University:
University of Central Florida
Course:
MAC 2312 | Calculus with Analytic Geometry II
Academic year:

2023
Views:

88

Pages:

7
Author:

Maria

HW ASSIGNMENT Q1: f5n (2x) dx x² u = In (2x³) du = 10x dx = 5dx 2x5 X dv=dx v=f5x2dx=-5x = (In (2x5)) (-5x) - (-5x) () dx = -5x In (2x5)-f(-25x2dx=-5xln (2x²)-25x+C =-5 ln (2x) + 25 + C Q2: f-xe dx 2x dv=edx du=-1dx v = fedx= 2x 2 =(-x) (2)-(-)(-1)dx=-xe-f(-x)dx = - xe²x + x + c = (1-2x)² + C ezx C d (tan (x)) dx Q3: Stan (5x)dx = tan(5x) du= 252211 d 5 25x² + 1 =(tan (5x)) x-x(255241) dx -xtan (Sx) - Sz Sx 25x2+1 dx dx dv = dx v = fldx = x 4= 25x²+1 du = 50x dx -xtan (5x)-5x. duxtan (5x) - du 50x 104 + C = xtan (5x) - in (25x²+1) In =xtan (5x) - (u) + C