The graphic area enclosed by the straight line L passing through the origin and the parabola y = x2-2ax (a > 0) is 9 2A3, find the equation of line L

The graphic area enclosed by the straight line L passing through the origin and the parabola y = x2-2ax (a > 0) is 9 2A3, find the equation of line L

Let the equation of l be: y = KX, from y = kxy = x2 − 2aX, x = 0 or x = 2A + K (1) if 2A + K ≥ 0, s = ∫ 2A + K0 (KX − x2 + 2aX) DX = (K + 2a) 36 = 92a3, K = a. the linear l equation is: y = ax. (2) if 2A + k < 0, s = ∫ 02A + K (KX − x2 + 2aX) DX

Indefinite integral in Calculus ∫x√x2-3 dx How to find this indefinite integral? Please explain in detail. That 2 is square ha

∫x√(x^2-3) dx
Let t = x ^ 2-3 then DT = 2xdx
Original formula = (1 / 2) ∫ 1 / √ t DT
=1/2*(2/3)t^(3/2)+C
=(1/3)(x^2-3)^(3/2)+C

When n is a positive integer, the - n power of a is equal to____ (a ≠ 0), that is, the - n power of a (a ≠ 0) is the n power of A——————

When n is a positive integer, the - n power of a is equal to__ (a^n)^(-1)__ (a ≠ 0), that is, the - n power of a (a ≠ 0) is the reciprocal of the n power of a -
Potato troupe Shao Wenchao answers your questions
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If the m-th power of a is equal to the n-th power of a (a is greater than 0 and a is not equal to 1m, n is a positive integer), then M = n 1. If the x power of 2 times 8 times the x power of 16 = the 22nd power of 2, find x?

1、2*8^x*16^x=2^22 2^(1+3x+4x)=2^22 1+3X+4X=22 x=3
2、(27^x)^2=3^24 3^(6*x)=3^24 6*x=24 x=4

Given that n is a positive integer greater than 1, try to prove that the fourth power of N + 4 is a composite number Such as title Cough, our teacher sent out a test paper and said that if the question was beyond the scope, I didn't let him do it. I wanted to do it myself. When I asked the teacher, he said that he wouldn't tell me if it was beyond the scope ~ now I understand,

n^4+4
=n^4+4n ²+ 4-4n ²
=(n ²+ 2) ²- 4n ²
=(n ²+ 2+2n)(n ²+ 2-2n)
Because n is a positive integer greater than 1
So n ²+ 2+2n>1,n ²+ 2-2n>1
So n ^ 4 + 4 is a composite number

Guess, when n is a positive integer, what is a times B to the nth power? Try to explain the correctness of the conclusion

The nth power of (AB) = the nth power of a times the nth power of B
You must be right!