Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20242 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

(f(x) g ^ (x)- f ^ (x) g (x) ) d x is equal to

Options

  1. Af (x) g (x)- f ^ (x) g ^ (x)
  2. Bf ^ (x) g (x)- f (x) g ^ (x)
  3. Cf (x) g ^ (x)- f ^ (x) g (x)
  4. Df (x) g ^ (x)+ f ^ (x) g (x)

Correct answer

C. f (x) g ^ (x)- f ^ (x) g (x)

Step-by-step solution

aligned & [ f (x) g ^ (x)- f ^ (x) g (x) ] d x & = f (x) g ^ (x)- f ^ (x) g ^ (x) d x- g (x) f ^ (x) & = f (x) g ^ (x)- g (x) f ^ (x)+ c + f ^ (x) g ^ (x) d x 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