10x^3*9x^2
1 / | | 3 2 | 10*x *9*x dx | / 0
Integral(10*x^3*9*x^2, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
There are multiple ways to do this integral.
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 is when :
So, the result is:
Now substitute back in:
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 is when :
So, the result is:
Now substitute back in:
So, the result is:
Add the constant of integration:
The answer is:
Use the examples entering the upper and lower limits of integration.