Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202124 Aug 2021Morning ShiftMathematicsIndefinite IntegrationActual

2 x (x+ 4 ) d x is equal to

Options

  1. Ax+ | (x- 4 ) |+c
  2. Bx- | (x- 4 ) |+c
  3. Cx+ | (x+ 4 ) |+c
  4. Dx- | (x+ 4 ) |+c

Correct answer

D. x- | (x+ 4 ) |+c

Step-by-step solution

2 x (x+ 4 ) d x Let x+ 4 =t x=t- 4 aligned & d x=d t & 2 (t- 4 ) t d t & = 2 ( t 4 - t 4 ) t d t aligned aligned & = 2 ( t 2 - t 2 ) t d t & = t- t t d t= (1- t) d t & =t- | t|+c & =x+ 4 - | (x+ 4 ) |+c & =x- | (x+ 4 ) |+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 AP EAMCET PYQs