IB skill practice

Integrate with the power rule

Find indefinite and definite integrals using the reverse power rule and correct constant notation.

Paper 1 5 marks Difficulty 2

Integrate using the reverse power rule

Find \(\int (4x^{3} - 6)\,dx\). Enter the coefficient of the main antiderivative term, the new power of \(x\), and the coefficient of the linear \(x\) term.

Worked practice: integrate with the power rule

Increase the power, divide the coefficient, and carry the constant term into the linear term.