No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
tan−1e
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
tan−1(1/e)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Btan−1e Integarting by parts by taking tan−1x as first function and 1x as second function ∫e1(tan−1xx+logx1+x2)dx =[tan−1xlogx]e1−∫e1logx1+x2dx+∫e1logx1+x2dx=tan−1e