KCSE PAST PAPERS

Find ∫ sec2x tanx dx. The integrand contains u = tan x and its derivative sec2 x. Let u = tan x(1) Then. du. dx = sec2x ∫ tan x sec x dx ∫ uduor du = sec2 x dx(2) Substitution of (1) and (2) in the given integral. 2 u. 2. 2 c = tan2 x + c. Example 4. Find ∫ e. sinx. cosx dx. 27 ................
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