3/10 / | | sin(10*x) dx | / 1/10
Integral(sin(10*x), (x, 1/10, 3/10))
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(10*x) | sin(10*x) dx = C - --------- | 10 /
cos(3) cos(1) - ------ + ------ 10 10
=
cos(3) cos(1) - ------ + ------ 10 10
-cos(3)/10 + cos(1)/10
Use the examples entering the upper and lower limits of integration.