pi / | | 2*sin(5*x) dx | / 0
Integral(2*sin(5*x), (x, 0, pi))
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*cos(5*x) | 2*sin(5*x) dx = C - ---------- | 5 /
Use the examples entering the upper and lower limits of integration.