Question

x+3√3(x+1√3). plz help​

Answer 1

Question:

x+3√3(x+1√3).

Answer:

Answer

Solution :-

I=∫ a 3 −x 3x dx

=∫ (a 3/2) 2 −(x 3/2 ) 2 x

Let x 3/2 =t

⇒ 23 x 23

−1 dx=dt⇒ 23 x 1/2

dx=dt

⇒x 1/2 dx= 32

dt

∴I= 32

∫ (a 3/2 ) 2 −t 2

dt= 32

sin −1 a 3/2 t +c= 32

sin −1a 3/2x 3/2 +c