Free Arc length of polar curves Practice Problems • Learn To Be

Let

L

denote the arc length of the polar curve

r=5\cos(2\theta)

for

0\le \theta \le \pi/4

.

Which one of these integrals represents the value of $L$ ?

Choose 1 answer:

A
$\displaystyle \int_0^{\pi/4} \,\dfrac{25}2\cos^2(2\theta)\, d\theta$
B
$\displaystyle \int_0^{\pi/4} \sqrt{1 + 100\sin^2(2\theta)}\,d\theta$
C
$\displaystyle 5\int_0^{\pi/4} \sqrt{1 + 3\sin^2(2\theta)}\,d\theta$
D
$\displaystyle \int_0^{\pi/4} \left(25\cos^2(2\theta) + 100\sin^2(2\theta)\right) d\theta$

Arc length of polar curves