Help with INTEGRATION questions plz!! (1 Viewer)

[excellence1]

1) The curve y= 2^x is rotated about the x-axis between x=1 and x=2. Use simpsons rule with 3 function values to find the approx of the volume of the solid formed.

2)

a) Differentiate (x^4-1)^9 (i got the answer for this 36x^3(x^4-1)^8
b) Hence evaluate ∫ x^3(x^4 -1)^8 dx

 

[davidgoes4wce]

The curve y 2 x is rotated about the x-axis between x=1 and x=2. Use simpsons rule with 3 function values to find the approx of the volume of the solid formed:

a) Differentiate (x^4-1)^9 (i got the answer for this 36x^3(x^4-1)^8
b) Hence evaluate ∫ x^3(x^4 -1)^8 dx

I can't read that initial question......

 

[KingOfActing]

I'm not sure what your first question is. Are you asking for ?

As for the second question:

 

[KingOfActing]

I can't read that initial question......

You can't use substitution to solve this question, as it says "Hence". You must answer it using the part before it.

 

[davidgoes4wce]

^^^ I didnt see that mentioned in the question

 

[Drsoccerball]

^^^ I didnt see that mentioned in the question

I think for these types of questions you have to stop using substitution (if it didnt say hence) and just inspect what the answer would be.

 

[photastic]

 

[excellence1]

Thank you so much. Sorry, I wrote the 1st question wrong :/, can someone show me how to solve it?

 

[Nailgun]

 

[davidgoes4wce]

Tried to finish off what Nailgun was saying,

 

[excellence1]

Thank you soo much for your help