Q. 4

Evaluate th

For this we have to apply integration by parts

Let u and v be two functions then

To choose the first function u we use “ILATE” rule

That is

I=inverse trigonometric function

L=logarithmic function

A=algebraic function

T=trigonometric functions

E=exponential function

So in this preference, the first function is choosen to make the integration simpler.

Now, In the given question x is an algebraic function and it is chosen as u (A comes first in “ILATE” rule)

So first let us integrate the equation and then let us substitute the limits in it

Therefore, now substitute the limits given:

Note that and

First we have to substitute the upper limit and then subtract the second limit value from it
)

Note that sin0= 0 and cos0=1

=0+1+0–0

=1

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
view all courses
RELATED QUESTIONS :

Evaluate:<span laMathematics - Board Papers

Evaluate:

Mathematics - Board Papers

Using integrationMathematics - Board Papers

Evaluate:<span laMathematics - Board Papers

Evaluate:<span laMathematics - Board Papers

Evaluate:<span laMathematics - Board Papers