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Honours Maths Help

leavingcert · 2010-06-10 18:45:03

How do you integrate 7xdx 9+2x^2 Anybody any idea whats coming up for 1st principals?

10-06-2010 7:45pm

#1

leavingcert

Registered Users Posts: 108 ✭✭

Join Date: February 2010

Posts: 89

How do you
integrate
7xdx
9+2x^2

Anybody any idea whats coming up for 1st principals?

0

Comments

#2 10-06-2010 8:36pm

blubloblu

Registered Users Posts: 1,226 ✭✭✭

Join Date: September 2005

Posts: 1148

Did you mean:
[latex]\int \frac{7x}{9+2x^{2}}dx[/latex]
In that case, take out the 7,
[latex]7\int \frac{x}{9+2x^{2}}dx[/latex]

Let [latex]u = 9+2x^{2}[/latex]

[latex]du = 4x[/latex]

[latex]\frac{7}{4}\int \frac{1}{u}du[/latex]

[latex]\frac{7}{4} \ln u[/latex]

[latex]\frac{7}{4} \ln (9+2x^{2})[/latex]

0