Question: Evaluate the following indefinite integrals:

1. \(\int \sin ^{3} x \cos ^{2} x d x\)
2. \(\int \frac{\ln x}{x^{4}} d x\)
3. \(\int x e^{-x^{2}} d x\)
4. \(\int \frac{\tan ^{2} x-1}{\sec ^{2} x} d x\)
5. \(\int \sqrt{49-x^{2}} d x\)
6. \(\int \sin 3 x \cos 2 x d x\)

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