Find the integral of sin (7x +5).  

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to find the integral of sin (7x +5)

We first substitute 7x +5 with y. Now differentiate y with respect to x, we get dy = 7 dx. Substitute these in the given expression.

Int [sin (7x +5) dx]

=> Int [sin y * (1/7) dy]

=> 1/7 Int [sin y dy]

=> 1/7 (- cos y) +C

replace y with the 7x +5 again

=> (1/7) [- cos (7x +5)] + C

=> (-1/7) cos (7x +5) +C

Therefore the indefinite integral of sin (7x +5) is (-1/7) cos (7x +5) +C.

We’ve answered 318,983 questions. We can answer yours, too.

Ask a question