JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Understanding +4 | -1

The relation

\int(\sin 2 x+\cos 2 x) d x=\frac{1}{\sqrt{2}} \sin (2 x-a)+c

is true for

a

and

c

equal to -

View answer and explanation

Correct option: C

a=\pi / 4, c

is arbitrary constant

Option C (

a=\pi / 4, c

is arbitrary constant) is correct because the integral of the given expression results in a sine function with a phase shift of

\pi/4

and an arbitrary constant of integration.

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