Question

Evaluate the integral. $$ \int \frac{\sqrt{y^2 - 64}}{y} dy, y > 8 $$ Which substitution transforms the given integral into one that can be evaluated directly in terms of $$ \theta $$? O A. $$ y = 8 \sec \theta $$ O B. $$ y = 8 \sin \theta $$ O C. $$ y = 8 \tan \theta $$ Given the expression for y above, find dy in terms of $$ \theta $$ and $$ d\theta $$. $$ dy = \square d\theta $$ Evaluate the integral. $$ \int \frac{\sqrt{y^2 - 64}}{y} dy = \square $$

Name: evaluate the integral int fracsqrty2 64y dy y 8 which substitution transforms the given integral into one that can be evaluated directly in terms of theta o a y 8 sec theta o b y 8 sin theta 96498
Uploaded: 2023-10-03T19:44:52-08:00
Duration: 3 min 28 s
Channel: William Mead
Description: evaluate the integral int fracsqrty2 64y dy y 8 which substitution transforms the given integral into one that can be evaluated directly in terms of theta o a y 8 sec theta o b y 8 sin theta 96498

          Evaluate the integral.
$$ \int \frac{\sqrt{y^2 - 64}}{y} dy, y > 8 $$
Which substitution transforms the given integral into one that can be evaluated directly in terms of $$ \theta $$?
O A. $$ y = 8 \sec \theta $$
O B. $$ y = 8 \sin \theta $$
O C. $$ y = 8 \tan \theta $$
Given the expression for y above, find dy in terms of $$ \theta $$ and $$ d\theta $$.
$$ dy = \square d\theta $$
Evaluate the integral.
$$ \int \frac{\sqrt{y^2 - 64}}{y} dy = \square $$

$evaluate the integral int fracsqrty2 64y dy y 8 which substitution transforms the given integral into one that can be evaluated directly in terms of theta o a y 8 sec theta o b y 8 sin theta 96498$

Added by Danny P.

Question

Please give Ace some feedback