Most major U.S. integrated oil company shares were trading higher on Thursday, as crude oil futures and the stock market rose.

The Amex Oil Index was up 1.5%, or 13.52 to 888.89.

Light, sweet crude oil futures for May delivery were recently trading higher by $2.48 to $51.86 a barrel on the New York Mercantile Exchange.

Shares of Sunoco ( SUN) were up 3% to $29.06.

Chevron ( CVX), which will provide a first-quarter interim earnings update after the market close today, was higher by 1.1% to $69.23.

ConocoPhillips ( COP) shares were higher by 1.2% to $40.01.

BP ( BP) was down 0.7% to $39.31.

Exxon Mobil ( XOM) shares were higher by 1.6% to $70.06.

Royal Dutch Shell ( RDS.B) shares were down 0.5% to $42.82.