To evaluate the indefinite integral ∫ 4/√x dx, we can use the power rule for integration. The power rule states that the integral of x^n with respect to x is (x^(n+1))/(n+1), where n is any real number except -1.
In this case, we have ∫ 4/√x dx. We can rewrite this as 4x^(-1/2), where the exponent -1/2 represents the square root of x.
Applying the power rule, we increase the exponent by 1 and divide by the new exponent:
∫ 4/√x dx = 4 * (x^(-1/2 + 1))/(-1/2 + 1)
Simplifying further:
∫ 4/√x dx = 4 * (x^(1/2))/(1/2)
∫ 4/√x dx = 8 * √x + C
Therefore, the indefinite integral of 4/√x dx is 8√x + C, where C is the constant of integration.