Question

How do you integrate `\int ( \frac { 7} { 3} x ^ { 4} - 6x ^ { 2} - 8x + \frac { 5} { 2} ) d x`?

Answer 1

`7/15x^5-2x^3-4x^2+5/2x+c`

Explanation:

`"integrate each term using the "color(blue)"power rule"`

`•color(white)(x)int(ax^n)dx=a/(n+1)x^(n+1)color(white)(x)n!=-1`

`rArrint(7/3x^4-6x^2-8x+5/2)dx`

`=7/15x^5-2x^3-4x^2+5/2x+c`

`"where c is the constant of integration"`