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