Q. 465.0( 1 Vote )

Evaluate the foll

Answer :

Let


Note that we can write cos5x = cos4x × cos x


cos5x = (cos2x)2 × cos x


We also have sin2x + cos2x = 1


cos5x = (1 – sin2x)2cos x


So,


Put sin x = t


cos x dx = dt (Differentiating both sides)


When x = 0, t = sin 0 = 0



So, the new limits are 0 and 1.


Substituting this in the original integral,





Recall







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
caricature
view all courses
RELATED QUESTIONS :

Evaluate the follMathematics - Exemplar

Evaluate: <a nameMathematics - Board Papers

If <img widMathematics - Board Papers

<span lang="EN-USRD Sharma - Volume 2

Evaluate the follMathematics - Exemplar

<span lang="EN-USRD Sharma - Volume 2

<span lang="EN-USRD Sharma - Volume 2

<span lang="EN-USRD Sharma - Volume 2

Evaluate : <span Mathematics - Board Papers

<span lang="EN-USRD Sharma - Volume 2