(5-6x)dx integrate

Answer 1

To integrate the expression (5-6x)dx, we will use the power rule of integration.

Integrating 5 with respect to x:
∫5 dx = 5x + C1, where C1 is the constant of integration.

Integrating -6x with respect to x:
∫-6x dx = -6 * ∫x dx
= -6 * (x^2/2) + C2
= -3x^2 + C2, where C2 is the constant of integration.

Putting it all together, the integral of (5-6x)dx is:
5x - 3x^2 + C, where C = C1 + C2 is the constant of integration.