Mathematics · Calculus

Evaluate the double integral &iint; r√(a2 - r2) dr dθ over the upper half of the circle r = a cos θ.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1(-a3 / 3) * (π/2 - 1)
2(a3 / 3) * (π/2 + 1)
3(-2a3 / 3) * (2/3 - π/2)✓
4(-2a3 / 3) * (2/3 + π/2)

Correct answer

(-2a3 / 3) * (2/3 - π/2)

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Evaluate the double integral &iint; r√(a2 - r2) dr dθ over the upper half of the circle r = a cos θ.

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Evaluate the double integral &iint; r√(a2 - r2) dr dθ over the upper half of the circle r = a cos θ.

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