∫^2 (7 4x)dx = tan (7 4x) ddx (7 4x) + c = tan (7 4x) ( 4) + c = 4 tan (7 4x) + c #160; (Ans) ...

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Integration by Substitution

Solve ∫27-4...

Question

Solve $\int {sec}^{2} (7 - 4 x) d x$

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Solution

$\int {sec}^{2} (7 - 4 x) d x$

$= tan (7 - 4 x) \frac{d}{d x} (7 - 4 x) + c$

$= tan (7 - 4 x) (- 4) + c$

$= - 4 tan (7 - 4 x) + c$ (Ans)

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