1 / | | / 2\ | | 6 3*x | | |7*x - 5*x + ----| dx | \ 2 / | / 0
Integral(7*x^6 - 5*x + 3*x^2/2, (x, 0, 1))
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
The integral of a constant times a function is the constant times the integral of the function:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
So, the result is:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / 2\ 3 2 | | 6 3*x | 7 x 5*x | |7*x - 5*x + ----| dx = C + x + -- - ---- | \ 2 / 2 2 | /
Use the examples entering the upper and lower limits of integration.