- #1
buffgilville
- 91
- 0
how do I find to antiderivative of:
x((2x^2) - 2)^3
x((2x^2) - 2)^3
buffgilville said:how do I find to antiderivative of:
x((2x^2) - 2)^3
There was a typo in my message. It isbuffgilville said:from there I was suppose to compute as x is goes from 0 to 1
I got 0, but the answer is -1
The antiderivative of X((2x^2) - 2)^3 is (1/5)x^5 - (2/3)x^3 + (2/3)x + C.
To solve for the antiderivative of X((2x^2) - 2)^3, you can use the power rule and the chain rule to integrate each term separately. Then, you can add the constant of integration (C) to the end of the expression.
Yes, the antiderivative of X((2x^2) - 2)^3 can be simplified using algebraic techniques. However, it is generally recommended to leave the expression in its expanded form to avoid confusion.
No, there is no specific shortcut for finding the antiderivative of X((2x^2) - 2)^3. However, familiarizing yourself with integration techniques and practicing regularly can make the process faster and more efficient.
Yes, the antiderivative of X((2x^2) - 2)^3 can be used to find the definite integral by simply plugging in the upper and lower limits of integration and subtracting the results. This is known as the fundamental theorem of calculus.