JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \left( {\sin \,\,2x - \cos \,\,\,2x} \right)dx = \frac{1}{{\sqrt 2 }}\,\,\sin \,\,\left( {2x - a} \right) + b

, then

View answer and explanation

Correct option: B

a = - \frac{{5\pi }}{4},\,\;b \in R

Option B (

a = - \frac{{5\pi }}{4},\;b \in R

) is correct because it is derived by integrating the given trigonometric expression and comparing it with the target form.

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