Question

find the area of the region bounded by the curves y=sinx and y=cosx and the lines x=pi/4 and x= pi​

Answer 1

Step-by-step explanation:

Area bounded by the curves y=sinx and y=cosx is given by

A=∫

0

4

π

(cosx−sinx)dx

=[sinx+cosx]

0

4

π

=

2

1

+

2

1

−1

=

2

2

−1

=

2

−1 sq. units.

solution