1. ∫\(\frac{x^4+1}{x^2+1}\) dx is equal to

2. ∫(√x + \(\frac{1}{√x}\)) dx =

3. ∫\(\frac{sin^2x-cos^2x}{sin^2xcos^2x}\) dx is equal to

4. \(\frac{d}{dx}\)∫f(x)dx is equal to

5. What is the value of \(\int_{0}^{\pi / 2}\) \(\frac{\sqrt{tan x}}{\sqrt{tan x}+\sqrt{cot x}}\) dx?

6. What is the value of \(\int_{0}^{\pi / 2}\) \(\frac{sinx – cos x}{1+sin xcos x}\) dx?

7. What is the value of \(\int_{\pi / 6}^{\pi / 3}\) \(\frac{dx}{sin2x}\)?

8. What is the value of \(\int_{-1}^{1}\) sin³ x cos² xdx?

9. What is the value of \(\int_{1}^{e} \frac{1+\log x}{x}\) dx?

10. \(\int_{-\pi / 2}^{\pi / 2}\) sin xdx =