Integral

%5Csin%20%5C%2C%5C%2Cx%2B%5C%2C%5Csin%20%5C%2C5x%3D%5C%2C%5Csin%20%5C%2C3x

%5CRightarrow

2%5C%2C%5C%2C%5Csin%20%5C%2C3x%5C%2Ccos%5C%2C2x%5C%2C%3D%5Csin%20%5C%2C3x

%5CRightarrow

%5Csin%203x(2%5Ccos%202x-1)%3D0

%5CRightarrow

%5Csin%20%5C%2C%5C%2C3x%3D0

2%5C%2C%5Ccos%20%5C%2C2x-1%3D0

%5Csin%20%5C%2C%5C%2C3x%3D0

%5CRightarrow

3x%3D0%2C

%5Cpi

%5CRightarrow

x%3D0

x%3D%5Cfrac%7B%5Cpi%20%7D%7B3%7D

And if

2%5C%2C%5C%2C%5Ccos%20%5C%2C2x-1%3D0

%5CRightarrow

%5Ccos%20%5C%2C%5C%2C2x%3D%5Cfrac%7B1%7D%7B2%7D%5C%2C%3D%5C%2C%5Ccos%20%5C%2C%5Cfrac%7B%5Cpi%20%7D%7B3%7D

%5CRightarrow

2x%3D%5Cfrac%7B%5Cpi%20%7D%7B3%7D%5CRightarrow%20x%3D%5Cfrac%7B%5Cpi%20%7D%7B6%7D

%5Ctherefore

Solutions in

%5Cleft(%200%2C%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%5Cright)

are

%5Cfrac%7B%5Cpi%20%7D%7B3%7D%2C%5Cfrac%7B%5Cpi%20%7D%7B6%7D.

Chapter Questions
1 MCQs