For - 2

Options

1. A4 x+ x^2 2 +C
2. B4 - x^2 2 +C
3. C4 + x^2 2 +C
4. D4 x- x^2 4 +C

Correct answer

D. 4 x- x^2 4 +C

Step-by-step solution

aligned & ⁻¹ ( 1- x 1+ x ) d x= ⁻¹ ( x 2 - x 2 )^2 ( x 2 + x 2 )^2 d x & = ⁻¹ ( x 2 - x 2 x 2 + x 2 ) d x= ⁻¹ ( 1- x 2 1+ x 2 ) d x & = ⁻¹ ( 4 - x 2 ) d x= ( 4 - x 2 ) d x & = 2 x- x^2 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 MHT CET PYQs