}(\sin(e^{x}-1))
tangent 4x^3-4x^2+3	tangent\:4x^{3}-4x^{2}+3
serie de n=1 a infinity de (n^3)/(e^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{3}}{e^{n}}
límite cuando x tiende a 1+de x^{8/(1-x)}	\lim\:_{x\to\:1+}(x^{\frac{8}{1-x}})
límite cuando x tiende a 0-de \|x\|	\lim\:_{x\to\:0-}(\left\|x\right\|)
(\partial)/(\partial y)(e^{3x}sin(3y))	\frac{\partial\:}{\partial\:y}(e^{3x}\sin(3y))
tangent f(x)=(-2x)/(x^2+1)	tangent\:f(x)=\frac{-2x}{x^{2}+1}
serie de n=1 a infinity de (2n+1)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{2n+1}{4^{n}}
integral de 0 a sqrt(7 de)(x^3)/(\sqrt[3]{1+x^2)}	\int\:_{0}^{\sqrt{7}}\frac{x^{3}}{\sqrt[3]{1+x^{2}}}dx
límite cuando x tiende a 3 de ((-4)(0))/4	\lim\:_{x\to\:3}(\frac{(-4)(0)}{4})
derivative (x^7+2)/(x^7)	derivative\:\frac{x^{7}+2}{x^{7}}
tangent 11-x^2(3.2)	tangent\:11-x^{2}(3.2)
integral de tan^4(6x)sec^2(6x)	\int\:\tan^{4}(6x)\sec^{2}(6x)dx
(\partial)/(\partial y)(sqrt(y^2-9))	\frac{\partial\:}{\partial\:y}(\sqrt{y^{2}-9})
(dy)/(dx)=-(4x+4y)/(4x+9y)	\frac{dy}{dx}=-\frac{4x+4y}{4x+9y}
límite cuando x tiende a 2+de (x-3)/(x^2-4)	\lim\:_{x\to\:2+}(\frac{x-3}{x^{2}-4})
(\partial)/(\partial y)(x^4+8xy^7)	\frac{\partial\:}{\partial\:y}(x^{4}+8xy^{7})
integral de (ln\|x\|)/x	\int\:\frac{\ln\left\|x\right\|}{x}dx
derivative f(t)=(3t-1)^4(2t+1)^{-3}	derivative\:f(t)=(3t-1)^{4}(2t+1)^{-3}
límite cuando x tiende a 0 de (tan(kx))/x	\lim\:_{x\to\:0}(\frac{\tan(kx)}{x})
integral de z^3e^z	\int\:z^{3}e^{z}dz
derivada de arctan(ln(x^2))	\frac{d}{dx}(\arctan(\ln(x^{2})))
derivada de ln(sqrt(2x))	\frac{d}{dx}(\ln(\sqrt{2x}))
integral de 8/(x+1)	\int\:\frac{8}{x+1}dx
(\partial)/(\partial x)(5/(5x+3y))	\frac{\partial\:}{\partial\:x}(\frac{5}{5x+3y})
inversalaplace (10)/(s(s+2)(s+3)^2)	inverselaplace\:\frac{10}{s(s+2)(s+3)^{2}}
límite cuando x tiende a 0-de xsin(1/x)	\lim\:_{x\to\:0-}(x\sin(\frac{1}{x}))
xy^'+y=-5xy^2,y(1)=7	xy^{\prime\:}+y=-5xy^{2},y(1)=7
integral de arccot(2y)	\int\:\arccot(2y)dy
y^'=(xy^3)/(16)	y^{\prime\:}=\frac{xy^{3}}{16}
integral de x^2(4-2x^2)	\int\:x^{2}(4-2x^{2})dx
derivative f(x)=sqrt(x)(x^3-x)	derivative\:f(x)=\sqrt{x}(x^{3}-x)
derivada de (6x-3/(5x+8))	\frac{d}{dx}(\frac{6x-3}{5x+8})
integral de (4x-11)/(2x^2-11x+15)	\int\:\frac{4x-11}{2x^{2}-11x+15}dx
(\partial)/(\partial y)(2x+arctan(y^2))	\frac{\partial\:}{\partial\:y}(2x+\arctan(y^{2}))
integral de e^{5/2 x}	\int\:e^{\frac{5}{2}x}dx
integral de xcos(4pix^2)	\int\:x\cos(4πx^{2})dx
derivada de x^3(x-1^4)	\frac{d}{dx}(x^{3}(x-1)^{4})
(\partial)/(\partial x)(e^xydy)	\frac{\partial\:}{\partial\:x}(e^{x}\cdot\:y\cdot\:dy)
derivada de e^{-bx}	\frac{d}{dx}(e^{-bx})
integral de 64e^{4x}sin(4x)	\int\:64e^{4x}\sin(4x)dx
integral de (e^y)^2	\int\:(e^{y})^{2}dy
límite cuando x tiende a 0+de 1/(xln(x))	\lim\:_{x\to\:0+}(\frac{1}{x\ln(x)})
integral de 1/(x^6)+3/(x^2)	\int\:\frac{1}{x^{6}}+\frac{3}{x^{2}}dx
derivative 2xe^x+e^xx^2	derivative\:2xe^{x}+e^{x}x^{2}
derivative y=e^{-7x^2}	derivative\:y=e^{-7x^{2}}
derivative 10^{sqrt(x)}	derivative\:10^{\sqrt{x}}
integral de 0 a pi de e^{-st}sin(t)	\int\:_{0}^{π}e^{-st}\sin(t)dt
derivada de (cos(x)/(2+sin(x)))	\frac{d}{dx}(\frac{\cos(x)}{2+\sin(x)})
(dy)/(dx)=e^{4x+2y}	\frac{dy}{dx}=e^{4x+2y}
integral de ((x^2+7)^{2021})x	\int\:((x^{2}+7)^{2021})xdx
integral de 1 a 2 de (x^2+1)/(3x-x^2)	\int\:_{1}^{2}\frac{x^{2}+1}{3x-x^{2}}dx
derivada de (x+(x+sin^2(x)^3)^4)	\frac{d}{dx}((x+(x+\sin^{2}(x))^{3})^{4})
límite cuando x tiende a-4 de (x^2)/(4x+16)	\lim\:_{x\to\:-4}(\frac{x^{2}}{4x+16})
integral de-1/3 a 1/3 de 1/(1-x^2)	\int\:_{-\frac{1}{3}}^{\frac{1}{3}}\frac{1}{1-x^{2}}dx
integral de x/(\sqrt[4]{x)}	\int\:\frac{x}{\sqrt[4]{x}}dx
integral de sin(x^{1/2})	\int\:\sin(x^{\frac{1}{2}})dx
(\partial)/(\partial y)(xln(y))	\frac{\partial\:}{\partial\:y}(x\ln(y))
x(dy)/(dx)+3y=x^3-x	x\frac{dy}{dx}+3y=x^{3}-x
derivative e^{-x+1}-x*e^{-x+1}	derivative\:e^{-x+1}-x\cdot\:e^{-x+1}
integral de 14sin^3(x)cos^2(x)	\int\:14\sin^{3}(x)\cos^{2}(x)dx
integral de (5sqrt(x))/(x^3+1)	\int\:\frac{5\sqrt{x}}{x^{3}+1}dx
y^'+2ty^2=0,y(1)= 1/5	y^{\prime\:}+2ty^{2}=0,y(1)=\frac{1}{5}
límite cuando x tiende a 0+de 1/(2x)	\lim\:_{x\to\:0+}(\frac{1}{2x})
integral de (cos(4x))	\int\:(\cos(4x))dx
derivada de (x^3+x^2+x+5ln(5x^2-7))	\frac{d}{dx}((x^{3}+x^{2}+x+5)\ln(5x^{2}-7))
derivada de 8x^{-2}	\frac{d}{dx}(8x^{-2})
integral de (x^5-4x^3)/(sqrt(x))	\int\:\frac{x^{5}-4x^{3}}{\sqrt{x}}dx
inversalaplace ((s+5))/((s+3)(s+7))	inverselaplace\:\frac{(s+5)}{(s+3)(s+7)}
derivative f(x)=2x-(16)/(sqrt(x))	derivative\:f(x)=2x-\frac{16}{\sqrt{x}}
derivative 6cos(x)+3sin^2(x)	derivative\:6\cos(x)+3\sin^{2}(x)
derivada de 1/(sqrt(2\sqrt{x)})	\frac{d}{dx}(\frac{1}{\sqrt{2}\sqrt{x}})
derivada de 2x+sqrt(x)	\frac{d}{dx}(2x+\sqrt{x})
derivada de x^4-4x^2	\frac{d}{dx}(x^{4}-4x^{2})
(dy)/(dt)+e^ty=9e^t	\frac{dy}{dt}+e^{t}y=9e^{t}
(dy)/(dx)=6y^2x	\frac{dy}{dx}=6y^{2}x
normal y=x^2-5x+3,(2,-3)	normal\:y=x^{2}-5x+3,(2,-3)

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