2 Find the indefinite integral for the function dx 4x249 using the substitution u = 4x2 + 9. dx 1/4(4x^2+9)^1/2+C 4x2+9x dx 4 x 2 +9 ;4 = 4x 2 +9 Solution. U= 4x2 +9, u substitution here you reando du= 8x dx the U substitution. - du = xx 8 Substitute du (4x2 + 9 ) 12 -7 redo U substitutition -7 - + C 4 V 4x 2 +0 using power rule = + c 4 + c this part the 2 will go ( 2 4 12 ) +C to the numerator as the division occurs. 7 cancel 2 and 4 will be $ U + C In the denominator. 4 you will right the as u-/2 then proceed to integration. using W/2 power rule 1. -7 hi - 12 + 1 u and in this case U n1 1