1. ## Fraction Integration

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

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

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

This is a follow on after I've substituted the $\displaystyle t$ value that they asked for. Can someone do this? Thanks in advance.
Hello,

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

Substitute $\displaystyle u=\frac{t}{\sqrt{3}}$