if so, i guess you have no idea what the power rule is. here's what you do. look up all your derivative formulas. the things you have here will be the right side of the equation. the anti-derivative will be on the left. for example,
you should find that:
so the anti-derivative of is since sec(x) is what you derived to get the sec(x)tan(x) so taking the antiderivative of that brings you back to sec(x). the + C is a constant. remember that when we take the derivative, if there is a constant, it's derivative is zero, so we put + C just in case there was a constant that got wiped out by the differentiation.
continuing with this example:
the anti-derivative of this is: (when we differentiate x we get 1).
we want this to pass through (0,0), which means we want when x = 0, y = 0
so, plug that in:
now solve for C
so the antiderivative is:
try the others