Determine the following indefinite integrals. (a) 15e 15e/4 dt (b) 2/3 dx | 15/4, 15e1/4 dt =

Determine the following indefinite integrals.

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(a) 15e" 15e/4 dt (b) 2/3 dx | 15/4, 15e1/4 dt = S e(1/4) dt = 15 [(1/4)]e(1/4) + c = 60e1/4 + c 1 x/3 dx = 5/33/3 + c = 15/3 + 0 dx (c) 4x (d) Sa dt (e) x+7dx (f) | x + 8 1 dx dx = -(1/2) dx = + c = 2 x / + c = 2 x + c S dt = 91-4 dt = 9 x+7dx = (1/3) 1-3 + c = 313 + c = (x 7)1/2 (x+7) 1/2 dx = + dx = f(x+8) x+8 (3/2) 2 = . -(x+7) /2 + c (x+7)/ + c (x+8) dx In |x8|+c = (8) 4(x-18) dx 4x 4(x-18)2 dx=4( 4(4)6 (x-18)1+ +c= -4 x-18 +c