1 / | | sin(6*x) dx | / 0
Integral(sin(6*x), (x, 0, 1))
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:
Add the constant of integration:
The answer is:
/ | cos(6*x) | sin(6*x) dx = C - -------- | 6 /
1 cos(6) - - ------ 6 6
=
1 cos(6) - - ------ 6 6
Use the examples entering the upper and lower limits of integration.