shamieh
- 538
- 0
A little confused on something.
Suppose I have the integral
$$2 \int 4 \sin^2x \, dx$$
So I understand that $$\sin^2x = \frac{1 - \cos2x}{2}$$
BUT we have a 4 in front of it, so shouldn't we pull the $$4$$ out in front of the integral to get:
$$8 \int \frac{1 - \cos 2x}{2} \, dx$$
then pull out the $$\frac{1}{2}$$ to get: $$4 \int 1 - \cos 2x \, dx$$
then:
$$8 [ x + \frac{1}{2} \sin2x ] + C$$?
Suppose I have the integral
$$2 \int 4 \sin^2x \, dx$$
So I understand that $$\sin^2x = \frac{1 - \cos2x}{2}$$
BUT we have a 4 in front of it, so shouldn't we pull the $$4$$ out in front of the integral to get:
$$8 \int \frac{1 - \cos 2x}{2} \, dx$$
then pull out the $$\frac{1}{2}$$ to get: $$4 \int 1 - \cos 2x \, dx$$
then:
$$8 [ x + \frac{1}{2} \sin2x ] + C$$?