Evaluate the following integral using the Fundamental Theorem of Calculus. int_(pi/2)^(-pi/2)(cos x-4)dx

arenceabigns

arenceabigns

Answered question

2021-09-29

Evaluate the following integral using the Fundamental Theorem of Calculus.
π2π2(cosx4)dx

Answer & Explanation

krolaniaN

krolaniaN

Skilled2021-09-30Added 86 answers

Step 1
Consider the following integrals,
π2π2(cosx4)dx
Step 2
To calculate the integrals,
π2π2(cosx4)dx=π2π2cosxdxπ2π24dx
=[sinx]π2π24[x]π2π2  cosxdx=sinx
=[sinπ2sin(π2)]4[π2(π2)]
=[1(1)]4[π2+π2]
=(24π)
=-10.56
Hence, π2π2(cosx4)dx=10.56
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

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