1 / | | sin(8*x) dx | / 0
Integral(sin(8*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(8*x) | sin(8*x) dx = C - -------- | 8 /
1 cos(8) - - ------ 8 8
=
1 cos(8) - - ------ 8 8
1/8 - cos(8)/8
Use the examples entering the upper and lower limits of integration.