NDA_Math_2025_Q70

Question:

What is fx() 2 2 ∫ dx equal to?

What is fx() 2 2 ∫ dx equal to?

Options:

  • a) 63 22–
  • b) 63 2–
  • c) 63 22
  • d) 63 22
  • a) 63 22–
  • b) 63 2–
  • c) 63 22
  • d) 63 22

correct answer : a)

Explanation:


2
2 ()f x dx

=

x dx
2 2
2 []∫
= +∫∫
32
2323dx dx
= +32
232 [] 3 []xx

= – +-23 22 6 33
= 62 23–


2
2 ()f x dx

=

x dx
2 2
2 []∫
= +∫∫
32
2323dx dx
= +32
232 [] 3 []xx

= – +-23 22 6 33
= 62 23–

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