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Problemas populares Cálculo

(\partial)/(\partial x)(2xcos(x^2+y^2))	\frac{\partial\:}{\partial\:x}(2x\cos(x^{2}+y^{2}))
(dy)/(dt)=yr(1000-y)	\frac{dy}{dt}=yr(1000-y)
área y=sec^2(x),y=8cos(x),-pi/3 , pi/3	area\:y=\sec^{2}(x),y=8\cos(x),-\frac{π}{3},\frac{π}{3}
integral de 1 a infinity de (ln(x))/(x^{3/2)}	\int\:_{1}^{\infty\:}\frac{\ln(x)}{x^{\frac{3}{2}}}dx
derivada de 1000(1+x/(12)^{60})	\frac{d}{dx}(1000(1+\frac{x}{12})^{60})
derivative f(x)=(1-x)(x^2-7)^2	derivative\:f(x)=(1-x)(x^{2}-7)^{2}
inverselaplace (10)/(s(s^2+8s+25))	inverselaplace\:\frac{10}{s(s^{2}+8s+25)}
(\partial)/(\partial x)(xarctan(yz))	\frac{\partial\:}{\partial\:x}(x\arctan(yz))
límite cuando x tiende a 0 de (sin(x/2))/x	\lim\:_{x\to\:0}(\frac{\sin(\frac{x}{2})}{x})
límite cuando x tiende a infinity de (1+x)^{2/x}	\lim\:_{x\to\:\infty\:}((1+x)^{\frac{2}{x}})
y^{''}-4y^'+3y=0,y(0)=2,y^'(0)=3	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=0,y(0)=2,y^{\prime\:}(0)=3
integral de 0 a 2 de sqrt(5)	\int\:_{0}^{2}\sqrt{5}dx
(\partial)/(\partial x)(xy^9-x^2y)	\frac{\partial\:}{\partial\:x}(xy^{9}-x^{2}y)
límite cuando x tiende a 6 de sqrt(x^2+13)	\lim\:_{x\to\:6}(\sqrt{x^{2}+13})
(dy)/(dx)=2xy^4	\frac{dy}{dx}=2xy^{4}
límite cuando x tiende a 3 de (x+3)/(x^2-9)	\lim\:_{x\to\:3}(\frac{x+3}{x^{2}-9})
inverselaplace (2s+2)/(s+10)	inverselaplace\:\frac{2s+2}{s+10}
(\partial)/(\partial y)(3x^2-2y^3+6xy^2-8)	\frac{\partial\:}{\partial\:y}(3x^{2}-2y^{3}+6xy^{2}-8)
tangent 2cos(x)+cos^2(x)	tangent\:2\cos(x)+\cos^{2}(x)
límite cuando x tiende a-2-de 1/(x+2)	\lim\:_{x\to\:-2-}(\frac{1}{x+2})
f(x)=9ln(x)	f(x)=9\ln(x)
(\partial)/(\partial x)((2xy^2)/(1+x^2y^2))	\frac{\partial\:}{\partial\:x}(\frac{2xy^{2}}{1+x^{2}y^{2}})
(d^2y)/(dx^2)-3(dy)/(dx)+2y=0	\frac{d^{2}y}{dx^{2}}-3\frac{dy}{dx}+2y=0
x^{''}+9x=27,x(0)=4,x^'(0)=6	x^{\prime\:\prime\:}+9x=27,x(0)=4,x^{\prime\:}(0)=6
serie de n=1 a infinity de (2n)/(5n-4)	\sum\:_{n=1}^{\infty\:}\frac{2n}{5n-4}
tangent y=x^3-3x^2+25	tangent\:y=x^{3}-3x^{2}+25
derivada de arctan(sec(x+tan(x)))	\frac{d}{dx}(\arctan(\sec(x)+\tan(x)))
derivada de 5/(sqrt(x+1))	\frac{d}{dx}(\frac{5}{\sqrt{x+1}})
derivative 2/(1+x^2)	derivative\:\frac{2}{1+x^{2}}
integral de 1/(x^2+12x+85)	\int\:\frac{1}{x^{2}+12x+85}dx
derivative te^{-3t}	derivative\:te^{-3t}
derivada de ln(xcsch(7x))	\frac{d}{dx}(\ln(x)\csch(7x))
(\partial)/(\partial x)(y/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{y}{x^{2}+y^{2}})
integral de sin(x)+y	\int\:\sin(x)+ydx
(\partial)/(\partial y)((2xy^2)/(3+x^2y^2))	\frac{\partial\:}{\partial\:y}(\frac{2xy^{2}}{3+x^{2}y^{2}})
integral de x^7arctan(x^4)	\int\:x^{7}\arctan(x^{4})dx
derivada de 4x^2+1/(x^2+3x^4)	\frac{d}{dx}(4x^{2}+\frac{1}{x^{2}}+3x^{4})
derivada de 8x-5	\frac{d}{dx}(8x-5)
derivada de tan(x^x)	\frac{d}{dx}(\tan(x^{x}))
3x(xy-2)dx+(x^3+2y)dy=0	3x(xy-2)dx+(x^{3}+2y)dy=0
derivada de (arcsec((x^2/2))^{3x})	\frac{d}{dx}((\arcsec(\frac{x^{2}}{2}))^{3x})
integral de e^{sin(x)}sin(2x)	\int\:e^{\sin(x)}\sin(2x)dx
límite cuando x tiende a 5 de g(x)	\lim\:_{x\to\:5}(g(x))
integral de 1/48 x	\int\:\frac{1}{48}xdx
derivative (10x+8x^2)/((5+8x)^2)	derivative\:\frac{10x+8x^{2}}{(5+8x)^{2}}
integral de (6x^2)(2x^3+1)^2	\int\:(6x^{2})(2x^{3}+1)^{2}dx
derivative 2sec(θ)	derivative\:2\sec(θ)
derivative f(x)=tan(2x)	derivative\:f(x)=\tan(2x)
límite cuando x tiende a 0+de (1+2x)^{4/x}	\lim\:_{x\to\:0+}((1+2x)^{\frac{4}{x}})
x^3(d^3y)/(dx^3)+2x^2(d^2y)/(dx^2)-x(dy)/(dx)+y=12x^2	x^{3}\frac{d^{3}y}{dx^{3}}+2x^{2}\frac{d^{2}y}{dx^{2}}-x\frac{dy}{dx}+y=12x^{2}
integral de z(ln(z))^2	\int\:z(\ln(z))^{2}dz
(\partial)/(\partial y)(cos(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\cos(x^{2}+y^{2}))
integral de (3x+5)cos(x/4)	\int\:(3x+5)\cos(\frac{x}{4})dx
derivative 3(e^xcos(x)-e^xsin(x))	derivative\:3(e^{x}\cos(x)-e^{x}\sin(x))
derivative 5e^{-6x}	derivative\:5e^{-6x}
d/(dt)((3t^2-3)/(2t))	\frac{d}{dt}(\frac{3t^{2}-3}{2t})
derivada de x^2+2x+6	\frac{d}{dx}(x^{2}+2x+6)
integral de 0 a 1 de (27)/(4y-1)	\int\:_{0}^{1}\frac{27}{4y-1}dy
serie de n=1 a infinity de 10^nx^nn!	\sum\:_{n=1}^{\infty\:}10^{n}x^{n}n!
derivative 2sqrt(x)+5	derivative\:2\sqrt{x}+5
slopeintercept (4)(8.6)	slopeintercept\:(4)(8.6)
derivative f(x)=(4x+1)	derivative\:f(x)=(4x+1)
(\partial)/(\partial x)(ln(3x+5y))	\frac{\partial\:}{\partial\:x}(\ln(3x+5y))
f(x)=e^{2x}	f(x)=e^{2x}
integral de (x^5+x+1)/(x^3-8)	\int\:\frac{x^{5}+x+1}{x^{3}-8}dx
derivative y=(x^2+3)((2x+5)^6)	derivative\:y=(x^{2}+3)((2x+5)^{6})
integral de 0 a 3 de \|x^2-4\|	\int\:_{0}^{3}\left\|x^{2}-4\right\|dx
integral de 29x^{28}	\int\:29x^{28}dx
límite cuando x tiende a 1/3 de 5x-7	\lim\:_{x\to\:\frac{1}{3}}(5x-7)
taylor (2-x)^{-1}	taylor\:(2-x)^{-1}
derivative 4xe^xcsc(x)	derivative\:4xe^{x}\csc(x)
integral de 0 a 27 de x^{-2/3}	\int\:_{0}^{27}x^{-\frac{2}{3}}dx
integral de sin^3(4x)cos^5(4x)	\int\:\sin^{3}(4x)\cos^{5}(4x)dx
integral de y^3ln(y)	\int\:y^{3}\ln(y)dy
integral de 2/(x^2)	\int\:\frac{2}{x^{2}}dx
integral de (x^2+1/x)^2	\int\:(x^{2}+\frac{1}{x})^{2}dx
integral de 1/(x(1+x^2)^2)	\int\:\frac{1}{x(1+x^{2})^{2}}dx
integral de (x^3)/(sqrt(x^2-25))	\int\:\frac{x^{3}}{\sqrt{x^{2}-25}}dx
límite cuando x tiende a 0 de (x^2-6)/x	\lim\:_{x\to\:0}(\frac{x^{2}-6}{x})
normal f(x)= x/(1+x^2),(2, 2/5)	normal\:f(x)=\frac{x}{1+x^{2}},(2,\frac{2}{5})
integral de (2x)/(x^2-2x+5)	\int\:\frac{2x}{x^{2}-2x+5}dx
límite cuando x tiende a 0 de ((x+64)^{1/3}-4)/x	\lim\:_{x\to\:0}(\frac{(x+64)^{\frac{1}{3}}-4}{x})
integral de 1/((2x-3)^4)	\int\:\frac{1}{(2x-3)^{4}}dx
límite cuando x tiende a 1+de (x+1)/(x^2-1)	\lim\:_{x\to\:1+}(\frac{x+1}{x^{2}-1})
integral de 2sin(x)+3cos(x)	\int\:2\sin(x)+3\cos(x)dx
y^{''}+y^'-6y=0,y(0)=1,y^'(0)=-13	y^{\prime\:\prime\:}+y^{\prime\:}-6y=0,y(0)=1,y^{\prime\:}(0)=-13
integral de 0 a 1 de x(x-x^2)	\int\:_{0}^{1}x(x-x^{2})dx
integral de (x-3)/((3x-2)^2)	\int\:\frac{x-3}{(3x-2)^{2}}dx
integral de \sqrt[7]{y^5}	\int\:\sqrt[7]{y^{5}}dy
integral de 0 a 0.4 de e^{-x^2}	\int\:_{0}^{0.4}e^{-x^{2}}dx
integral de e^{-2t}+2	\int\:e^{-2t}+2dt
integral de (x^2)/((x+3)^3)	\int\:\frac{x^{2}}{(x+3)^{3}}dx
integral de sqrt(\sqrt[6]{x^4)}	\int\:\sqrt{\sqrt[6]{x^{4}}}dx
(dv}{dt}+\frac{(v^'v))/t =v^'(t/2-1/2)	\frac{dv}{dt}+\frac{(v^{\prime\:}\cdot\:v)}{t}=v^{\prime\:}\cdot\:(\frac{t}{2}-\frac{1}{2})
derivada de 2xln(x)	\frac{d}{dx}(2x\ln(x))
integral de 1/(1+\sqrt[4]{x-1)}	\int\:\frac{1}{1+\sqrt[4]{x-1}}dx
tangent y=(5x)/(1+x^2),(5, 25/26)	tangent\:y=\frac{5x}{1+x^{2}},(5,\frac{25}{26})
integral de wcsc(4w^2-1)	\int\:w\csc(4w^{2}-1)dw
derivada de 1.5x-0.25x^2	\frac{d}{dx}(1.5x-0.25x^{2})
laplacetransform cos(x)	laplacetransform\:\cos(x)

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