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

Please provide steps

100 POINTS Solve number 58 Evaluate the following integrals using the Fundamental Theorem of Calculus Please provide steps class=

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MathPhys

Answer:

1 + ¼π

Step-by-step 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