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BITSAT Mathematics Definite Integration 2021 BITSAT 2021

BITSAT Mathematics Question (2021) — Solution

Question

_ -a ^ 4 (x^ 8 -x^ 4 +x^ 2 +1 ) d x=2 _ 0 ^ 4 (x^ 8 -x^ 4 +x^ 2 +1 ) d x then a=

Options

  1. A. 3
  2. B. 4
  3. C. 6
  4. D. 8

Answer

B. 4

Step-by-step solution

If f (x) is an even function then _ -a ^ a f(x) d x=2 _ 0 ^ a f(x) d x Here f (x)=x^ 8 -x^ 4 +x^ 2 +1 is an even function, therefore a=4.

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