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Problemas populares

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Problemas populares de Cálculo

área y=e^{2x},x=0,x=3	area\:y=e^{2x},x=0,x=3
integral de (e^{6sqrt(t)})/(sqrt(t))	\int\:\frac{e^{6\sqrt{t}}}{\sqrt{t}}dt
derivada de e^{((-k/x)})	\frac{d}{dx}(e^{(\frac{-k}{x})})
derivative 2(sin(x^2)+2x^2cos(x^2))	derivative\:2(\sin(x^{2})+2x^{2}\cos(x^{2}))
tangent f(x)= 1/(sqrt(3x)),\at x=9	tangent\:f(x)=\frac{1}{\sqrt{3x}},\at\:x=9
límite cuando x tiende a-7 de (7-\|x\|)/(7+x)	\lim\:_{x\to\:-7}(\frac{7-\left\|x\right\|}{7+x})
integral de 1 a 5 de (ln(y))/(xy)	\int\:_{1}^{5}\frac{\ln(y)}{xy}dy
(e^{-4x})^'	(e^{-4x})^{\prime\:}
integral de 30x^2	\int\:30x^{2}dx
límite cuando x tiende a 9 de x-9	\lim\:_{x\to\:9}(x-9)
límite cuando x tiende a+8 de x^{(2/3)}	\lim\:_{x\to\:+8}(x^{(\frac{2}{3})})
derivada de (8x^2-2x+1/(x^2-5x))	\frac{d}{dx}(\frac{8x^{2}-2x+1}{x^{2}-5x})
integral de csc(y)	\int\:\csc(y)dy
tangent y=(8x)/((x^2+1))	tangent\:y=\frac{8x}{(x^{2}+1)}
integral de e^{ln(x^5)}	\int\:e^{\ln(x^{5})}dx
desarrollar (2x-3)^4	expand\:(2x-3)^{4}
derivada de e^xln(x^5)	\frac{d}{dx}(e^{x}\ln(x^{5}))
x^'+x=e^t	x^{\prime\:}+x=e^{t}
integral de 0 a 15 de xsqrt(15-x)	\int\:_{0}^{15}x\sqrt{15-x}dx
integral de 10sqrt(x)	\int\:10\sqrt{x}dx
integral de-8/x	\int\:-\frac{8}{x}dx
integral de (2x^2+13x+18)/(x^3+6x^2+9x)	\int\:\frac{2x^{2}+13x+18}{x^{3}+6x^{2}+9x}dx
y^{''}-5y^'+6y=e^{2x}	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=e^{2x}
integral de 9x^2-4x	\int\:9x^{2}-4xdx
(\partial)/(\partial x)(1+ln(x))	\frac{\partial\:}{\partial\:x}(1+\ln(x))
s(t)=(t^2+40t)/5	s(t)=\frac{t^{2}+40t}{5}
(\partial)/(\partial x)(e^{(x^2-y^2)})	\frac{\partial\:}{\partial\:x}(e^{(x^{2}-y^{2})})
(36-x^2)(dy)/(dx)=1	(36-x^{2})\frac{dy}{dx}=1
integral de 0 a pi/3 de (tan(x))^2	\int\:_{0}^{\frac{π}{3}}(\tan(x))^{2}dx
integral de 9ln(x^2-1)	\int\:9\ln(x^{2}-1)dx
y^'+y/x =(y^2)/x	y^{\prime\:}+\frac{y}{x}=\frac{y^{2}}{x}
derivada de x^4-5x^2+4	\frac{d}{dx}(x^{4}-5x^{2}+4)
derivative y= 4/((4-x^4)^{3/2)}	derivative\:y=\frac{4}{(4-x^{4})^{\frac{3}{2}}}
integral de 0 a pi/2 de 9(cos(x))^2	\int\:_{0}^{\frac{π}{2}}9(\cos(x))^{2}dx
derivada de x^3+3x^2-24x	\frac{d}{dx}(x^{3}+3x^{2}-24x)
integral de 9.8t	\int\:9.8tdt
área sqrt(4x+4),4x-16,[-1,5.25]	area\:\sqrt{4x+4},4x-16,[-1,5.25]
límite cuando x tiende a-9 de (\|x+9\|)/(x+9)	\lim\:_{x\to\:-9}(\frac{\left\|x+9\right\|}{x+9})
derivada de 3csc(x-5sec(x))	\frac{d}{dx}(3\csc(x)-5\sec(x))
límite cuando x tiende a 0 de 2^{1/x}	\lim\:_{x\to\:0}(2^{\frac{1}{x}})
integral de-1/(x+8)+9/(x-4)	\int\:-\frac{1}{x+8}+\frac{9}{x-4}dx
f(x)=-1/(x^2)	f(x)=-\frac{1}{x^{2}}
derivada de x^{-5cos(x})	\frac{d}{dx}(x^{-5\cos(x)})
límite cuando x tiende a 1 de 4x^2+2x+5	\lim\:_{x\to\:1}(4x^{2}+2x+5)
derivada de-3ln(x)	\frac{d}{dx}(-3\ln(x))
integral de tsin(t/2)	\int\:t\sin(\frac{t}{2})dt
integral de (x+5)/(x^2+4)	\int\:\frac{x+5}{x^{2}+4}dx
integral de 0 a 1 de 1/(x^2-1)	\int\:_{0}^{1}\frac{1}{x^{2}-1}dx
integral de (e^{-x})/1	\int\:\frac{e^{-x}}{1}dx
pendiente (-8,-3),(-12,-3)	slope\:(-8,-3),(-12,-3)
(\partial)/(\partial x)(7x-y)	\frac{\partial\:}{\partial\:x}(7x-y)
2y(dy)/(dx)+2=y^2+2x	2y\frac{dy}{dx}+2=y^{2}+2x
(dy)/(dx)= x/y	\frac{dy}{dx}=\frac{x}{y}
y^{''}+8y^'+20y=40,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+8y^{\prime\:}+20y=40,y(0)=0,y^{\prime\:}(0)=0
integral de csc(t)	\int\:\csc(t)dt
(d^2y)/(dx^2)-6(dy)/(dx)+9y=xe^x	\frac{d^{2}y}{dx^{2}}-6\frac{dy}{dx}+9y=xe^{x}
tangent f(x)=2x^3-8x,(-2,0)	tangent\:f(x)=2x^{3}-8x,(-2,0)
integral de ((4x+3)*(2x^2+3x)^3)	\int\:((4x+3)\cdot\:(2x^{2}+3x)^{3})dx
f(x)=sqrt(x)*sin(x)	f(x)=\sqrt{x}\cdot\:\sin(x)
derivada de (8x^2+2x+8/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+2x+8}{\sqrt{x}})
límite cuando x tiende a+0 de xsin(3/x)	\lim\:_{x\to\:+0}(x\sin(\frac{3}{x}))
derivada de (3-1/x /(x+5))	\frac{d}{dx}(\frac{3-\frac{1}{x}}{x+5})
integral de sqrt(x^2-2x+1)	\int\:\sqrt{x^{2}-2x+1}dx
derivada de x*e^{x^2}	\frac{d}{dx}(x\cdot\:e^{x^{2}})
integral de (cot(x))/(sqrt(sin(x)))	\int\:\frac{\cot(x)}{\sqrt{\sin(x)}}dx
derivative csc(e^{2x})	derivative\:\csc(e^{2x})
1/(p-p^2)dp=dt	\frac{1}{p-p^{2}}dp=dt
área 5x-x^2,x,[0,4]	area\:5x-x^{2},x,[0,4]
(dy)/(dx)=(e^{2x})/(6y^5)	\frac{dy}{dx}=\frac{e^{2x}}{6y^{5}}
integral de 1 a 2 de 7r^2ln(r)	\int\:_{1}^{2}7r^{2}\ln(r)dr
integral de 0 a pi de pisin^2(x)	\int\:_{0}^{π}π\sin^{2}(x)dx
integral de ((3x-1))/(sqrt(2x+1))	\int\:\frac{(3x-1)}{\sqrt{2x+1}}dx
integral de x^2(x-9)^{12}	\int\:x^{2}(x-9)^{12}dx
simplificar d/(dd)(-d^2+2d+10)	simplify\:\frac{d}{dd}(-d^{2}+2d+10)
integral de (e^xsin(x))	\int\:(e^{x}\sin(x))dx
sqrt(1-5x^2)y^'=x	\sqrt{1-5x^{2}}y^{\prime\:}=x
integral de 0 a 15 de 24/25 piy^2	\int\:_{0}^{15}\frac{24}{25}πy^{2}dy
(\partial)/(\partial x)(2sin(4x))	\frac{\partial\:}{\partial\:x}(2\sin(4x))
(dy)/(dx)=(x)	\frac{dy}{dx}=(x)
límite cuando x tiende a 0 de+(x^{sin(x)})	\lim\:_{x\to\:0}(+(x^{\sin(x)}))
y^{''}+18y^'+82y=0	y^{\prime\:\prime\:}+18y^{\prime\:}+82y=0
integral de 0 a 2 de 2pi(y+1)(1)	\int\:_{0}^{2}2π(y+1)(1)dy
derivative f(x)=x^{6/7}	derivative\:f(x)=x^{\frac{6}{7}}
tangent f(x)= 3/(x^{1/2)},(1,3)	tangent\:f(x)=\frac{3}{x^{\frac{1}{2}}},(1,3)
serie de n=1 a infinity de (4/5)^n	\sum\:_{n=1}^{\infty\:}(\frac{4}{5})^{n}
integral de 7 a 8 de 7/(50+x^2-14x)	\int\:_{7}^{8}\frac{7}{50+x^{2}-14x}dx
integral de 2x^{5/2}	\int\:2x^{\frac{5}{2}}dx
límite cuando x tiende a 5 de sqrt(f(x))	\lim\:_{x\to\:5}(\sqrt{f(x)})
derivative y=x^{7x}	derivative\:y=x^{7x}
taylor e^{-2x},2	taylor\:e^{-2x},2
(dy)/(dx)= x/y ,y(0)=-3	\frac{dy}{dx}=\frac{x}{y},y(0)=-3
integral de 1/(2x^2-5)	\int\:\frac{1}{2x^{2}-5}dx
derivative (e^x)/(e^x+7)	derivative\:\frac{e^{x}}{e^{x}+7}
inversalaplace (se^{-3s})/((s-4)^3)	inverselaplace\:\frac{se^{-3s}}{(s-4)^{3}}
derivada de sin(13x)	\frac{d}{dx}(\sin(13x))
(\partial)/(\partial h)(1/3 pir^2h)	\frac{\partial\:}{\partial\:h}(\frac{1}{3}πr^{2}h)
derivada de-x^2+x	\frac{d}{dx}(-x^{2}+x)
derivative f(t)=t^2+4t	derivative\:f(t)=t^{2}+4t
integral de 1/((1+y)^2)	\int\:\frac{1}{(1+y)^{2}}dy
integral de-1 a 1 de 5^x	\int\:_{-1}^{1}5^{x}dx

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