MHT CET2017MathematicsIndefinite Integration
If ∫ x - 5 x - 7 d x = A x 2 - 12 x + 35 + log x - 6 + x 2 - 12 x + 35 + C then A =
Options
- A- 1
- B1 2
- C- 1 2
- D1
Correct answer
D. 1
Step-by-step solution
∫ x - 5 x - 7 d x = ∫ x - 5 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 10 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 12 + 2 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 12 x 2 - 12 x + 35 d x + ∫ d x x 2 - 12 x + 36 - 1 = 1 2 2 x 2 - 12 x + 35 + ∫ d x x - 6 2 - 1 + c 1 = x 2 - 12 x + 35 + log x - 6 + x 2 - 12 x + 35 + c ⇒ A = 1