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Problemas populares Cálculo

integral de 11(tan(x))(ln(cos(x)))	\int\:11(\tan(x))(\ln(\cos(x)))dx
inverselaplace (1/7)/(s^2+19980/7)	inverselaplace\:\frac{\frac{1}{7}}{s^{2}+\frac{19980}{7}}
integral de t^{-1/2}(t^4+2t^2-1)	\int\:t^{-\frac{1}{2}}(t^{4}+2t^{2}-1)dt
integral de sin(s)	\int\:\sin(s)ds
laplacetransform-4t^2+16t+9	laplacetransform\:-4t^{2}+16t+9
(\partial)/(\partial x)(4x(2+y)^{-1})	\frac{\partial\:}{\partial\:x}(4x(2+y)^{-1})
tangent f(x)= x/(1+x^2),\at x=2	tangent\:f(x)=\frac{x}{1+x^{2}},\at\:x=2
integral de x/(x-10)	\int\:\frac{x}{x-10}dx
área 9.86x^2,4.92x-x^2	area\:9.86x^{2},4.92x-x^{2}
(\partial)/(\partial t)(t^3)	\frac{\partial\:}{\partial\:t}(t^{3})
derivative 5-6/x	derivative\:5-\frac{6}{x}
área sqrt(x)+2,0,1,4	area\:\sqrt{x}+2,0,1,4
derivative e^{z/(z-2)}	derivative\:e^{\frac{z}{z-2}}
normal f(x)=4x^2+7,(-3,43)	normal\:f(x)=4x^{2}+7,(-3,43)
81y^{''}-16y=0	81y^{\prime\:\prime\:}-16y=0
límite cuando x tiende a 7 de 0	\lim\:_{x\to\:7}(0)
integral de 0 a 5 de x^2-5x	\int\:_{0}^{5}x^{2}-5xdx
(1+x)y^'+2y=(sin(x))/(1+x)	(1+x)y^{\prime\:}+2y=\frac{\sin(x)}{1+x}
integral de sin(5θ)sin(θ)	\int\:\sin(5θ)\sin(θ)dθ
(\partial)/(\partial x)(9xe^{4xy})	\frac{\partial\:}{\partial\:x}(9xe^{4xy})
(\partial}{\partial x}(\frac{x+y)/2)	\frac{\partial\:}{\partial\:x}(\frac{x+y}{2})
inverselaplace 3/((s+1)^2)	inverselaplace\:\frac{3}{(s+1)^{2}}
serie de n=1 a infinity de (4^n)/(2^n)	\sum\:_{n=1}^{\infty\:}\frac{4^{n}}{2^{n}}
pendiente xy-3y^2=8,(14,4)	slope\:xy-3y^{2}=8,(14,4)
integral de sqrt(x)e^{-sqrt(x)}	\int\:\sqrt{x}e^{-\sqrt{x}}dx
derivada de (sqrt(2x)/(ln(x)))	\frac{d}{dx}(\frac{\sqrt{2x}}{\ln(x)})
derivada de (x^3/(1-x^3))	\frac{d}{dx}(\frac{x^{3}}{1-x^{3}})
(\partial)/(\partial x)(x+e^z+y)	\frac{\partial\:}{\partial\:x}(x+e^{z}+y)
integral de 4sin(2x)-3cos(3x)	\int\:4\sin(2x)-3\cos(3x)dx
normal f(x)=x^4+5x-2,(1,4)	normal\:f(x)=x^{4}+5x-2,(1,4)
integral de (e^{4sqrt(r)})/(sqrt(r))	\int\:\frac{e^{4\sqrt{r}}}{\sqrt{r}}dr
límite cuando x tiende a-3-de (x+4)/(x+3)	\lim\:_{x\to\:-3-}(\frac{x+4}{x+3})
integral de 1/(7-6x)	\int\:\frac{1}{7-6x}dx
límite cuando x tiende a 5-de (x+1)/(x-5)	\lim\:_{x\to\:5-}(\frac{x+1}{x-5})
f(x)=-cos(x)	f(x)=-\cos(x)
derivada de x(2x+1^3)	\frac{d}{dx}(x(2x+1)^{3})
tangent f(x)=(4x^2-3x)^2,\at x=1	tangent\:f(x)=(4x^{2}-3x)^{2},\at\:x=1
integral de (x^2+20x-4)/(x^3-4x)	\int\:\frac{x^{2}+20x-4}{x^{3}-4x}dx
(\partial)/(\partial z)(xy^2e^{-xz})	\frac{\partial\:}{\partial\:z}(xy^{2}e^{-xz})
(12x^2-20y^2)dx+(-20xy+36x^{-1}y^3)dy=0	(12x^{2}-20y^{2})dx+(-20xy+36x^{-1}y^{3})dy=0
integral de e^{sqrt(x)}	\int\:e^{\sqrt{x}}dx
integral de (x^2)/(sqrt(x+2))	\int\:\frac{x^{2}}{\sqrt{x+2}}dx
normal y=5x^3+4x^2-6,(1,3)	normal\:y=5x^{3}+4x^{2}-6,(1,3)
integral de e^{-2x}*sin(x)	\int\:e^{-2x}\cdot\:\sin(x)dx
límite cuando x tiende a 2 de (-2)^3	\lim\:_{x\to\:2}((-2)^{3})
(\partial)/(\partial x)((xy)/((x+y)))	\frac{\partial\:}{\partial\:x}(\frac{xy}{(x+y)})
derivada de-1/(1+x^2)	\frac{d}{dx}(-\frac{1}{1+x^{2}})
d/(dy)(4y^2)	\frac{d}{dy}(4y^{2})
maclaurin ln(x+sqrt(x^2-1))	maclaurin\:\ln(x+\sqrt{x^{2}-1})
derivada de sqrt(6x+6x^2)	\frac{d}{dx}(\sqrt{6x+6x^{2}})
(dv)/(dt)=0.025*7-v/(2000),v(0)=100	\frac{dv}{dt}=0.025\cdot\:7-\frac{v}{2000},v(0)=100
integral de 4 a 10 de 0.13x	\int\:_{4}^{10}0.13xdx
integral de 7-x	\int\:7-xdx
integral de 3e^{2x}	\int\:3e^{2x}dx
(\partial)/(\partial y)(x^2y+xy^3)	\frac{\partial\:}{\partial\:y}(x^{2}y+xy^{3})
(\partial)/(\partial x)(cos(x)cos(y))	\frac{\partial\:}{\partial\:x}(\cos(x)\cos(y))
(dx)/(dt)=(457.8-7x)/(2180)	\frac{dx}{dt}=\frac{457.8-7x}{2180}
derivative (1-e^{x^3})^5	derivative\:(1-e^{x^{3}})^{5}
límite cuando x tiende a 1-de x^2-2	\lim\:_{x\to\:1-}(x^{2}-2)
tangent y=(x^2-1)/(x^2+x+1),(1,0)	tangent\:y=\frac{x^{2}-1}{x^{2}+x+1},(1,0)
y^{''}+4y^'+5y=cos(2x)	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=\cos(2x)
inverselaplace 1/((x^2+1)*x)	inverselaplace\:\frac{1}{(x^{2}+1)\cdot\:x}
integral de xsin(1/4 x)	\int\:x\sin(\frac{1}{4}x)dx
integral de 3x^2\sqrt[3]{2x^3+5}	\int\:3x^{2}\sqrt[3]{2x^{3}+5}dx
(\partial)/(\partial s)(3sqrt(s^2+t^2))	\frac{\partial\:}{\partial\:s}(3\sqrt{s^{2}+t^{2}})
FUNCTION_MANY#domain f(x)=(x^4+1)^7	FUNCTION_MANY#domain\:f(x)=(x^{4}+1)^{7}
(dy)/(dx)=x-y,y(0)=2	\frac{dy}{dx}=x-y,y(0)=2
límite cuando x tiende a 0 de ln(1/(x^2))	\lim\:_{x\to\:0}(\ln(\frac{1}{x^{2}}))
(\partial)/(\partial z)(y^2z)	\frac{\partial\:}{\partial\:z}(y^{2}z)
integral de 0 a N de e^{-st}cos(3t)	\int\:_{0}^{N}e^{-st}\cos(3t)dt
tangent y=4x-3x^2,(2,-4)	tangent\:y=4x-3x^{2},(2,-4)
derivative (x+2)^2	derivative\:(x+2)^{2}
(dy)/(dx)-1/x y=-9	\frac{dy}{dx}-\frac{1}{x}y=-9
integral de (5x^3+2x)/(x-1)	\int\:\frac{5x^{3}+2x}{x-1}dx
derivada de 2+4cos(x^3+3sin(x^3))	\frac{d}{dx}(2+4\cos(x^{3})+3\sin(x^{3}))
derivada de ln(\sqrt[4]{(x-1/(x+1)}))	\frac{d}{dx}(\ln(\sqrt[4]{\frac{x-1}{x+1}}))
derivative f(x)= 1/5 x^2+(200000)/x	derivative\:f(x)=\frac{1}{5}x^{2}+\frac{200000}{x}
(1+x^2)y^{''}+y^'x+ax=0	(1+x^{2})y^{\prime\:\prime\:}+y^{\prime\:}x+ax=0
f(t)=3cos(t)	f(t)=3\cos(t)
integral de (sec(x))/(2sec(x)+1)	\int\:\frac{\sec(x)}{2\sec(x)+1}dx
tangent x^2+y^2=100,(-6,8)	tangent\:x^{2}+y^{2}=100,(-6,8)
integral de-xcos((nxpi)/l)	\int\:-x\cos(\frac{nxπ}{l})dx
derivada de 4x^3-3	\frac{d}{dx}(4x^{3}-3)
(e^t+e^{-t})(dx)/(dt)=x^2	(e^{t}+e^{-t})\frac{dx}{dt}=x^{2}
x^2y^{''}+xy^'+y=0	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+y=0
integral de 5sec^3(x)	\int\:5\sec^{3}(x)dx
derivada de e^{2x}sin(2x)	\frac{d}{dx}(e^{2x}\sin(2x))
derivada de ((sqrt(x))/(x+1))	\frac{d}{dx}(\frac{(\sqrt{x})}{x+1})
derivada de (x^2+1e^{-x})	\frac{d}{dx}((x^{2}+1)e^{-x})
derivative y=(7x-3)/(5x+4)+x^3	derivative\:y=\frac{7x-3}{5x+4}+x^{3}
integral de 8e^{2x}	\int\:8e^{2x}dx
derivada de (x^2+5^3)	\frac{d}{dx}((x^{2}+5)^{3})
d/(dt)(3e^{2t})	\frac{d}{dt}(3e^{2t})
integral de cos^2(2aθ)	\int\:\cos^{2}(2aθ)dθ
(\partial)/(\partial x)(5(x-4)y^3)	\frac{\partial\:}{\partial\:x}(5\cdot\:(x-4)\cdot\:y^{3})
derivada de (2x-1^{1/2})	\frac{d}{dx}((2x-1)^{\frac{1}{2}})
integral de 3/(5x^2+5)	\int\:\frac{3}{5x^{2}+5}dx
integral de (\sqrt[4]{x}+\sqrt[5]{x})	\int\:(\sqrt[4]{x}+\sqrt[5]{x})dx
(9x+0.8x^2+0.07x^3)^'	(9x+0.8x^{2}+0.07x^{3})^{\prime\:}
derivative y=sqrt(cos(x))	derivative\:y=\sqrt{\cos(x)}

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