Evaluate the definite integral sec2 (x)/tan (x) dx Solution let tan x = u.......

Question

Evaluate the definite integral

Explanation / Answer

let tan x = u.......... differentiating both side => sec ^ 2 x . dx = du => dx = du/sec ^2 x.................................integration (pi / 4 to pi / 3 ) ( sec ^2 x / tan x) dx ............... =integration (1 to sqrt (3) ) (sec ^2 x / u )* (du/sec^2 x ) ........................................................................................... =integration (1 to sqrt (3) ) du/u ........................................................................................... =[log u] (1 to sqrt (3) ) ........................................................................................... = log sqrt( 3) - log 1 ........................................................................................... = log sqrt (3) ans ...........................................................................................

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.