Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2016MathematicsIndefinite Integration

∫ 1 8 + 2 x - x 2 d x =

Options

  1. A1 3 sin - 1 ⁡ x - 1 3 + c
  2. Bsin - 1 ⁡ x + 1 3 + c
  3. C1 3 sin - 1 ⁡ x + 1 3 + c
  4. Dsin - 1 ⁡ x - 1 3 + c

Correct answer

D. sin - 1 ⁡ x - 1 3 + c

Step-by-step solution

Let I = ∫ d x 8 + 2 x - x 2 ⇒ I = ∫ d x 9 + 2 x - x 2 - 1 ⇒ I = ∫ d x 3 2 - x - 1 2 ∴ I = sin - 1 ⁡ x - 1 3 + c

Practice Indefinite Integration on Quantrex Academy →

More from Indefinite Integration

If 5 x x -2 dx = ax + b | x -2 x |+ c , then a + b = 2025x Cos ⁻¹ ( 1-x^2 1+x^2 ) d x(x>0)= 2025d x (1+ x ) x-x^2 = 2025If x x x+1 ~d x= f (x)+ k , then f ( 4 )= 2025If x^4+1 x^2+1 d x=A x^3+B x^2+C x+D Tan ⁻¹ x+E , then A+B+C+D= 2025If x^2-x+2 x^2+x+2 d x=x- (f(x))+ 2 7 Tan ⁻¹(g(x))+c , then f (-1)+ 7 ~g (-1)= 2025(x- 3 ) (x+ 6 ) d x= 2025If a x+3 x 5 x+2 x d x= 26 29 x- k 29 |5 x+2 x|+c , then |a+k|= 2025 Full Indefinite Integration list All MHT CET PYQs