Evaluate the definite integral using trig. sub &#x222B;<!-- ∫ --> x 3

Rachel Villa

Rachel Villa

Answered question

2022-05-29

Evaluate the definite integral using trig. sub x 3 9 x 2 d x

Answer & Explanation

Porter Cohen

Porter Cohen

Beginner2022-05-30Added 7 answers

Hint:
Set x = 3 sin t , π 2 < x < π 2 , d x = 3 cos t d t, to obtain
x 3 9 x 2 d x = 3 3 sin 3 t 9 ( 1 sin 2 t ) 3 cos t d t = 27 sin 3 t d t = 27 ( 1 cos 2 t ) d ( cos t ) .

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