Question

intergrtate 5(10x-3)^-1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To integrate 5(10x-3)^-1, we can use the power rule for integration.

The power rule states that ∫x^n dx = (x^(n+1))/(n+1) + C, where C is the constant of integration.

In this case, n = -1 because the expression has a negative exponent.

So, using the power rule, we have:

∫5(10x-3)^-1 dx = 5∫(10x-3)^-1 dx
= 5 * ln|10x-3| + C

Therefore, the integral of 5(10x-3)^-1 is 5 * ln|10x-3| + C, where C is the constant of integration.