• Best of luck to the class of 2025 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here

Intergration Query (1 Viewer)

Lukybear

Active Member
Joined
May 6, 2008
Messages
1,466
Gender
Male
HSC
2010
This integration is killing me:

S 2x(4+x^2)dx = (4+x^2)2

but

S 2x(4+x^2) dx = S 8x + 2x^3 = 4x^2 + x^4/2

Any help explaining?
 

shaon0

...
Joined
Mar 26, 2008
Messages
2,023
Location
Guess
Gender
Male
HSC
2009
This integration is killing me:

S 2x(4+x^2)dx = (4+x^2)2

but

S 2x(4+x^2) dx = S 8x + 2x^3 = 4x^2 + x^4/2

Any help explaining?
Top ones meant to be 1/2*(4+x^2)^2 i think that may alter the outcome.
I{1}=8+4x^2+x^4/2+C=4x^2+x^4/2+K
I{2}=4x^2+x^4/2+A
=>A=K ie A=8+C
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top