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The value of the Integral Hint: p/2 (ax3 -p/2 cos x + b sin x + c)dx, depends on how many parameters among (a , b , c). Integral of an odd function over the interval [-a,a] is zero.

The value of the Integral
Hint:
p/2
(ax3
-p/2
cos x + b sin x + c)dx, depends on how many parameters among (a , b , c).
Integral of an odd function over the interval [-a,a] is zero.

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
The function :
f(x) = ax^3 - p/3cosx +bsinx +c dx from -p/2 to p/2
Cubic function and sine functions are odd functions.
Hence, the integral does not depend on parameters a & b.
Thanks & Regards
Bharat Bajaj
askIITians Faculty
IIT Delhi

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