Question

The area of the region above the x-axis bounded by the curve y=tanx, {x lies bet. 0 and pi/2} and the tangent to the curve at x=pi/4 is..

Answer 1

we have to write the equation of the tangent line, first

Answer 2

ya i got y=2x+1-pi/2

Answer 3

correct!

Answer 4

thanks.. my doubt lies in the graph part..

Answer 5

i am not able to find the correct region..

Answer 6

i can do the integration part..if i knew that..

Answer 7

now, the x-intercept, is:
\[\Large x = \frac{\pi }{4} - \frac{1}{2}\]
so we can make this drawing:

Answer 8

I know it is not a good graph