Posted by **Mai** on Sunday, May 22, 2011 at 10:22pm.

Explain how you would use the power integration formula to integrate the function f(x) = (1/x^2)-(1/x)+(1/4).

- Calculus -
**drwls**, Monday, May 23, 2011 at 3:44am
Integrate each of the three terms separately, using what you call the "power integration formula", and add up the results.

The formula you are probably refering to is:

Integral of (a*x^n) = a*n*x^(n+1)/(n+1)

where a is the constant coefficient and n is the constant exponent.

1/4 can be thought of as (1/4)*x^0, so its integral is (1/4)*x^1/1 = x/4

The integral of the 1/x term is a special case, since you cannot divide by zero. Its integral is the natural logarithm of x, ln x

Now integrate the 1/x^2 term and add the integral results of all three terms. You can add an arbitrary constant at the end if you wish.

The final answer is

-1/x + ln x +x/4 + C

- Calculus -
**help**, Saturday, February 4, 2012 at 6:41am
How do you integrate a radical function such as f(x)= ã(7&4x^5 )- 3ã(6&x^5 )- 11∜x +3∛x ? Describe your strategy.

## Answer This Question

## Related Questions

- Integral calculus - Please can anyone help with the following problems - thanks...
- calculus-integration! - should i use substitution?? if yes how should should i ...
- calculus-integration - integrate -2/xln^4(x)...plz help me..give me an idea on ...
- Integration - How should i integrate (4cos^2 - 1)? Do I use a certain formula??
- calculus help please - dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into ...
- Calculus - I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm ...
- Competetion help on Integration - If there four options are given to a Defenite ...
- calculus 4; multiple integration - The electrical charge distribution on a ...
- calculus - power series ASAP please :) - using power series, integrate & ...
- Calculus - S'(t)= -147.78e^(-0.2t) S=7389 units when t=0 find the function that ...

More Related Questions