t / | | sin(3*x) | -------- dx | 3 | / 0
The integral of a constant times a function is the constant times the integral of the function:
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:
So, the result is:
Add the constant of integration:
The answer is:
/ | | sin(3*x) cos(3*x) | -------- dx = C - -------- | 3 9 | /
Use the examples entering the upper and lower limits of integration.