Evaluate ∫$$cos3$$⁡xsin⁡xdx

Correct option is 3=23sin3/2⁡x−27sin7/2⁡x+c

Questions

$Evaluate \int \cos^{3} x \sqrt{\sin x} d x$

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=23sin3/2⁡x−27sin5/2⁡x+c

=27sin3/2⁡x−23sin7/2⁡x+c

=23sin3/2⁡x−27sin7/2⁡x+c

=23sin7/2⁡x−27sin5/2⁡x+c

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detailed solution

Correct option is C

∫cos2xsin⁡x cosxdx∫1-sin2xsin⁡x cosx dx∫sin12x-sin52x cosx dxsin32x32-sin72x72+c=z3/23/2−z7/27/2+c=23z3/2−27z7/2+c=23sin3/2⁡x−27sin7/2⁡x+c

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Evaluate ∫cos3⁡xsin⁡xdx

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$Evaluate \int \cos^{3} x \sqrt{\sin x} d x$