No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1x.e(sin−1x)+c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x.e(sinx−1x)+c
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
e(sinx−1x)+x+c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Cx.e(sinx−1x)+c ∫e(sinx−1x)(1+xcosx+1x)dx =∫e(sinx−1x)dx+∫x.e(sinx−1x)(cosx+1x2)dx =∫1⋅e(sinx−1x)dx+∫x.e(sinx−1x)(cosx+1x2)dx =x.e(sinx−1x)−∫x.e(sinx−1x)(cosx+1x2)dx+∫x.e(sinx−1x)(cosx+1x2)dx+c =x.e(sinx−1x)+c