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Problemas populares Cálculo

integral de ((sqrt(x)+8)^6)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+8)^{6}}{2\sqrt{x}}dx
derivative 6-6x	derivative\:6-6x
integral de (sqrt(x^3))	\int\:(\sqrt{x^{3}})dx
derivative y=ln(x+1)	derivative\:y=\ln(x+1)
derivada de (sin(ln(x))^2)	\frac{d}{dx}((\sin(\ln(x)))^{2})
integral de 6/(35sin(x)-12cos(x))	\int\:\frac{6}{35\sin(x)-12\cos(x)}dx
y^{''}+2y^'+3y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+3y=0,y(0)=1,y^{\prime\:}(0)=0
inverselaplace tcos(3t)	inverselaplace\:t\cos(3t)
tangent x^3+y^3=3xy,(3/2 , 3/2)	tangent\:x^{3}+y^{3}=3xy,(\frac{3}{2},\frac{3}{2})
(\partial)/(\partial x)(5e^{4x})	\frac{\partial\:}{\partial\:x}(5e^{4x})
derivative (1+8x)/(9-2x)	derivative\:\frac{1+8x}{9-2x}
límite cuando x tiende a 1 de 9sqrt(3x^2+1)	\lim\:_{x\to\:1}(9\sqrt{3x^{2}+1})
y^'=12x	y^{\prime\:}=12x
derivada de 2/(sqrt(x+1))	\frac{d}{dx}(\frac{2}{\sqrt{x+1}})
integral de (2x)/(sqrt(1-x^4))	\int\:\frac{2x}{\sqrt{1-x^{4}}}dx
pendiente (-2.9)(-1.7)	slope\:(-2.9)(-1.7)
derivada de sin^{sqrt(x)}(x)	\frac{d}{dx}(\sin^{\sqrt{x}}(x))
tangent f(x)=5x-9x^2,\at x=1	tangent\:f(x)=5x-9x^{2},\at\:x=1
derivada de-8cos(x)	\frac{d}{dx}(-8\cos(x))
derivative e^xx+2e^x	derivative\:e^{x}x+2e^{x}
integral de (8+x)/(sqrt(64-x^2))	\int\:\frac{8+x}{\sqrt{64-x^{2}}}dx
integral de 4+8cos(θ)+4cos^2(θ)	\int\:4+8\cos(θ)+4\cos^{2}(θ)dθ
x^2+y^'=x^2	x^{2}+y^{\prime\:}=x^{2}
(\partial)/(\partial x)(6xe^y)	\frac{\partial\:}{\partial\:x}(6xe^{y})
integral de (-4(ln(x))^4)/x	\int\:\frac{-4(\ln(x))^{4}}{x}dx
derivative f(x)=(x^2+9)/(sqrt(x))	derivative\:f(x)=\frac{x^{2}+9}{\sqrt{x}}
integral de 3csc^2(t)-5sec(t)tan(t)	\int\:3\csc^{2}(t)-5\sec(t)\tan(t)dt
límite cuando x tiende a 8-de 1/((x-8)^2)	\lim\:_{x\to\:8-}(\frac{1}{(x-8)^{2}})
integral de xe^{2x+1}	\int\:xe^{2x+1}dx
límite cuando x tiende a 0 de x/(x^2-6x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-6x})
tangent f(x)=(5x-7)/(x+1),\at x=0	tangent\:f(x)=\frac{5x-7}{x+1},\at\:x=0
tangent f(x)=x^2-2,\at x=-5	tangent\:f(x)=x^{2}-2,\at\:x=-5
límite cuando x tiende a 0 de 2x^2-9x+5	\lim\:_{x\to\:0}(2x^{2}-9x+5)
derivative 1/((x^2+1)^4)	derivative\:\frac{1}{(x^{2}+1)^{4}}
(\partial)/(\partial z)(x^2y+y^2z)	\frac{\partial\:}{\partial\:z}(x^{2}y+y^{2}z)
serie de n=1 a infinity de n/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{n}{n(n+3)}
(\partial)/(\partial x)(4e^{x-y})	\frac{\partial\:}{\partial\:x}(4e^{x-y})
(dy)/(dx)=e^{2.3x-1.9y}	\frac{dy}{dx}=e^{2.3x-1.9y}
integral de sec^4((3x)/2)tan^2((3x)/2)	\int\:\sec^{4}(\frac{3x}{2})\tan^{2}(\frac{3x}{2})dx
inverselaplace-(e^{-s})/(((s^2+4)*s^2))	inverselaplace\:-\frac{e^{-s}}{((s^{2}+4)\cdot\:s^{2})}
integral de 4xy^2+3x^2	\int\:4xy^{2}+3x^{2}dx
derivative y=cos(a^8+x^8)	derivative\:y=\cos(a^{8}+x^{8})
derivada de 2csc^2(xcot(x))	\frac{d}{dx}(2\csc^{2}(x)\cot(x))
derivada de (4x^{2/3}/(x^2+1))	\frac{d}{dx}(\frac{4x^{\frac{2}{3}}}{x^{2}+1})
integral de 1/((x+1)sqrt(x^2+2x-15))	\int\:\frac{1}{(x+1)\sqrt{x^{2}+2x-15}}dx
límite cuando x tiende a 3+de 2/(x^2-9)	\lim\:_{x\to\:3+}(\frac{2}{x^{2}-9})
derivative (e^x)/(5x^6)	derivative\:\frac{e^{x}}{5x^{6}}
límite cuando x tiende a-3 de 2x^2+3x	\lim\:_{x\to\:-3}(2x^{2}+3x)
integral de 1/(at+b)	\int\:\frac{1}{at+b}dt
slopeintercept (1,-1),(-1,-2)	slopeintercept\:(1,-1),(-1,-2)
integral de 0 a 1 de xe^{-x^2}	\int\:_{0}^{1}xe^{-x^{2}}dx
integral de-1/(1+x^2)	\int\:-\frac{1}{1+x^{2}}dx
integral de sin(-1(x))	\int\:\sin(-1(x))dx
límite cuando x tiende a 0-de (sec(x))/x	\lim\:_{x\to\:0-}(\frac{\sec(x)}{x})
y^{''}+6y^'+6y=0,y(0)=1,y^'(0)=2	y^{\prime\:\prime\:}+6y^{\prime\:}+6y=0,y(0)=1,y^{\prime\:}(0)=2
derivada de (x-1^2+y^2)	\frac{d}{dx}((x-1)^{2}+y^{2})
derivative f(x)=x^3+2x	derivative\:f(x)=x^{3}+2x
tangent 2x^3+4x^2-x+2	tangent\:2x^{3}+4x^{2}-x+2
derivative y=(x-4)/x	derivative\:y=\frac{x-4}{x}
límite cuando x tiende a-10 de f(x)	\lim\:_{x\to\:-10}(f(x))
límite cuando x tiende a 3-de (x+3)/(x^2-9)	\lim\:_{x\to\:3-}(\frac{x+3}{x^{2}-9})
integral de 4/(sqrt(e^t))	\int\:\frac{4}{\sqrt{e^{t}}}dt
integral de 1/(4sin(x)+3cos(x))	\int\:\frac{1}{4\sin(x)+3\cos(x)}dx
derivada de e^{-x^2-y^2}cos(xy)	\frac{d}{dx}(e^{-x^{2}-y^{2}}\cos(xy))
serie de n=1 a infinity de n^2e^{-n^3}	\sum\:_{n=1}^{\infty\:}n^{2}e^{-n^{3}}
inverselaplace 6/(s^2+9)	inverselaplace\:\frac{6}{s^{2}+9}
límite cuando x tiende a 3-de 2/((x-3))	\lim\:_{x\to\:3-}(\frac{2}{(x-3)})
(\partial)/(\partial u(v))((e^v)/(u(v)+v^9))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{9}})
integral de (\sqrt[4]{x})/(4+sqrt(x))	\int\:\frac{\sqrt[4]{x}}{4+\sqrt{x}}dx
derivative 0.3x^35^x	derivative\:0.3x^{3}5^{x}
derivative sqrt(5x^2-x)	derivative\:\sqrt{5x^{2}-x}
(d^2)/(dx^2)(x^{1/3})	\frac{d^{2}}{dx^{2}}(x^{\frac{1}{3}})
integral de-1 a 3 de x^2e^{x^3+1}	\int\:_{-1}^{3}x^{2}e^{x^{3}+1}dx
integral de cot(14x)	\int\:\cot(14x)dx
integral de sec^2(2y)	\int\:\sec^{2}(2y)dy
derivada de 4(x+2^{3/2})	\frac{d}{dx}(4(x+2)^{\frac{3}{2}})
(dy)/(dt)=-y/t-6	\frac{dy}{dt}=-\frac{y}{t}-6
integral de ((e^x))/(e^{2x)+1}	\int\:\frac{(e^{x})}{e^{2x}+1}dx
serie de n=1 a infinity de (1^n)/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{1^{n}}{3^{n}}
inverselaplace s/(2s+1)	inverselaplace\:\frac{s}{2s+1}
(dy)/(dx)+3/x y=16y^3,y(1)=1	\frac{dy}{dx}+\frac{3}{x}y=16y^{3},y(1)=1
integral de-2 a 2 de 2-sqrt(4-x^2)	\int\:_{-2}^{2}2-\sqrt{4-x^{2}}dx
inverselaplace 1/(s+5)	inverselaplace\:\frac{1}{s+5}
tangent f(x)=-5x^2,\at x=8	tangent\:f(x)=-5x^{2},\at\:x=8
x(x+1)((dy)/(dx))+xy=1,y(e)=1	x(x+1)(\frac{dy}{dx})+xy=1,y(e)=1
integral de 1/(sqrt(9x-7))	\int\:\frac{1}{\sqrt{9x-7}}dx
y=y^'	y=y^{\prime\:}
d/(dy)(e^{-1/(y^3)})	\frac{d}{dy}(e^{-\frac{1}{y^{3}}})
derivada de ((x(x-1)/(2x^2(x+1)))^3)	\frac{d}{dx}((\frac{x(x-1)}{2x^{2}(x+1)})^{3})
derivative 11sqrt(x)	derivative\:11\sqrt{x}
y^{''}-y^'-12y=e^{4x}	y^{\prime\:\prime\:}-y^{\prime\:}-12y=e^{4x}
integral de (sin(x)tan(x))/1	\int\:\frac{\sin(x)\tan(x)}{1}dx
integral de 0 a 4 de 1/(sqrt(16-x^2))	\int\:_{0}^{4}\frac{1}{\sqrt{16-x^{2}}}dx
límite cuando x tiende a 0+de x^{2x}	\lim\:_{x\to\:0+}(x^{2x})
(\partial)/(\partial t)(e^t)	\frac{\partial\:}{\partial\:t}(e^{t})
serie de n=2 a infinity de (x^n)/n	\sum\:_{n=2}^{\infty\:}\frac{x^{n}}{n}
dy+(3x^2y-x^2)dx=0	dy+(3x^{2}y-x^{2})dx=0
integral de cos(x+y)	\int\:\cos(x+y)dx
área 9-x^2,4x	area\:9-x^{2},4x
integral de 9-3x	\int\:9-3xdx

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