Given: First solve for I1:Let 1 - x2 = t ⇒ -2 x dx = dtWhen x=0 then t= 1 and when x = 1 then t = 0Put in equ. (2)L.H.S = R.H.SHence Proved.

Q39 of 271 Page 352

Prove:

Given:

First solve for I1:

Let 1 - x² = t ⇒ -2 x dx = dt

When x=0 then t= 1 and when x = 1 then t = 0

Put in equ. (2)

L.H.S = R.H.S

Hence Proved.

Prove:

Evaluate as a limit of a sum.

Choose the correct answers

is equal to