Question

interate sin (5-7x)dx​ with proper steps​

Answer 1

Answer:

$\\\tt \dfrac{cos(5-7x)}{7 } +C$

Explanation:

Let y = 5-7x

Then after differentiating both sides,

dy = -7dx

Substitute for these values in the given expression:

$\\\tt \int sin(5-7x) dx\\\\\tt = \int sin(y) \dfrac{dy}{-7} \\\\\tt = \dfrac{-cosy}{-7 } +C$

Substituting for y we have,

$\\\tt = \dfrac{-cos(5-7x)}{-7 } +C$