Question

15.1 Question 1.

If anyone knows the answer please help me. Step by step would be greatly appreciated. Thank you.

Answer 1

Answer:
`(x^9)/(3)` -
`(7x^4)/(5)` + 9x + C

Explanation:

1. Seperate equation

= 3∫x^8dx - 7∫x^4dx + 9∫1dx

2. Solve ∫x^4dx; apply power rule: ∫x^ndx = x^n+1/n+1, where n=8

= x^9/9

3. Solve ∫x^4dx; apply power rule where n=4

= x^5/5

4. Solve ∫1dx; apply constant rule: ∫kf(x)dx = k∫f(x)dx

= x

5. Sub in solved integrals

3∫x^8dx - 7∫x^4dx + 9∫1dx

=
`(x^9)/(3)` -
`(7x^4)/(5)` + 9x