1 / | | sin(5*x + 3) dx | / 0
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of sine is negative cosine:
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | cos(5*x + 3) | sin(5*x + 3) dx = C - ------------ | 5 /
cos(8) cos(3) - ------ + ------ 5 5
=
cos(8) cos(3) - ------ + ------ 5 5
Use the examples entering the upper and lower limits of integration.