# Fraction Integration

• May 7th 2008, 11:06 AM
Simplicity
Fraction Integration
Q: $\displaystyle\int^1_0 \frac{1}{3+t^2} \, \mathrm{d}t$

This is a follow on after I've substituted the $t$ value that they asked for. Can someone do this? Thanks in advance. (Smile)
• May 7th 2008, 11:13 AM
Moo
Quote:

Originally Posted by Air
Q: $\displaystyle\int^1_0 \frac{1}{3+t^2} \, \mathrm{d}t$

This is a follow on after I've substituted the $t$ value that they asked for. Can someone do this? Thanks in advance. (Smile)

Hello,

$\frac{1}{3+t^2}=\frac 13 \cdot \frac{1}{1+(t/\sqrt{3})^2}$, right ? :)

Substitute $u=\frac{t}{\sqrt{3}}$ (Wink)