Quiz4_B4_Solutions - 1 MATH 1700 Test#4 Solutions B4[8 1 Evaluate x 2 ln xdx Solution Use integration by parts with u = ln x dv = x 2 dx We compute du =

# Quiz4_B4_Solutions - 1 MATH 1700 Test#4 Solutions B4[8 1...

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1 B4. MATH 1700: Test #4 Solutions [8] 1. Evaluate x 2 ln x dx Solution . Use integration by parts, with u = ln x , dv = x 2 dx . We compute: du = dx x and v = x 3 3 . So, x 2 ln x dx = x 3 3 ln x x 3 3 1 x dx = x 3 3 ln x x 3 9 + c . [8] 2. Evaluate 2sin x cos 2 x dx Solution . Use u = cos x , so that du = sin x dx : 2sin x cos 2 x dx = 2 u 2 du = 2 u 3 3 + c = 2 cos 3 x 3 + c . [9] 3. Evaluate x 3 x 2 1 dx Solution . Use