Question

Please Help!!! D:

Evaluate the Integral of (4u^2- 5u^-1)du

Answer 1

use the standard integrals

integral of a x^n = a x^(n + 1) / (n + 1)
integral of x^-1 = ln x

Answer 2

how would I write that out?

Answer 3

in the case of 4 u^2 its [4 u^(2 + 1) ] / (2 + 1)

simplify that

Answer 4

so that would simplify to 4u^3/3... right?

Answer 5

right

Answer 6

now do the same to 5u^-1 which would simplify to 5?

Answer 7

no - check my first pos

Answer 8

the formula does not work for u^(-1)

Answer 9

so 5 ln |u| ?

Answer 10

yes

Answer 11

+c ?

Answer 12

yes + constant of integration

Answer 13

so my overall answer is 4u^3/3-5ln|u|+c ?

Answer 14

yep

Answer 15

let me see if the program that my online hw uses accepts it

Answer 16

ok cool it looks like it took it! heres the next one...

Answer 17

Evaluate the Integral of \[17\sqrt[3]{x}dx\]

Answer 18

Thank you for the help with the last one btw!