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5 votes
100 POINTS.

PLEASE PROVIDE STEPS.

100 POINTS. PLEASE PROVIDE STEPS.-example-1
User Lambacck
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8.1k points

2 Answers

6 votes

Answer:

I agree with the person above me!

Explanation:

User Nuvio
by
8.3k points
5 votes

Answer:

π³/1296

Explanation:

∫ [ (asin x)² dx / √(4 − 4x²) ]

Factoring the denominator:

∫ [ (asin x)² dx / √(4 (1 − x²)) ]

∫ [ (asin x)² dx / (2√(1 − x²)) ]

½ ∫ [ (asin x)² dx / √(1 − x²) ]

If u = asin x, then du = dx / √(1 − x²).

½ ∫ u² du

⅙ u³ + C

Substitute back:

⅙ (asin x)³ + C

Evaluate between x=0 and x=½.

⅙ (asin ½)³ − ⅙ (asin 0)³

⅙ (π/6)³ − ⅙ (0)³

π³/1296

User Cyval
by
7.6k points

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