The value of ∫ − π π 1 + a x c o s 2 x d x , a > 0 , is

∫ − π π 1 + a x cos 2 x d x = ∫ 0 π cos 2 x d x = 2 π .

Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationProperties of definite integrationMedium2 minPYQ_2005

MathematicsMediumsingle choice

The value of $\int_{- π}^{π} \frac{c o s ^{2} x}{1 + a ^{x}} d x, a > 0$ , is

Answer:

Solution:

$\int_{- π}^{π} \frac{cos ^{2} x}{1 + a ^{x}} d x = \int_{0}^{π} cos^{2} x d x = \frac{π}{2} .$

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

⏱ 2mℹ️ Source: PYQ_2005

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