pi -- 2 / | | / ___ \ | \\/ 3 *cos(x) - sin(x)/ dx | / 0
Integral(sqrt(3)*cos(x) - sin(x), (x, 0, pi/2))
Integrate term-by-term:
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:
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:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / ___ \ ___ | \\/ 3 *cos(x) - sin(x)/ dx = C + \/ 3 *sin(x) + cos(x) | /
Use the examples entering the upper and lower limits of integration.