2.

\fUse a definite integral to find the area of the region between the curve y = 9x and the x-axis on the interval [0,b] The area of the region between the curve y = 9x and the x-axis on the interval [0,b] isQ2 . 12 60 25 ds = [2527126 (xox = ah a from the formed 2 = ( 126) -602 14162-Q2 83 . To find the area of the region between the curve yoga and x anis on the interval Job So, the integral to find the area A O 85. = 96-0 - 96 (2 x ( Fig ) dre 2 Let le = x718 by the formal [ substituting u = x 718] - 14+ 1 + C - 14+1 - 13 - 4-13 + C = - ( ~ + 18 ) + C where 13 13 ( = Integrating contant. (2x ( *$10 ) dox Let u=x710 -12 :. du = 2 x du Le-12+1 + C -12+1 using formula ( x of = x - + e 11 C= Integration constant. = - (X1 710 ) + C Putting the value of 1= x710 11