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1. a True or False? If ∫ [ f ( x ) ⋅ g ( x...

1. a True or False? If ∫ [ f ( x ) ⋅ g ( x ) ] d x = [ ∫ f ( x ) d x ] ⋅ [ ∫ g ( x ) d x ]. Justify your answer.

B. Find ∫ 0 π 4 sec 2 ⁡ θ tan 2 ⁡ θ + 1 d θ

C. Show that ∫ 0 π 2 sin 2 ⁡ x d x = ∫ 0 π 2 cos 2 ⁡ x d x.

D. Find the indefinite integral: ∫ ( sin 3 ⁡ x ) ( c o s x ) d x

E.  Using substitution: Describe why ∫ x ( 5 − x 2 ) 3 d x ≠ ∫ u 3 d u where u = 5 − x 2.

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