1 / | | / 4 \ | \x + 3*sin(3*x)/ dx | / 0
Integral(x^4 + 3*sin(3*x), (x, 0, 1))
Integrate term-by-term:
The integral of is when :
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:
The result is:
Add the constant of integration:
The answer is:
/ | 5 | / 4 \ x | \x + 3*sin(3*x)/ dx = C - cos(3*x) + -- | 5 /
6/5 - cos(3)
=
6/5 - cos(3)
6/5 - cos(3)
Use the examples entering the upper and lower limits of integration.