Posted by APpreciative student on Tuesday, November 23, 2010 at 1:48am.
Hi! Thank you very much for your help---
I'm not sure what the answer to this is; how do I solve?
Find antiderivative of
I did integration by parts and got to
(1/(x^2))[sec(1/x)] + 2*[antiderivative of (1/(x^3))(sec(1/x))dx]
- AP Calculus BC - MathMate, Tuesday, November 23, 2010 at 7:51am
Integration by parts is the same as any other tool. It's just a tool. You can go around in circles with it... unless you know where you're going.
For this particular problem, I propose to use another tool, substitution.
Did you notice there is the factor (1/x²) at the beginning? What would ∫(1/x²)dx give? ∫-d(1/x).
So the integral becomes:
= ... +C
Do remember, however, if and when you have to evaluate a definite integral, the limits have to correspond to the integration variable, which in this case is (1/x).
Answer This Question
More Related Questions
- Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...
- calculus - Use integration by parts to evaluate the integral of x*sec^2(3x). My ...
- calculus (check my work please) - Not sure if it is right, I have check with the...
- Calculus - could anybody please explain how sec x tan x - ¡ì sec x tan^2(x) dx...
- Calculus 12th grade (double check my work please) - 2- given the curve is ...
- Calculus - Integration - Hello! I really don't think I am understanding my calc ...
- Math - Indefinite Integration - Use integration by parts to solve: I = f (x^3)(e...
- calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...
- calculus - The antiderivative of arctan(4t)dt by integration of parts.
- Calculus B - The antiderivative of ln(2x+1) using integration by parts.