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Integrate :- (1)/(sqrt(15+4x-4x^(2)))...

Integrate :- `(1)/(sqrt(15+4x-4x^(2)))`

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To solve the integral \(\int \frac{1}{\sqrt{15 + 4x - 4x^2}} \, dx\), we will follow these steps: ### Step 1: Rewrite the expression under the square root First, we rewrite the expression inside the square root: \[ 15 + 4x - 4x^2 = -4(x^2 - x - \frac{15}{4}) \] Now, we can factor out \(-4\): ...
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