If ∫ c o s x f ( x ) d x is written as λ ∫ 1 − 4 s i n 2 x c o s x d x − μ ∫ ( 1 − s i n 2 x ) 1 − 4 s i n 2 x c o s x d x , then the values of λ & μ respectively are-

Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationMiscellaneous formMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $f (x) = 4 cos^{2} x - 3$ .

On the basis of the above information, answer the following questions:

If $\int \frac{f ( x )}{c o s x} d x$ is written as $λ \int \frac{c o s x}{1 - 4 s i n ^{2} x} d x - μ \int \frac{c o s x d x}{( 1 - s i n ^{2} x ) 1 - 4 s i n ^{2} x}$ , then the values of $λ & μ$ respectively are-

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Solution:

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Miscellaneous form

⏱ 2mℹ️ Source: QB

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