integration question (1 Viewer)

[A2RAYA]

ok we just started integration and this question has come up and i keep getting close to the answer, but i never actually get it..the answer is 0.0126 and i keep getting something around 0.034....a little help??

int(x2+x+3/3x5)dx with 3 and 4 as the endpoints

 

[Calculon]

you split it up like such
(x²/3x⁵)+(x/3x⁵)+(3/3x⁵)
Then you simplify
(1/3x³)+(1/3x⁴)+(1/x⁵)

/4
| 1/3x³+1/3x⁴+1/x⁵dx
/3

[-1/(6x²) -1/(9x³) -1/(4x⁴)]
Then substute in

[-1/(6*4²) -1/(9*4³) -1/(4*4⁴)] - [-1/(6*3²) -1/(9*3³) -1/(4*3⁴)]

I haven't got a calculator near me, but that should give you the correct answer

 

[Sarah168]

hahaha I'm such an idiot, I have a calculator in front of me so i calculated that whole damn thing out...i got 0.0226...

but knowing me, I probably made some stupid silly mistake and messed it up

 

[clive]

Originally posted by Calculon

I haven't got a calculator near me, but that should give you the correct answer

Yes, it gives the correct answer - i just checked it with my calculator

 

[Sarah168]

damn! me and my silly mistakes...

I always make silly mistakes in exams, even after checking and re doing most of the questions when i have the time...

 

[xeriphic]

i got 0.012571, same as clive

here was my calculation after calculon

= [-1/96-1/576-1/1024] - [-1/54-1/243-1/324]

= [-0.013129] - [-0.0257]

= 0.012571

 

[A2RAYA]

ahhhh k sweet.....i kept gettin close but didnt get it......i thought the answer might have been wrong in the textbook, but guess not