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15.1 Question 1.

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

15.1 Question 1. If anyone knows the answer please help me. Step by step would be-example-1

1 Answer

4 votes

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

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