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Evaluate integral sin ^-1 (cosx)dx using
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- Show that sec x = (sin x / cos x) + (cos x / 1 + sin x), then use the identity to drive the basic integration rule S sec x dx = In I sec x + tan x I + CFind the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual linearizations of sqrt(x + 1) and sin x at x = 0?Determine the constants a and b such that sin x + cos x = a sin(x + b). Use this result to integrate ∫ dx /( sin x + cos x) .