Integration (solve)

S=(5-6x)dx

To integrate S=(5-6x)dx, we can use the power rule of integration.

Integrating the term 5 with respect to x gives us 5x, and integrating the term -6x gives us -3x^2 (since we add 1 to the exponent and divide by the new exponent, so -6x integrates to -3x^2).

Therefore, the integral of S=(5-6x)dx is:

S = 5x - 3x^2 + C

where C is the constant of integration.