`int(dx)/(sqrt(15-8x^(2)))`

1.	`int(dx)/(sqrt(15-8x^(2)))`
Answer» We have `int(dx)/(sqrt(15-8x^(2)))=(1)/(sqrt(8))*int(dx)/(sqrt((15)/(8)-x^(2)))` `=(1)/(2sqrt(2))sin^(-1){(x)/(sqrt((15)/(8)))}+C=(1)/(2sqrt(2))sin^(-1)(sqrt((8)/(15))x)+C`.

Discussion

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Evaluate: `int1/(a^2sin^2x+b^2cos^2x) dx`