Question

100 POINTS!

Solve number 58.
Evaluate the following integrals using the Fundamental Theorem of Calculus.

Please provide steps

Answer 1

1 + ¼π

Explanation:

∫₀ᵖⁱ'⁴ sec x (sec x + cos x) dx

∫₀ᵖⁱ'⁴ (sec² x + 1) dx

(tan x + x + C)|₀ᵖⁱ'⁴

(tan(¼π) + ¼π + C) − (tan 0 + 0 + C)

1 + ¼π + C − C

1 + ¼π