Area bounded by the curve y=xex2 x - axis and the ordinates x = 0, x = a
A
ea2+12sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ea2−12sq.unit
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
ea2+1sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ea2−1sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Bea2−12sq.unit Required area is ∫a0ydx=∫a0xex2dx Weputx2=t⇒dx=dt2xasx=0⇒t=0and x=a⇒t=a2, then it reduces to 12∫a20etdt=12[et]a20=ea2−12sq.unit