engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Calculus Definite Integrals
Find the value of the following definite integral
\(\mathop \smallint \limits_0^{\frac{\pi }{4}}\left(\tan\left(x+[x]\right)\right)^3+\left(\tan\left(x-[x]\right)\right)^5~dx\)
where [x] is the greatest integer of x.
1
1
2
0
3
0.25
4
0.5