In terms of integration, how would you obtain the "exact-value" of <msubsup> &#x222B;<!--

Peia6tvsr

Peia6tvsr

Answered question

2022-05-15

In terms of integration, how would you obtain the "exact-value" of
0 π 4 ( sec x x ) ( sec x + x ) d x .
Note: 1 + tan 2 x = sec 2 x

Answer & Explanation

reflam2kfnr

reflam2kfnr

Beginner2022-05-16Added 16 answers

Hint
sec 2 ( x ) d x = tan ( x ) + C .
Dennis Montoya

Dennis Montoya

Beginner2022-05-17Added 2 answers

Notice,
0 π / 4 ( sec x x ) ( sec x + x )   d x
= 0 π / 4 ( sec 2 x x 2 )   d x
= ( tan x x 3 3 ) 0 π / 4
= tan π 4 π 3 4 3 3 0
= 1 π 3 192

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