Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- What You Should Know About Brazili... by Lisa Hadon 115 views
- Exhibition Slide Loop by Steve Bailey 219 views
- Implementing an iCentre approach: Y... by Syba Academy 216 views
- Theology in a new key responding to... by Lola Huff 54 views
- Desarrollo de aplicaciones .NET by Hernan Chavarriaga 148 views
- 35 marketing tips for small busines... by Keiretsu Forum 317 views

513 views

Published on

Published in:
Education

No Downloads

Total views

513

On SlideShare

0

From Embeds

0

Number of Embeds

2

Shares

0

Downloads

0

Comments

0

Likes

1

No embeds

No notes for slide

- 1. www.etontuition.com 6385 3133 Simple derivation from basic integration expressions to f’(x) f(x) types of expressions without memorizing them By Tan Jun Wei
- 2. www.etontuition.com 6385 3133 This is a method of deriving f’(x) f(x) types of integration expressions from the basic integration expressions learned at O levels or from MF15. There is no need for any memorizing. Rather, simple derivations will do the trick.
- 3. www.etontuition.com 6385 3133 Start with: xn dx = xn+1 + cn+1 for n ≠ -1
- 4. www.etontuition.com 6385 3133 Replace x with f(x): f(x)n dx = f(x)n+1 + cn+1 for n ≠ -1
- 5. www.etontuition.com 6385 3133 And multiply f’(x) in: f(x)n dx = f(x)n+1 + cn+1f'(x) for n ≠ -1
- 6. www.etontuition.com 6385 3133 We get our final equation: f(x)n dx = f(x)n+1 + cn+1f'(x) for n ≠ -1
- 7. www.etontuition.com 6385 3133 The same goes for all the following: dx = ln (x) + c x 1 dx = ex + cex dx = -cos x + csin x
- 8. www.etontuition.com 6385 3133 Replace x with f(x): dx = ln (f(x)) + c f(x) 1 dx = ef(x) + cef(x) dx = -cos f(x) + csin f(x)
- 9. www.etontuition.com 6385 3133 And multiply f’(x) in: dx = ln (f(x)) + c f(x) f'(x) dx = ef(x) + cf'(x) ef(x) dx = -cos f(x) + cf'(x) sin f(x)
- 10. www.etontuition.com 6385 3133 We get our final equations: dx = ln (f(x)) + c f(x) f'(x) dx = ef(x) + cf'(x) ef(x) dx = -cos f(x) + cf'(x) sin f(x)

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment