1 / | | cos(100*x + 2) dx | / 0
Integral(cos(100*x + 2), (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 cosine is sine:
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | sin(100*x + 2) | cos(100*x + 2) dx = C + -------------- | 100 /
sin(2) sin(102) - ------ + -------- 100 100
=
sin(2) sin(102) - ------ + -------- 100 100
-sin(2)/100 + sin(102)/100
Use the examples entering the upper and lower limits of integration.