Hint: what is the derivative of sec(x)? what about tan(x)?

note that

Find the general antiderivative of the function below.

F(t) =

for the first part, use the fact that

now, .....this is known as the power rule for integrals

for the second part, Hint: what is the derivative of ln(x)?

use the power rule

Find the general antiderivative off(x) = 6x.

F(x) =

use the power rule (Hint: you need to change the function a bit, to make it look like the form that the power rule applies to)Find the general antiderivative of the function below.

G(x) =

Hint: what is the derivative of -cos(x)?Find an antiderivativeF(x) withF'(x) =f(x) andF(0) = 0.f(x) = sin(x)

F(x) =

what is the anti-derivative of sin(x)? what if we plug in x = 0 into the anti-derivative?

Hint: what is the derivative of arctan(x)?Evaluate the indefinite integral below.

use the power rule

Evaluate the indefinite integral below.