Question: Evaluate the following integrals. For definite integrals, a simplified numerical answer must be given For indefinite integrals, your final answer must be in the variable \(x\).

1. \(\int\left(\frac{5}{\sqrt{x}}-2 \operatorname{sech} x \tanh x+5^{x}-2\right) d x\)
2. \(\int \frac{x}{\sqrt{1-9 x^{4}}} d x\)
3. \(\int \frac{\sec ^{2} 2 x}{\sqrt{1+5 \tan 2 x}} d x\)
4. \(\int_{1}^{2} \frac{1}{x(1+4 \ln x)} d x\)
5. \(\int_{0}^{\sqrt{\pi / 2}} x \cos x^{2} d x\)
6. \(\int \frac{3^{\tan 2 x}}{\cos ^{2} 2 x} d x\)

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