(e) fera sin x dm+ x dm Ja.2100 -sinx cosx de. (MCT) (d) (e) limnn (1+x2) d (Hint: sint st for all t20). (DCT) 00
(e) fera sin x dm+ x dm Ja.2100 -sinx cosx de. (MCT) (d) (e) limnn (1+x2) d (Hint: sint st for all t20). (DCT) 00
prove it
7. Sinx dx=- Cosx +C 8. Cosr dx=Sinx + c Sx dx = x 1+1 10.Sa*dx = a In a
7. Differentiate the following b) Sin x b) x c) x sinx
tan2 IX (a) lim x+0 sinx
tan2 IX (a) lim x+0 sinx
QUESTION 17 Find the integral. - sin x cos xdx - sinox +C 6 - sinx 5 + sin 5x 5 +C sinx -C
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
Question 5 f(x) = esin x Find f'(x). -CO5xesinx 0 -sinx + sinx 0 sinxeỐsinx cosxesinx
verify the identity tan(x+(5\pi )/(4))=(sinx+cosx)/(cosx-sinx)
Simplify: sin(2pi+x)-sinx
4. Solve for x, 0 SX < 360° a) 2 sinx + 3 = 0 b) 7cosx + 2 = 0 c) 2sinx - sinx = 0 d) 2cos2x - cosx - 1 = 0