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Question: Answered & Verified by Expert
If fx=Maxsinx,cosx and gx=Minsinx,cosx, then 0πfxdx+0πgxdx=
MathematicsDefinite IntegrationAP EAMCETAP EAMCET 2022 (04 Jul Shift 2)
Options:
  • A 22+2
  • B 22-2
  • C 2
  • D 22
Solution:
1269 Upvotes Verified Answer
The correct answer is: 2

Given fx=Maxsinx,cosx and gx=Minsinx,cosx

0πfxdx+0πgxdx

=0π4sinxdx+π4πcosxdx+0π4cosxdx+π4πsinxdx

=-cosx0π4+sinxπ4π+sinx0π4+-cosxπ4π

=-12+1+0-12+12-0+1+12

=2

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