If x denotes the greatest integer function of x and ∫ - 3 2 3 2 2 x - 3 d x = k , then k + 1 2 =

Question

If x denotes the greatest integer function of x and ∫ - 3 2 3 2 2 x - 3 d x = k , then k + 1 2 =, 7, 8, 10, 12

MARKS App · Accepted Answer

∫ - 3 2 3 2 2 x - 3 d x = ∫ - 3 2 - 1 - 6 d x + ∫ - 1 - 1 2 - 5 d x + ∫ - 1 2 0 - 4 d x + ∫ 0 1 2 - 3 d x + ∫ 1 2 1 - 2 d x + ∫ 1 3 2 - 4 d x = - 6 x - 3 2 - 1 + - 5 x - 1 - 1 2 + - 4 x - 1 2 0 + - 3 x 0 1 2 + - 2 x 1 2 1 + - x 1 3 2 = - 6 + 5 + 4 + 3 + 2 + 1 × 1 2 i.e. k = - 21 2 Now, k + 1 2 = - 21 2 + 1 2 = 10

Search any question & find its solution

Looking for more such questions to practice?