Evaluate the definite integral

Question

(low) (high)
-π/6 ∫ π/6 2sec(x)tan(x) dx

Answer 1

hint:
What is the derivative of secx ??

Answer 2

this is one of the standard trig integrals. Recall that

d/dx sec(x) = sec(x) tan(x)

The integral should now be clear.