If the value of integral ∫ d x x + x 2 - 1 2 = a x 3 - x + b x 2 - 1 1 b + C , (where, C is the constant of integration), then a × b is equal to

Question

If the value of integral ∫ d x x + x 2 - 1 2 = a x 3 - x + b x 2 - 1 1 b + C , (where, C is the constant of integration), then a × b is equal to, 1, 4 9, 2, 9 4

MARKS App · Accepted Answer

∫ x - x 2 - 1 2 d x = ∫ x 2 + x 2 - 1 - 2 x x 2 - 1 d x = 2 x 3 3 - x + 2 3 x 2 - 1 3 2 + C ⇒ a = b = 2 3

Search any question & find its solution

Looking for more such questions to practice?