Plz solve Q 57 or let me know how to approach it
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Heya
1 + Sin x/2 = { Cos x/2 + Sin x/2 }²
=>
integration of √{Cos x/4 + Sin x/4 }² dx
limits from 0 to 2π
=>
integration of { Cos x/4 + Sin x/4 } dx
limits from 0 to 2π
=>
4 Sin x/4 - 4 Cos x/4
limits from 0 to 2π
=>
4 ×{ 1 - 0 } - { 0 - 1 }
=>
4 { 2 }
= 8
Hence option c is correct.
1 + Sin x/2 = { Cos x/2 + Sin x/2 }²
=>
integration of √{Cos x/4 + Sin x/4 }² dx
limits from 0 to 2π
=>
integration of { Cos x/4 + Sin x/4 } dx
limits from 0 to 2π
=>
4 Sin x/4 - 4 Cos x/4
limits from 0 to 2π
=>
4 ×{ 1 - 0 } - { 0 - 1 }
=>
4 { 2 }
= 8
Hence option c is correct.
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