Evaluate the definite integral.?

Question

Integral from 0 to pi of

sec^2(t/4)

Answer 1

ouch. integrals.

i believe the anti derivative is 4tan(t/4) because the anti deriv. of sec^2 is tan, and u need the 4 to balance out the deriv of (t/4) because of chain rule. (just think backwards)

to evaluate that between 0 and pi:

plug pi into the anti deriv. you get a number. Plug 0 in and u get another number. subtract the second number from the first number.

hope this helps! ...and hope this is right too