The integral of x^2 + 3x - 5 with respect to x is:
∫(x^2 + 3x - 5) dx
To solve this, we can use the power rule of integration, which states that the integral of x^n with respect to x is (x^(n+1))/(n+1) + C, where C is the constant of integration.
Using this rule, we can integrate each term of the polynomial separately:
∫(x^2 + 3x - 5) dx = ∫x^2 dx + ∫3x dx - ∫5 dx
= (x^3/3) + (3x^2/2) - (5x) + C
Therefore, the antiderivative or indefinite integral of x^2 + 3x - 5 with respect to x is:
(x^3/3) + (3x^2/2) - (5x) + C, where C is the constant of integration.