pi -- 4 / | | 2*sin(3*x) | ---------- dx | 3 | / pi -- 6
Integral(2*sin(3*x)/3, (x, pi/6, pi/4))
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:
/ | | 2*sin(3*x) 2*cos(3*x) | ---------- dx = C - ---------- | 3 9 | /
___ \/ 2 ----- 9
=
___ \/ 2 ----- 9
sqrt(2)/9
Use the examples entering the upper and lower limits of integration.