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

Assessment: JAMB UTME - Mathematics - 2019 Subject: General Mathematics

Question 1 Report

- 2 x^{- 2} - \frac{7}{3} x^{3} + \frac{5}{2} x^{2} - 6 x

2 x^{2} + \frac{7}{3} x^{3} - 5 x + 6

12 x^{2} + 14 x - 5

- 12 x^{- 4} - 14 x + 5

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.

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Integration

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

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