y=cos x and y=1-2x/π

Asked by prasannavvss5 | 27th Sep, 2020, 01:00: PM

Expert Answer:

To find the area of the region between the curve y = cos x and the line y = 1 - 2x/pi
The graph is as follows:
 
 
Required space area space straight A equals integral subscript 0 superscript straight pi over 2 end superscript cosxdx space minus space Area space of space triangle AOB
equals open square brackets sinx close square brackets subscript 0 superscript straight pi over 2 end superscript minus 1 half cross times 1 cross times straight pi over 2
equals 1 minus straight pi over 4
Hence comma space the space required space area space is space fraction numerator 4 minus straight pi over denominator 4 end fraction.

Answered by Renu Varma | 28th Sep, 2020, 12:49: PM