wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

11 x3dx = ___

Open in App
Solution

We can definitely solve this problem by integrating the x3 But we’ll use one more approach, a very useful approach to solve such problems. We’ll use this property of definite integral -
(i)aaf(x)dx=2a0f(x)dx,if f is even,i.e.,if f(x)=f(x)
(ii)aaf(x)dx=0, if f is odd,i.e.,if f(x)=f(x).
We can see that the limits given in the question are similar to the formula.
Let a be = 1
Also let f(x) be =x3
We know f(x)=x3 is an odd function . {since , f(-x) = - f(x)}
So,11x3dx=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area under the Curve
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon