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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Definite Integration

NDA 2021 · Mathematics · Definite Integration

If ∫_ -2 ^0 f(x) d x=k , then ∫_ -2 ^0|f(x)| d x is

If ∫−20f(x)dx=k\int_{-2}^0 f(x) d x=k, then ∫−20∣f(x)∣dx\int_{-2}^0|f(x)| d x is

Options

  1. Aless than kk
  2. Bgreater than kk
  3. Cless than or equal to kk
  4. Dgreater than or equal to kk

Correct answer

D. greater than or equal to kk

Step-by-step solution

It is obvious that, It ∫−20f(x)dx=k\int_{-2}^0 f(x) d x=k Hence, ∫−20∣f(x)∣dx=l(\int_{-2}^0|f(x)| d x=l( say )⇒l≥k) \Rightarrow l \geq k
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