Home » Evaluate ∫(^{pi}_{2})(sec2 x – tan2x)dx

Evaluate ∫(^{pi}_{2})(sec2 x – tan2x)dx

Evaluate ∫(^{pi}_{2})(sec2 x – tan2x)dx
  • A.
    (frac{pi}{2})
  • B.
    (pi) – 2
  • C.
    (frac{pi}{3})
  • D.
    (pi) + 2
Correct Answer: Option B
Explanation

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