ex-int-indef - Exercise Indenite Integrals 1 ShowZthat(a(3...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1. Show that (a) Z (3 x 2 ) 3 dx = 27 x 9 x 3 + 9 5 x 5 1 7 x 7 + C (b) 1 1 x 2 ± q x p xdx = 4( x 2 + 7) 7 4 p x + C (c) a x + a 2 x 2 + a 3 x 3 ± dx = a ln j x a 2 x a 3 2 x 2 + C (d) Z x + 1 p x dx = 2 3 x p x + 2 p x + C (e) Z (1 x )(1 2 x )(1 3 x ) dx = x 3 x 2 + 11 3 x 3 3 2 x 4 + C (f) Z x 2 1 + x 2 dx = x tan 1 x + C (g) Z (1 + sin x + cos x ) dx = x cos x + sin x + C (h) Z 5 p 1 2 x + x 2 1 x dx = 5 2 5 p (1 x ) 2 + C (i) Z (2 x + 3 x ) 2 dx = 4 x ln 4 + 2 6 x ln 6 + 9 x ln 9 + C (j) Z (2 x 3) 10 dx = 1 22 (2 x 3) 11 + C (k) Z dx 1 + cos x = tan x= 2 + C (l) Z xdx p 1 x 2 = p 1 x 2 + C (m) Z xdx (1 + x 2 ) 2 = 1 2(1 + x 2 ) + C (n) Z dx p x (1 + x ) = 2 tan 1 p x + C (o) Z dx p x (1 x ) = 2 sin 1 p x + C (p) Z xe x 2 dx = 1 2 e x 2 + C (q) Z dx p 1 + e 2 x = ln ² e x + p 1 + e 2 x ³ + C (r) Z dx e x + e x = tan 1 e x + C (s) Z ln 2 x x dx = 1 3 ln 3 x + C (t) Z dx
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/19/2011 for the course MATHEMATIC 33 taught by Professor Qian during the Spring '99 term at Hong Kong Shue Yan.

Page1 / 2

ex-int-indef - Exercise Indenite Integrals 1 ShowZthat(a(3...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online