Q. 64.1( 21 Votes )

Evaluate:<i

Answer :

Let

Let f(x) = (1 - x²) sin x cos²x

f(-x) = (1 - (-x)²) sin(-x) cos²(-x)

= -(1 - x²) sin x cos²x

= - f(x)

Hence f(x) is an odd function.

Using if f(x) is an odd function, we get I = 0.

Consider

Let

|x|=-x, if x<0

And |x|=x, if x≥0

Hence,

= [-0 - (-1)] + [2 - 0]

= [0 + 1] + [2-0]

= 1 + 2

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation