∫ c o s x − s i n x d x is equal to

∫ c o s x − s i n x d x = 2 1 ∫ c o s ( x + 4 π ) 1 d x = 2 1 ∫ sec ( x + 4 π ) d x = 2 1 lo g tan ( 2 x + 8 3 π ) + C

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Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationSubstitutionMedium2 minPYQ_2004

MathematicsMediumsingle choice

$\int \frac{d x}{c o s x - s i n x}$ is equal to

Options:

Answer:

Solution:

$\int \frac{d x}{c o s x - s i n x} = \frac{1}{2} \int \frac{1}{c o s ( x + \frac{π}{4} )} d x = \frac{1}{2} \int sec (x + \frac{π}{4}) d x = \frac{1}{2} lo g tan (\frac{x}{2} + \frac{3 π}{8}) + C$

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Substitution

⏱ 2mℹ️ Source: PYQ_2004

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