No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
X-2 for x=-3
-3-2=-5, add dem negatives
Answer:
-5/ (x^19 * y^12)
Step-by-step explanation:
-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)
15 and 3 have a GCF of 3.
-5x^-10 * y^-3 * x^-9 * y^-9/1
Reduce similar occurrences. *twice in a row*
-5x^(-10 + (-9)) * y^(-3 + (-9))/1
Remove extra signs *twice in a row*
-5x^(-10 - 9) * y^(-3 - 9)/1
Remove extraneous 1.
-5x^(-10 - 9) * y^(-3 - 9)
Add integers.
-5x^-19 * y^-12
Negative powers change multiplication to division.
-5 / (x^19 * y^12) is the final answer.
Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.
