Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2007MathematicsIndefinite Integration

The value of x²+1 x²-1 d x is

Options

  1. A( x-1 x+1 )+c
  2. B( x+1 x-1 )+c
  3. Cx+ ( x-1 x+1 )+c
  4. D(x²-1 )+c

Correct answer

C. x+ ( x-1 x+1 )+c

Step-by-step solution

Let I= x²+1 x²-1 d x= x²+1-1+1 x²-1 d x aligned & I= x²-1 x²-1 d x+ 2 x²-1 d x & I= 1 d x+2 1 x²-1 d x & I=x+2 1 2 ( x-1 x+1 )+c & I=x+ ( x-1 x+1 )+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 KCET PYQs