Question

What is `int (4 x^5 -7 x^4 + 9 x^3 -8 x^2 +2 x + 1) dx`?

Answer 1

Use the formula `int(x^n)dx = (x^(n + 1))/(n + 1) + C`.

`=>2/3x^6 - 7/5x^5 + 9/4x^4 - 8/3x^3 + x^2 + x + C`

If you differentiate this, you will get the same result as the original problem.

Hopefully this helps!