Question

Интеграл x^6dx Интеграл x^12dx Интеграл 3x^4dx

Answer 1

∫х^6dx = x^7/7 +С

∫ x^12 dx = x^13/13 + C

∫3x^4 dx = 3x^5/5 + C

Answer 2

To find the integrals of the given expressions, follow these steps:

1. ∫x^6 dx: The integral of x^6 with respect to x is:

∫x^6 dx = (x^7)/7 + C, where C is the constant of integration.

2. ∫x^12 dx: The integral of x^12 with respect to x is:

∫x^12 dx = (x^13)/13 + C, where C is the constant of integration.

3. ∫3x^4 dx: The integral of 3x^4 with respect to x is:

∫3x^4 dx = 3 * ∫x^4 dx = 3 * (x^5)/5 + C, where C is the constant of integration.

Keep in mind that when integrating, you should always add a constant of integration (C) as the result of integration can have an infinite number of possible functions that differ only by a constant value.