Question

Can you please help me evaluate these integrals:

Share on Inc dc. 25

Thank you!

Answer 1

1. Sb Inse dt Integration by apart x 5. Elna) dx SES (ences) x 5 Ince) X 4x4 en(x) 4 dx Xs 4x4 In(x) + ove] ca constant С + 1 4 84 4 x 4 i 4 С, 11 4x4 1684 atta [m - 2] + c) and

3x² + x + 2 dx 2x3 + x2 + 4x + 1 x 2 + 9 let 2x3 + x2 + 4x + 1 let x2 + 9 = 42 charged limit for x ² + 9 = +2 at de diff. both side 2x dx = Loirt whin x=0 =) 0+9 = 12 idx = tat t = 3 (6x + 23 + 2x + 4).dx. di when x=1 1+9 = th t- ſio 2 (3x²+x+2) dx = dt pust in above integral S ++ STO (3x²+x+2) dx = d+/ го tdt فرا Pust in integral [+]," d dt t 2 3 An 11 ( constant I. ln(d). 2 +6 ? I dn (2x + x² + 4x+1)+ С 2 لا (+ و - 2 ۔ دو «ل In($2x3 + x2 + 4x+1) + c An