1 / | | 12*sin(3*x) dx | / 0
Integral(12*sin(3*x), (x, 0, 1))
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:
/ | | 12*sin(3*x) dx = C - 4*cos(3*x) | /
4 - 4*cos(3)
=
4 - 4*cos(3)
4 - 4*cos(3)
Use the examples entering the upper and lower limits of integration.