definite integral

Practise definite integral with an original VectorPaths question, worked explanation and related VCE Methods practice.

2 practice marks

Original practice question

Find the value of $\displaystyle\int_{-1}^{2} 3x^2 + x \, dx$.

Worked explanation

• Find the antiderivative F(x)

  \[F(x) = x^{3} + \frac{x^{2}}{2}\]

• Evaluate F(2) - F(-1)

  \[= \frac{21}{2}\]

21/2

Original VectorPaths practice; not an official VCAA question or marking rubric.