5. Evaluate (a) [e-ar'de (b) ſ 2 sec(3x)da (c) de given y = e(x+5)(x2-3)
write clearly pls 4. Evaluate the following integrals [(x² + 3x – 2)e-2xdx a) 3 b) 1 (x - 2)3/2 2)82 de
Evaluate lim,-_-4+ g(x). 1 1 for -5< x < -4 X + 1 g(x) = 22 for X > -4 1 16 The limit does not exist. 1 3 -4
Problem 4 (a). 1 Evaluate dx, where i is some positive constant. -5teis +6e-ix Problem 4 (b). Given that f(x) is continuous everywhere and 7/4 f(2 sect) dt =1010, cost 0 evaluate ) (/*+2+ +5 )dt. --1 Problem 4(c). Let f(x) be continuous on (0,1). T T Show that Į 2 f(sin x)de = / f\sin x)dz. 0 0
Question 13 Evaluate XV1 dx. (A) 1/2 (B) 7/4 (C) -1/2 (sin-+ +8?_1-30 vi-x+c (D) (E) None of above. OB OC OD E ОА Question 1 dr (A) X +C Evaluate s - 16 (22+16) Ž V22 +16 -X (B) -1 + c 472 +16 (C) +C 1677 +16 (D) +C 16/22 +16 X A OD ОВ OC
use residue theorem to evaluate the following integrals 16) cosa 30 de 5- 4 cos 20 17) COSI det (x + 1)? sin 3x dx 18) sin x dx (x² + 4x+5 19)
Evaluate.$$ \int_{4}^{5} x\left(x^{2}-16\right)^{3} d x $$
P D Question 4 According to Piaget, are mental activities. BI U AA- IX EE 3 2 1 X XE BV CVT 12pt Paragraph
1, 0, y0} 3. Evaluate xydA, where R = {(x,y) + 36 16 R (а) 5 (b) 25 (c) 55 (d) 72 (e) 73 1, 0, y0} 3. Evaluate xydA, where R = {(x,y) + 36 16 R (а) 5 (b) 25 (c) 55 (d) 72 (e) 73
Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0) Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0)