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cot x. 2 (2x) dx. Hence u = x2 and. du. dx = 2x or du = 2xdx. Substitution of u in the given integral gives ∫ cosec u cot u du = -cosec u + c using formula = -cosec x2 + c. Example 3. Find ∫ sec2x tanx dx. The integrand contains u = tan x and its derivative sec2 x. Let u = tan x(1) Then. du. dx = sec2x ................
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