Q. 95.0( 1 Vote )

# Find <span lang="

Using the identities 1 = sin2x + cos2x,

sin 2x = 2 sin x cos x

cos 2x = cos2x – sin2x

Using (a + b)2 = a2 + 2ab + b2

We know that ∫ex[f(x) + f’(x)] dx = ex f(x) + c

Here f(x) = sec x hence f’(x) = sec x tan x

Hence ∫ex [sec x + sec x tan x] dx = ex sec x + c

I = (1/2)ex sec x + c

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