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1 of 8 0-day streak

Anti-differentiate by recognition from a supplied derivative

Question 1 of 8

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The following exact function data are given

No decimal approximation is needed

\[F(t)=\left(19\,t - 11\right)^{\frac{2}{3}}\]
\[F'(t)=\frac{2}{3}\,\left(19\,t - 11\right)^{-\frac{1}{3}}\,\left(19\right)\]
\[g(t)=-2\,F'(t)\]

Work on the interval where

\[19\,t - 11>0\]
2 marks

Write the general anti-derivative of the target function

Enter the coefficient and exponent in the complete family

\[G(t)=A\left(19\,t - 11\right)^n+C\]