Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20227 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

^8 x- ^8 x 1-2 ^2 x ^2 x (where C is constant of integration.)

Options

  1. A-2 (2 x)+C
  2. B1 2 (2 x)+C
  3. C2 (2 x)+C
  4. D- 1 2 (2 x)+C

Correct answer

D. - 1 2 (2 x)+C

Step-by-step solution

aligned & ^8 x- ^8 x 1-2 ^2 x ^2 x d x & = ( ^2 x+ ^2 x ) ( ^2 x- ^2 x ) (1-2 ^2 x ^2 x ) 1-2 ^2 x ^2 x d x & = ( ^2 x- ^2 x ) d x & = - 2 x d x=- 1 2 2 x+c aligned

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