Summary

Samenvatting - Wiskunde 3

0 purchase

Course
Wiskunde

Institution
Hogeschool Arnhem En Nijmegen (HAN)

Dit is een korte samenvatting van wiskunde 3. Hierin zijn overzichtelijk de regels, met de formules die erbij horen weergegeven. Naast deze samenvatting is het aanbevolen om wel naar de lessen te gaan voor extra uitleg.

[Show more]

Preview 1 out of 2 pages

View example

Uploaded on January 15, 2024
Number of pages 2
Written in 2021/2022
Type Summary

primitive
integraal
omwentelingslichaam
substitutiemethode
somregel
kettingregel

Institution
Hogeschool Arnhem en Nijmegen (HAN)
Education
Bouwkunde
Course
Wiskunde

$3.77

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

Samenvatting wiskunde 3 – Course 3
Primitive F’(x) = f(x) → ∫ f(x) dx
1 1 1
∫ x 𝑛 𝑑𝑥 = 𝑥 𝑛+1 → ∫ x 4 𝑑𝑥 = 𝑥 4+1 + 𝐶 → 𝑥5 + 𝐶
𝑛+1 4+1 5

Somregel ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫ f(x) dx

Constante regel ∫ f(x) × C dx = C × ∫ f(x) dx

1
Kettingregel ∫ f(ax + b) dx = 𝑎 F (ax + b) + C

Voorbeeld: ∫ sin (3x + 5) dx
1
= 3 x – cos (3x + 5)
1
= - 3 cos (3x + 5)
𝑏
Integraal ∫𝑎 𝑓(𝑥 )𝑑𝑥 = F(b) – F(a)
3 1
Voorbeeld: ∫0 𝑥 2 𝑑𝑥 → [3 𝑥 3 ]
1 1
= 3 x 33 - 3 x 03

=9–0
=9

Omwentelingslichaam
V = Volume
B = Body
𝑏
.𝑉(𝐵) = 𝜋 × ∫𝑎 (𝑓(𝑥))2 𝑑𝑥

𝑏
.𝑉(𝐵) = 𝜋 × ∫𝑎 (𝑓(𝑥))2 − (𝑔(𝑥))2 𝑑𝑥

𝑏
.𝑉(𝐵) = 𝜋 × ∫𝑎 𝑥 2 𝑑𝑦

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller ith200438. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $3.77. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

69052 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling