Login

Welcome, Guest. Please login or register.

April 19, 2024, 03:43:38 am

Author Topic: Area by integration  (Read 1498 times)  Share 

0 Members and 1 Guest are viewing this topic.

2020hsc

  • Adventurer
  • *
  • Posts: 19
  • Respect: 0
Area by integration
« on: March 18, 2020, 03:02:56 pm »
0
Heyyy,

Just need some help on finding the area of the below by integration??

DrDusk

  • NSW MVP - 2019
  • Forum Leader
  • ****
  • Posts: 504
  • Respect: +130
Re: Area by integration
« Reply #1 on: March 18, 2020, 03:52:46 pm »
-1
Heyyy,

Just need some help on finding the area of the below by integration??
I just see an integral which is a standard integral found on the formula sheet. I don't see any reference to an 'area' question.

2020hsc

  • Adventurer
  • *
  • Posts: 19
  • Respect: 0
Re: Area by integration
« Reply #2 on: March 18, 2020, 04:20:27 pm »
0
I just see an integral which is a standard integral found on the formula sheet. I don't see any reference to an 'area' question.

Could you help me how you would go about solving it anyhow?

SS1314

  • Trendsetter
  • **
  • Posts: 120
  • Respect: +18
Re: Area by integration
« Reply #3 on: March 18, 2020, 05:04:27 pm »
+1
Could you help me how you would go about solving it anyhow?

To solve this integral and find the SIGNED area, you have to use a technique called the 'reverse' chain rule (see attached image)

So first you would basically take the 7 out of the integral, then use the formula (make sure not to just memorise it but also be able to connect it with the actual chain rule formula) and then do the normal definite integral substitution.

Hope this helps :)

2021: English, Environmental Science, Chemistry, Physics [50]

Offering 2022 head start classes (PM for details)


2020hsc

  • Adventurer
  • *
  • Posts: 19
  • Respect: 0
Re: Area by integration
« Reply #4 on: March 18, 2020, 09:15:37 pm »
0
To solve this integral and find the SIGNED area, you have to use a technique called the 'reverse' chain rule (see attached image)

So first you would basically take the 7 out of the integral, then use the formula (make sure not to just memorise it but also be able to connect it with the actual chain rule formula) and then do the normal definite integral substitution.

Hope this helps :)

Ok yep got it. Makes it easy using that formula ;)
Thanks so much!

SS1314

  • Trendsetter
  • **
  • Posts: 120
  • Respect: +18
Re: Area by integration
« Reply #5 on: March 19, 2020, 07:48:49 am »
+1
Ok yep got it. Makes it easy using that formula ;)
Thanks so much!

No problem  ;D
2021: English, Environmental Science, Chemistry, Physics [50]

Offering 2022 head start classes (PM for details)