Wednesday, February 20, 2013

Find the integral of sin (7x +5).

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.

No comments:

Post a Comment

How is Anne's goal of wanting "to go on living even after my death" fulfilled in Anne Frank: The Diary of a Young Girl?I didn't get how it was...

I think you are right! I don't believe that many of the Jews who were herded into the concentration camps actually understood the eno...