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# Evaluate ∫$$^{\pi}_{2}$$(sec2 x - tan2x)dx

### Question

Evaluate ∫$$^{\pi}_{2}$$(sec2 x - tan2x)dx

### Options

A) $$\frac{\pi}{2}$$

B) $$\pi$$ - 2

C) $$\frac{\pi}{3}$$

D) $$\pi$$ + 2

### Explanation:

∫$$^{\pi}_{2}$$(sec2 x - tan2x)dx
∫$$^{\pi}_{2}$$ dx = [X]$$^{\pi}_{2}$$
= $$\pi$$ - 2 + c
when c is an arbitrary constant of integration

## Dicussion (1)

• ∫$$^{\pi}_{2}$$(sec2 x - tan2x)dx
∫$$^{\pi}_{2}$$ dx = [X]$$^{\pi}_{2}$$
= $$\pi$$ - 2 + c
when c is an arbitrary constant of integration