htaccess file

Hi,

My wordpress website automatically generates a /index.php file which are currently 302 redirected to its equivalent non /index.php (E.g contact-us/index.php to /contact-us/ which is my preferred version) I want to get rid of this /index.php file and 301 permanent redirect them to its equivalent.

How can I do this in my .htaccess file? This is my current .htaccess file.

# BEGIN WordPress "
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
RewriteRule ^index\.php$ - [L]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule . /index.php [L]
</IfModule>

# END WordPress

I was thinking to change that to this:

# BEGIN WordPress
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
RewriteCond %{THE_REQUEST} \/index.php\ HTTP [NC]
RewriteRule (.*)index.php$ /$1 [R=301,L]
RewriteRule . /index.php [L]
</IfModule>

# END WordPress

Will this work?

Please let me know. Feedback is highly appreciated.

Thanks