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sin (ax +b) cos (ax+b)...

`sin (ax +b) cos (ax+b)`

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To solve the integral \( \int \sin(ax + b) \cos(ax + b) \, dx \), we can follow these steps: ### Step 1: Use a Trigonometric Identity We can use the trigonometric identity for the product of sine and cosine: \[ \sin(A) \cos(A) = \frac{1}{2} \sin(2A) \] In our case, let \( A = ax + b \). Therefore, we can rewrite the integral as: ...
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