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Evaluate: intcosx\ sqrt(4-sin^2x)\ dx...

Evaluate: `intcosx\ sqrt(4-sin^2x)\ dx`

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`int sqrt(4x^(2) +9) dx " "Let 2x =t`
` = int sqrt((2x)^(2) +3^(2)) dx rArr 2=(dt)/(dx)`
` =int sqrt(t^(2)+3^(2).) (dt)/(2) rArr dx=(dt)/(2)`
`=1/2[t/2sqrt(t^(2)+3^(2))+(3^(2))/(2)log |t+sqrt(t^(2)+3^(2))|]+c`
`=1/4 [2x sqrt(4x^(2)+9)+9log|2x+sqrt(4x^(2)+9)|]+c`
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