First slide

Integration

Question

Integrate the following : $\int (2 t - 4)^{- 4} d t =$

Moderate

A

$- \frac{(2 t - 4)^{- 3}}{6} + C$
B

$\frac{(2 t - 4)^{3}}{6} + C$
C

$\frac{(2 t - 4)^{3}}{2} + C$
D

$\frac{(2 t - 4)^{- 3}}{2} + C$

Solution

$\begin{array}{l} u = 2 t - 4 \\ \int \frac{u^{- 4} d u}{2} = - \frac{1}{2} (\frac{u^{- 3}}{3}) + C \end{array}$

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