YESPYQ Start Practice
🛠️ JEE➗ Maths

The value of \({\int }_{0}^{\frac{\pi }{4}}\left(\sin \left|\left(4x-\frac{\pi }{2}\right)\right|+\sin [2x]\right)dx\) i…

Q1

The value of \({\int }_{0}^{\frac{\pi }{4}}\left(\sin \left|\left(4x-\frac{\pi }{2}\right)\right|+\sin [2x]\right)dx\) is (where [•] denotes the greatest integer function)

a

\(\frac{1}{2}+\left(\frac{\pi -2}{4}\right)\sin 1\)

b

\(\frac{1}{4}+\left(\frac{\pi -2}{2}\right)\sin 1\)

c

\(\frac{1}{2}-\left(\frac{\pi -2}{4}\right)\sin 1\)

d

\(\frac{1}{4}-\left(\frac{\pi -2}{2}\right)\sin 1\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Definite Integration, or browse the full JEE question bank.

See all questions on Definite Integration →