Answer :

Let


Putting t=sin x


dt=cos x dx



Now putting,


A(2+t)+B(1+t)=1


Now put t+1=0


Therefore, t=-1


A(2-1)+B(0)=1


A=1


Now put t+2=0


Therefore, t=-2


A(0)+B(-2+1)=1


B=-1


Now From equation (1) we get,






So,



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 thMathematics - Exemplar

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

If <img widMathematics - Exemplar

Evaluate the follRD Sharma - Volume 1

Find :

Mathematics - Board Papers

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1