definite integral

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

2 practice marks

Original practice question

Evaluate $\displaystyle\int_{1}^{4} 2x^2 + x \, dx$.

Worked explanation

• Find the antiderivative F(x)

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

• Evaluate F(4) - F(1)

  \[= \frac{99}{2}\]

99/2

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