Page 11 - Calculus for the Clueless, Calc II

C.

D.

E.

F.

G.

H.

I.

J.

You must know these integrals perfectly!!

Example 7—

u = 4x; dx = ¼ du.

Note

Whenever you have the integral of one of these trig functions and there is a constant multiplying the angle, you
must, by sight, integrate this without letting u equal the angle. Otherwise, the integrals in Chap. 6 will take
forever.

Example 8—

This is the crazy angle substitution:
3
u = crazy angle = 1 - 3x ; du =-9x 2
dx.