Integrate ∫(4x−3−7x2+5x−6)dx ∫ ( 4 x − 3 − 7 x 2 + 5 x − 6 ) d x .

Integrate $\int (4x^{-3}-7x^2+5x-6)dx$.

Answer Details

The correct answer is  ∫(4x−3−7x2+5x−6)dx = -2x - 2 - 73x^3 + 52x^2 - 6x. The symbol ∫ represents an integral, which is the area under a curve. To find the integral of a polynomial, we use antiderivatives, which are the reverse of derivatives. In this case, the polynomial is 4x - 3 - 7x^2 + 5x - 6, and we find its antiderivative by adding a constant of integration to each term, which is why there is a " - 2" at the end of the answer.