FRQ Part A - calculator 1a.[Fill in the blank], 1b.[Fill in the blank], 1c.[Fill in the blank], 1d.[Fill in the blank], 2a.[Fill in the blank], 2b.[Fill in the blank], 2c. You need to have two integrals here for each area-write "blank" [Fill in the blank], Multiple fill-in-the-blank
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Find the value of \( \int_{0}^{4}({-x+3\sqrt{x}}){dx}\)
Which of the following is equal to ∫ − 𝜋 𝜋 𝑓 ( 𝑥 ) 𝑑 𝑥 correct to 3 decimal places, where 𝑓 ( 𝑥 ) = { − 4 𝑥 if − 𝜋 ≤ 𝑥 ≤ 0 3 − 3 cos 𝑥 if 0 < 𝑥 ≤ 𝜋 .
Which of the following is equal to ∫ − 𝜋 𝜋 𝑓 ( 𝑥 ) 𝑑 𝑥 correct to 3 decimal places, where 𝑓 ( 𝑥 ) = { − 7 𝑥 if − 𝜋 ≤ 𝑥 ≤ 0 sin 𝑥 if 0 < 𝑥 ≤ 𝜋 .
You are given that \[ \int _{-6}^{-5} f(x) \, dx = -5, \quad \int _{-6}^{0} f(x) \, dx = 7, \quad \text {and} \quad \int _{0}^{-5} g(x) \, dx = -1. \] What is \[ \int _{-5}^{0} \left [ f(x) + 5 g(x) \right ] \, dx \, ? \]
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