antiderivative

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

1 practice marks

Original practice question

Find $\displaystyle\int 2x^{-1/2} \, dx$.

Worked explanation

• ∫x^n dx = x^(n+1)/(n+1) + C

  \[\int 2x^{-1/2} \, dx = 4 \sqrt{x} + C\]

\[4 \sqrt{x} + C\]

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