Question

If ∫(2x + 5)/√(7 - 6x - x²)dx = A√(7 - 6x - x²) + Bsin^-1((x + 3)/4) + C (where C is a constant of integration), then the ordered pair (A, B) is equal to

(A) (2, 1) 

(B) (−2, −1) 

(C) (−2, 1) 

(D) (2, −1)

Answer 1

Answer is (B) (−2, −1)

Given:

Now, comparing x coefficient and constant coefficient, we get

Therefore, A = −2, B = −1. That is, the ordered pair (A, B) is equal to (−2, −1).