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Problemas populares

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Problemas populares de Cálculo

integral de ((5x^2-12))/((x^2-6x+13)^2)	\int\:\frac{(5x^{2}-12)}{(x^{2}-6x+13)^{2}}dx
serie de n=1 a infinity de 1/(1+n)	\sum\:_{n=1}^{\infty\:}\frac{1}{1+n}
xy^'-4y=0	xy^{\prime\:}-4y=0
d/(dy)(sqrt(y^2+1))	\frac{d}{dy}(\sqrt{y^{2}+1})
límite cuando x tiende a 3 de 2/(3-2)	\lim\:_{x\to\:3}(\frac{2}{3-2})
derivada de f(x)=x^{(-11)/(12)}	\frac{d}{dx}f(x)=x^{\frac{-11}{12}}
integral de (tan(ln(2x+5)))/(2x+5)	\int\:\frac{\tan(\ln(2x+5))}{2x+5}dx
(\partial)/(\partial s)(-cos(s-t))	\frac{\partial\:}{\partial\:s}(-\cos(s-t))
derivada de 1/(2(1-x^{3/2)})	\frac{d}{dx}(\frac{1}{2(1-x)^{\frac{3}{2}}})
f(x)=sinh^2(x)	f(x)=\sinh^{2}(x)
f^'(x)=x^2-x-2	f^{\prime\:}(x)=x^{2}-x-2
área y=\|7x\|,y=x^2-8	area\:y=\left\|7x\right\|,y=x^{2}-8
derivative 6e^x	derivative\:6e^{x}
(dy)/(dx)=5y+a	\frac{dy}{dx}=5y+a
límite cuando x tiende a (3pi)/2-de sec(x)	\lim\:_{x\to\:\frac{3π}{2}-}(\sec(x))
integral de (x^2+4x)	\int\:(x^{2}+4x)dx
inversalaplace 4/((s+1)(s+2)^3)	inverselaplace\:\frac{4}{(s+1)(s+2)^{3}}
derivada de (5x+2/(3x-4))	\frac{d}{dx}(\frac{5x+2}{3x-4})
inversalaplace 1/((s-1)^2(s+5))	inverselaplace\:\frac{1}{(s-1)^{2}(s+5)}
tangent f(x)=sin(sin(x)),\at x=4pi	tangent\:f(x)=\sin(\sin(x)),\at\:x=4π
y^'=y(1-y)	y^{\prime\:}=y(1-y)
derivative y=e^{4x^2}+1	derivative\:y=e^{4x^{2}}+1
tangent f(x)=tan(x),\at x=1	tangent\:f(x)=\tan(x),\at\:x=1
área 19x,x^2	area\:19x,x^{2}
serie de n=0 a infinity de 1/3 (2/3)^n	\sum\:_{n=0}^{\infty\:}\frac{1}{3}(\frac{2}{3})^{n}
derivative y=log_{10}(x)	derivative\:y=\log_{10}(x)
límite cuando x tiende a 5-de (\|5-x\|)/(5-x)	\lim\:_{x\to\:5-}(\frac{\left\|5-x\right\|}{5-x})
taylor ((e^x-1))/x	taylor\:\frac{(e^{x}-1)}{x}
integral de (-3)/(x^2)	\int\:\frac{-3}{x^{2}}dx
y^'=ycos(x)	y^{\prime\:}=y\cos(x)
y^'+y/x =y^2	y^{\prime\:}+\frac{y}{x}=y^{2}
(\partial)/(\partial y)(50x+400-50y)	\frac{\partial\:}{\partial\:y}(50x+400-50y)
integral de (e^xcos(y))	\int\:(e^{x}\cos(y))dx
derivative 8e^{-x}+1	derivative\:8e^{-x}+1
derivada de ln((6-x/(6+x)))	\frac{d}{dx}(\ln(\frac{6-x}{6+x}))
(\partial)/(\partial x)(y-2x)	\frac{\partial\:}{\partial\:x}(y-2x)
integral de 12sin^2(x)	\int\:12\sin^{2}(x)dx
x^{''}+x^'+2x=4e^{2t}	x^{\prime\:\prime\:}+x^{\prime\:}+2x=4e^{2t}
derivada de x^{x^{1/2}}	\frac{d}{dx}(x^{x^{\frac{1}{2}}})
f(x)=9e^x	f(x)=9e^{x}
(dy)/(dx)=((x^3+y^3))/(xy^2)	\frac{dy}{dx}=\frac{(x^{3}+y^{3})}{xy^{2}}
serie de k=1 a infinity de 3(1/5)^{k-1}	\sum\:_{k=1}^{\infty\:}3(\frac{1}{5})^{k-1}
(\partial)/(\partial y)(-2)	\frac{\partial\:}{\partial\:y}(-2)
derivative 2/((1+x)^3)	derivative\:\frac{2}{(1+x)^{3}}
límite cuando x tiende a 0 de (x-1)/(x^2)	\lim\:_{x\to\:0}(\frac{x-1}{x^{2}})
tangent 3/x+5/(x^3),\at x=-1	tangent\:\frac{3}{x}+\frac{5}{x^{3}},\at\:x=-1
derivada de x/(sqrt(x-3))	\frac{d}{dx}(\frac{x}{\sqrt{x-3}})
(\partial)/(\partial x)(sqrt(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{2}+z^{2}})
integral de 2/((1-x)^2)	\int\:\frac{2}{(1-x)^{2}}dx
taylor ln(1+2x),0	taylor\:\ln(1+2x),0
taylor (cos^2(2θ))/(cos(θ))	taylor\:\frac{\cos^{2}(2θ)}{\cos(θ)}
derivative f(x)=e^{x^2+3}	derivative\:f(x)=e^{x^{2}+3}
integral de 14x^{15}e^{x^8}	\int\:14x^{15}e^{x^{8}}dx
integral de (x-2)sin(pix)	\int\:(x-2)\sin(πx)dx
y^{''}+6y^'+25y=0,y(0)=2,y^'(0)=-3	y^{\prime\:\prime\:}+6y^{\prime\:}+25y=0,y(0)=2,y^{\prime\:}(0)=-3
derivada de (4x+sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{4x+\sqrt{1+x}}{x^{2}-1})
derivative ln(sec(5x)+tan(5x))	derivative\:\ln(\sec(5x)+\tan(5x))
integral de 5(cos(x)+sin(2x))/(sin(x))	\int\:5\frac{\cos(x)+\sin(2x)}{\sin(x)}dx
serie de n=1 a infinity de 8(-1/4)^n	\sum\:_{n=1}^{\infty\:}8(-\frac{1}{4})^{n}
límite cuando x tiende a 0+de 2sqrt(x)ln(x)	\lim\:_{x\to\:0+}(2\sqrt{x}\ln(x))
x^2+4,-x^2-1,x=-2,x=3	x^{2}+4,-x^{2}-1,x=-2,x=3
f(x)=x^2ln(2x)	f(x)=x^{2}\ln(2x)
xy^'=y+5x^2sin(x)	xy^{\prime\:}=y+5x^{2}\sin(x)
derivative f(x)=(2x^3+6x)(4x^2-7x+11)	derivative\:f(x)=(2x^{3}+6x)(4x^{2}-7x+11)
derivada de (x^2/(sqrt(x^2-4)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{x^{2}-4}})
(\partial)/(\partial y)((x+y)/(xy-1))	\frac{\partial\:}{\partial\:y}(\frac{x+y}{xy-1})
integral de (x^2+3)/(sqrt(x))	\int\:\frac{x^{2}+3}{\sqrt{x}}dx
tangent 2x(5-4x)^4,\at x=1	tangent\:2x(5-4x)^{4},\at\:x=1
(-3xy^2+5y)+(-3x^2y+5x)y^'=0	(-3xy^{2}+5y)+(-3x^{2}y+5x)y^{\prime\:}=0
derivada de (x^2-4^{1/2})	\frac{d}{dx}((x^{2}-4)^{\frac{1}{2}})
integral de p^2	\int\:p^{2}dp
límite cuando x tiende a-2 de 1/(x+2)	\lim\:_{x\to\:-2}(\frac{1}{x+2})
simplificar e^4	simplify\:e^{4}
integral de 1/(4x^2+4x+5)	\int\:\frac{1}{4x^{2}+4x+5}dx
integral de 1/((x^3-4x))	\int\:\frac{1}{(x^{3}-4x)}dx
d/(dθ)(1+cos(2θ))	\frac{d}{dθ}(1+\cos(2θ))
límite cuando x tiende a-1-de x/((x+1)^2)	\lim\:_{x\to\:-1-}(\frac{x}{(x+1)^{2}})
(2cos(2x))^'	(2\cos(2x))^{\prime\:}
inversalaplace 3s+2	inverselaplace\:3s+2
límite cuando x tiende a infinity de e^x-3	\lim\:_{x\to\:\infty\:}(e^{x}-3)
derivada de ({z}(x)/x)	\frac{d}{dx}(\frac{{z}(x)}{x})
integral de 0 a 2 de (y-2)^2	\int\:_{0}^{2}(y-2)^{2}dy
derivada de (2x+1^2(x^2+x+1))	\frac{d}{dx}((2x+1)^{2}(x^{2}+x+1))
integral de 1/((x+6)^2)	\int\:\frac{1}{(x+6)^{2}}dx
derivada de (2x^2-5x+7^3)	\frac{d}{dx}((2x^{2}-5x+7)^{3})
integral de θsin(θ)	\int\:θ\sin(θ)dθ
derivada de (2x^2+2x+2/(sqrt(x)))	\frac{d}{dx}(\frac{2x^{2}+2x+2}{\sqrt{x}})
derivative ln(ln(3x))	derivative\:\ln(\ln(3x))
derivada de (x+2/(x^2+2x+4))	\frac{d}{dx}(\frac{x+2}{x^{2}+2x+4})
derivada de 2e^{3x}-e^{2x}	\frac{d}{dx}(2e^{3x}-e^{2x})
x^3y^{'''}-6y=0	x^{3}y^{\prime\:\prime\:\prime\:}-6y=0
integral de 7arctan(3y)	\int\:7\arctan(3y)dy
integral de (6sin(2x))/(sin(x))	\int\:\frac{6\sin(2x)}{\sin(x)}dx
serie de n=1 a infinity de 8/(pi^n)	\sum\:_{n=1}^{\infty\:}\frac{8}{π^{n}}
integral de sec^2(θ)+7	\int\:\sec^{2}(θ)+7dθ
área y= 5/6 x^2,y= 11/6-x^2	area\:y=\frac{5}{6}x^{2},y=\frac{11}{6}-x^{2}
derivada de e^{rx}r	\frac{d}{dx}(e^{rx}r)
tangent f(x)=x^2-5x+5,\at x=6	tangent\:f(x)=x^{2}-5x+5,\at\:x=6
taylor x^2cos(x),0.1	taylor\:x^{2}\cos(x),0.1
derivative f(x)=-25x^2+150x-182	derivative\:f(x)=-25x^{2}+150x-182

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