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Choose the correct answerint0^(2/3) (dx)...

Choose the correct answer`int_0^(2/3) (dx)/(4+9x^2)`(A) `pi/6` (B) `pi/(12)` (C) `pi/(24)` (D) `pi/4`

Text Solution

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Given `int dx/9+4x^2` Multiplying and dividing by 4 we get `int (dx/4)/[(9+4x^2)/4]`
=`1/4*int dx/[1+(3/2x)^2]`
let `3/2*x=t`
Differentiating with respect to x we get,
`dx=2/3*dt`
Hence, ...
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