CPM Homework Help : CALC Problem 8-8

Hint (a):

Remember that the integral 'undoes' the derivative.But notice that you are integrating as a final step: don't forget +C.

Hint (b):

Recall that e⁴^x^{+ 2} = e²e⁴^x and e² is a constant.

Hint (c):

$\text{Recall that sec}(x)=\frac{1}{\text{cos}(x)}\text{ and }\text{tan}(x)=\frac{\text{sin}(x)}{\text{cos}(x)}?$

Before integrating, rewrite the integrand so it is not a fraction.

Hint (d):

Use u-substitution.
u = sin²x

Hint (e):

Before integrating, expand the integrand.

Step (e):

$=\int_0^2\Big(16x^3-16x^2+4x\Big)dx$

Hint (d):