Question

integration 1/x^3 DX

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Answer 1

Answer:

Heyy!

Here's your answer

Step-by-step explanation:

We first need to recognize that

1/x^3

is equivalent to x^−3 .

Once we get that far, the problem becomes quite simple to solve.

Do be careful, however, as we are dealing with a negative exponent, so when we add one to the power as we take the anti-derivative, the magnitude of the power will decrease. This also means that our constant will have to be negative as well, since the x term in the integral is positive. Taking the anti-derivative, we get:

−1/2*x^−2+C

This is equivalent to −1/2x^2+C

As usual, you can check this answer by taking the derivative, which gives you

x^−3 .

Hope this helps you...