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Problemas populares de Cálculo

d/(da)(a^5+a^2b^3-a^3b^2-b^5)	\frac{d}{da}(a^{5}+a^{2}b^{3}-a^{3}b^{2}-b^{5})
integral de 2/5 x^{5/2}	\int\:\frac{2}{5}x^{\frac{5}{2}}dx
(dx)/(dt)=4x-x^3	\frac{dx}{dt}=4x-x^{3}
integral de 0 a infinity de x^2e^{-2x}	\int\:_{0}^{\infty\:}x^{2}e^{-2x}dx
integral de (9x^2)/(sqrt(4x-x^2))	\int\:\frac{9x^{2}}{\sqrt{4x-x^{2}}}dx
tangent f(x)=sqrt(3x+91),(3,10)	tangent\:f(x)=\sqrt{3x+91},(3,10)
integral de cos^5(x)sin^6(x)	\int\:\cos^{5}(x)\sin^{6}(x)dx
y=101.57e^{0.328x}	y=101.57e^{0.328x}
integral de (x^2-6x+1)/(x^2+1)	\int\:\frac{x^{2}-6x+1}{x^{2}+1}dx
derivada de (4-x^2^{1/2})	\frac{d}{dx}((4-x^{2})^{\frac{1}{2}})
integral de 0 a infinity de 6e^{-x}	\int\:_{0}^{\infty\:}6e^{-x}dx
serie de n=0 a infinity de (x-9)^n	\sum\:_{n=0}^{\infty\:}(x-9)^{n}
derivada de 2+ln(x)	\frac{d}{dx}(2+\ln(x))
y^'+4xy=x	y^{\prime\:}+4xy=x
derivada de ln(1+x^4)	\frac{d}{dx}(\ln(1+x^{4}))
integral de 4 a infinity de e^{-y/2}	\int\:_{4}^{\infty\:}e^{-\frac{y}{2}}dy
integral de 1/(3-x^2)	\int\:\frac{1}{3-x^{2}}dx
integral de (sin(5x)sin(x))	\int\:(\sin(5x)\sin(x))dx
derivative 1	derivative\:1
integral de x/(2(x+1)sqrt(2x+1))	\int\:\frac{x}{2(x+1)\sqrt{2x+1}}dx
derivada de (x^3/3-3/(x^5)+4pi)	\frac{d}{dx}(\frac{x^{3}}{3}-\frac{3}{x^{5}}+4π)
(dy}{dx}=\frac{(4sqrt(y)log_{e}(x)))/x	\frac{dy}{dx}=\frac{(4\sqrt{y}\log_{e}(x))}{x}
tangent 1/((1+x^2),(1, 1/2))	tangent\:\frac{1}{(1+x^{2}),(1,\frac{1}{2})}
tangent-3cos(x),\at x= pi/2	tangent\:-3\cos(x),\at\:x=\frac{π}{2}
y^{''}-14y^'+49y=e^{8x}(x^2-9x-2)	y^{\prime\:\prime\:}-14y^{\prime\:}+49y=e^{8x}(x^{2}-9x-2)
y^'=1+e^{y-x+5}	y^{\prime\:}=1+e^{y-x+5}
integral de (x^2-4)^2(2x)	\int\:(x^{2}-4)^{2}(2x)dx
integral de 13sin^3(xco)s^2x	\int\:13\sin^{3}(xco)s^{2}xdx
integral de (arctan(sqrt(x)))/(sqrt(x))	\int\:\frac{\arctan(\sqrt{x})}{\sqrt{x}}dx
f(x)=tan^4(x^3)	f(x)=\tan^{4}(x^{3})
límite cuando x tiende a 0 de 5/(x^2)	\lim\:_{x\to\:0}(\frac{5}{x^{2}})
derivative ln(3x^3+6x^2+2x+6)	derivative\:\ln(3x^{3}+6x^{2}+2x+6)
xy^2y^'=x+9	xy^{2}y^{\prime\:}=x+9
integral de x^nsqrt(ax^{n+1)+b}	\int\:x^{n}\sqrt{ax^{n+1}+b}dx
derivative rx+d	derivative\:rx+d
(\partial)/(\partial x)(4y^3sin(5x))	\frac{\partial\:}{\partial\:x}(4y^{3}\sin(5x))
inversalaplace (s^2-s+1)/((s+1)^2)	inverselaplace\:\frac{s^{2}-s+1}{(s+1)^{2}}
área x^2-5,4	area\:x^{2}-5,4
xy^'-y=2x^2	xy^{\prime\:}-y=2x^{2}
integral de 0 a 1 de 2pi(x+10)x^2	\int\:_{0}^{1}2π(x+10)x^{2}dx
derivative f(x)=12x^2-48x	derivative\:f(x)=12x^{2}-48x
derivative ln\|x\|	derivative\:\ln\left\|x\right\|
derivada de x^3-6x^2	\frac{d}{dx}(x^{3}-6x^{2})
(dx)/(dt)=x^2+1/36	\frac{dx}{dt}=x^{2}+\frac{1}{36}
derivada de sqrt(x^2-x+1)	\frac{d}{dx}(\sqrt{x^{2}-x+1})
y=x(2x+3)	y=x(2x+3)
derivada de sqrt(x)(x+1)	\frac{d}{dx}(\sqrt{x}(x+1))
derivada de ln(2xy+4)	\frac{d}{dx}(\ln(2xy+4))
integral de e^{1/2 x}	\int\:e^{\frac{1}{2}x}dx
integral de sec(t)(8sec(t)+7tan(t))	\int\:\sec(t)(8\sec(t)+7\tan(t))dt
derivative f(x)=2x^2+x-1,\at a=-1	derivative\:f(x)=2x^{2}+x-1,\at\:a=-1
y^'=5y^2+xy^2,y(0)=1	y^{\prime\:}=5y^{2}+xy^{2},y(0)=1
derivada de (-8x-2/(9x-4))	\frac{d}{dx}(\frac{-8x-2}{9x-4})
integral de (cos(2x))^4	\int\:(\cos(2x))^{4}dx
implicit (dy)/(dx),y^3=x^5	implicit\:\frac{dy}{dx},y^{3}=x^{5}
inversalaplace e^{ax}	inverselaplace\:e^{ax}
derivada de f(x)=(e^x)/(x^2-1)	\frac{d}{dx}f(x)=\frac{e^{x}}{x^{2}-1}
f^'(x)=x-1	f^{\prime\:}(x)=x-1
(\partial)/(\partial x)(sqrt(2xy+1))	\frac{\partial\:}{\partial\:x}(\sqrt{2xy+1})
y^{''}-5y^'=2t	y^{\prime\:\prime\:}-5y^{\prime\:}=2t
derivative f(x)=2x^2+x-1	derivative\:f(x)=2x^{2}+x-1
serie de n=4 a infinity de n!(x-4)^n	\sum\:_{n=4}^{\infty\:}n!(x-4)^{n}
derivative 3xe^{2x}	derivative\:3xe^{2x}
t^2(dy)/(dt)+ty=3	t^{2}\frac{dy}{dt}+ty=3
d/(dt)(sqrt(5t)+(sqrt(7))/t)	\frac{d}{dt}(\sqrt{5t}+\frac{\sqrt{7}}{t})
mcm ln(x),1,-1	lcm\:\ln(x),1,-1
pendiente y=x^2+5x,x=4	slope\:y=x^{2}+5x,x=4
(\partial)/(\partial x)(7+x^2+y^2)	\frac{\partial\:}{\partial\:x}(7+x^{2}+y^{2})
tangent f(x)=x+9/x ,(9,10)	tangent\:f(x)=x+\frac{9}{x},(9,10)
integral de cos^3(t)-sin^2(t)cos(t)	\int\:\cos^{3}(t)-\sin^{2}(t)\cos(t)dt
derivative y=x^2-5x-6	derivative\:y=x^{2}-5x-6
derivative f(x)=((x+9))/(x^2-7x+1)	derivative\:f(x)=\frac{(x+9)}{x^{2}-7x+1}
derivative g(x)= 7/(sqrt(x))	derivative\:g(x)=\frac{7}{\sqrt{x}}
inversalaplace s/((s+1)^2)	inverselaplace\:\frac{s}{(s+1)^{2}}
integral de (4x^5)/(sqrt(1-12x^6))	\int\:\frac{4x^{5}}{\sqrt{1-12x^{6}}}dx
derivative 12x^3-18x^2	derivative\:12x^{3}-18x^{2}
integral de 16ln(\sqrt[3]{x})	\int\:16\ln(\sqrt[3]{x})dx
(dy)/(dx)+2y=k	\frac{dy}{dx}+2y=k
tangent f(x)=e^{x^2},\at x= 1/2	tangent\:f(x)=e^{x^{2}},\at\:x=\frac{1}{2}
integral de 1/p	\int\:\frac{1}{p}dp
integral de (4x^2-x+25)/(x^3+25x)	\int\:\frac{4x^{2}-x+25}{x^{3}+25x}dx
derivative 1+1/x	derivative\:1+\frac{1}{x}
derivada de 9/(x^2-3/x)	\frac{d}{dx}(\frac{9}{x^{2}}-\frac{3}{x})
7yln(x)-x(dy)/(dx)=0	7y\ln(x)-x\frac{dy}{dx}=0
derivada de (2x-1/(2x+1))	\frac{d}{dx}(\frac{2x-1}{2x+1})
derivative f(x)=(x^4)/3-6x	derivative\:f(x)=\frac{x^{4}}{3}-6x
límite cuando x tiende a 0 de x^2+11	\lim\:_{x\to\:0}(x^{2}+11)
tangent f(x)=9x^2+94,\at x=6	tangent\:f(x)=9x^{2}+94,\at\:x=6
(\partial)/(\partial y)(e^{x+y+3})	\frac{\partial\:}{\partial\:y}(e^{x+y+3})
(\partial)/(\partial x)(3/x-1-y)	\frac{\partial\:}{\partial\:x}(\frac{3}{x}-1-y)
área 4x+8,x^2+19x+62,[-9,-6]	area\:4x+8,x^{2}+19x+62,[-9,-6]
límite cuando x tiende a 3 de x/(x^2-9)	\lim\:_{x\to\:3}(\frac{x}{x^{2}-9})
(\partial)/(\partial x)(5xy-10y)	\frac{\partial\:}{\partial\:x}(5xy-10y)
derivada de (8x-2x^2cos(y))	\frac{d}{dx}((8x-2x^{2})\cos(y))
derivative y=(x^3+8)e^x	derivative\:y=(x^{3}+8)e^{x}
integral de (x^3+4)^4(3x^2)	\int\:(x^{3}+4)^{4}(3x^{2})dx
derivada de sqrt(x\sqrt{x)}	\frac{d}{dx}(\sqrt{x\sqrt{x}})
integral de 3	\int\:3dx
límite cuando x tiende a 0-de e^{8/x}	\lim\:_{x\to\:0-}(e^{\frac{8}{x}})
derivative x+sqrt(1-x^2)	derivative\:x+\sqrt{1-x^{2}}

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