Q.1 Find the indefinite integral (Ch 8.1) (a) ft3ve+ + 1dt (b) J Jazz dx (c) ] at (@) f - cose- 1 (e) dx (f) )-174x2-85+3 x 4x2+4x465 dx (h) J (tanx) [In (cosx) lax Q.2 Evaluate the definite integral. (Ch 8.1) (a) 18 2x Jo Vx2+ 36 dx (b) fo 7*2+2x(x + 1)dx (c) [sina+1" x+1 (d) )3 21 3 +3 -41+4 dt Q.3 Find the indefinite integral using Integration by Parts Method (Ch 8.2) (a) f(Inx)'dx (b) f teset cott at (c) fe-3*sin5x dx Q.4 Evaluate the definite integral (Ch8.2 exs#43-52) (a) foxle Zxdx (b) S In (4+ x2)dx Q.5 Find the integral. (Ch8.3) (a) [ cos xsintx dx (b) J sin320 cos20de (c) ] tan () dx (d) f sinesin30 do (e) J dx (f) [ 13 sec3/2xtanx dx (h) Jo sin xdx Q.6 Find the integral (Ch 8.4) (@) J xav16-xi dx (b) fx3vx2 - 25 dx (9) ); 4V4+x2 = dx (d) v49 - 16x2dx (e) fe*v1 -ezxax (1) J Vx3 + 6x+ 12 ;dx (8) Azadx (h) fy V3/2 +3 (1-taja/a atQ.7 Use partial fraction to evaluate the integral (Ch. 8.5) sect r +6x+4 (@) f dx (b) J dx (c) J dx tanax+ Stanx+6 x4+ 8x3+ 16 Q.8 Evaluate the improper integral. (Ch. 8.8) 1 1 . DO 1 dx (b) Jo exte -x dx (c) , Va dx (a) JA x(inx) dx (d) Jo Vx-1 5 1 -5 1 (e) J3 dx (f) J dx Vr3-9 25-x3