1. ## Constructing Antiderivatives!!

Find the general antiderivative of the function below. Use theta for θ.

P(θ) = + C

need help with another one please, just dont know where to begin, any help would be fantastic, thanks

2. Some hints:
$\frac{d}{dx} \sec \theta = \sec \theta \tan \theta$
$\frac{d}{dx} \tan \theta = \sec^{2} \theta$

Can you see how these apply to your integral? Basically you're going backwards from derivatives you learned in differentiation.

3. Originally Posted by o_O
Some hints:
$\frac{d}{dx} \sec \theta = \sec \theta \tan \theta$
$\frac{d}{dx} \cot \theta = -\csc^{2} \theta$

Can you see how these apply to your integral? Basically you're going backwards from derivatives you learned in differentiation.

Hey i have a problem similar to this and I dont see how that applies to the question.

4. Originally Posted by bluejewballs
Hey i have a problem similar to this and I dont see how that applies to the question.
the first part would be because the derivative of the integral or vice versa is the original function

5. Let me colour code this:

$p(\theta) = {\color{red} \sec \theta \tan \theta } + {\color{blue}\frac{6}{\cos^{2} \theta}}$

$\frac{d}{dx} \sec \theta = {\color{red} \sec \theta \tan \theta }$
$\frac{d}{dx} \tan \theta = {\color{blue}sec^{2} \theta}$**

** Should've been this one in the first post