If I = ∫ − π /2 π /2 cos x − cos 3 x d x = 3 k then k =

I = ∫ − π /2 π /2 cos x ∣ sin x ∣ d x = 2 ∫ − π /2 π /2 cos x ∣ sin ∣ x d x = 2 ∫ 0 π /2 cos x sin x d x = [ − 3 4 ( cos x ) 3/2 ] 0 π /2 = 3 4

Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationProperties of definite integrationEasy2 minQB

MathematicsEasyinteger

$If I = \int_{- π /2}^{π /2} cos x - cos^{3} x d x = \frac{k}{3} then k =$

Answer:

Solution:

$I = \int_{- π /2}^{π /2} cos x ∣ sin x ∣ d x = 2 \int_{- π /2}^{π /2} cos x ∣ sin ∣ x d x = 2 \int_{0}^{π /2} cos x sin x d x = [- \frac{4}{3} (cos x)^{3/2}]_{0}^{π /2} = \frac{4}{3}$

Stream:JEESubject:MathematicsTopic:Definite IntegrationSubtopic:Properties of definite integration

⏱ 2mℹ️ Source: QB

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