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stich3 [128]
3 years ago
14

100 POINTS. PLEASE PROVIDE STEPS.

Mathematics
2 answers:
In-s [12.5K]3 years ago
4 0

Answer:

π³/1296

Step-by-step 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

MatroZZZ [7]3 years ago
3 0

Answer:

I agree with the person above me!

Step-by-step explanation:

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