Question

Evaluate the integral: $$ \int \frac{24 \sqrt{x^2 - 64}}{x^4} dx $$ (A) Which trig substitution is correct for this integral? O x = 64 sec(θ) O x = 8 sin(θ) O x = 8 sec(θ) O x = 8 tan(θ) O x = 24 sin(θ) O x = 64 tan(θ) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter θ, type the word theta. $$ \int d\theta $$ (C) What is the value of the above integral in terms of θ? + C (D) What is the value of the original integral in terms of x? + C

Name: evaluate the integral int frac24 sqrtx2 64x4 dx a which trig substitution is correct for this integral o x 64 sec o x 8 sin o x 8 sec o x 8 tan o x 24 sin o x 64 tan b which integral do you 50805
Uploaded: 2023-03-10T11:29:28-08:00
Duration: 5 min 17 s
Channel: Supreeta N
Description: evaluate the integral int frac24 sqrtx2 64x4 dx a which trig substitution is correct for this integral o x 64 sec o x 8 sin o x 8 sec o x 8 tan o x 24 sin o x 64 tan b which integral do you 50805

          Evaluate the integral:
$$ \int \frac{24 \sqrt{x^2 - 64}}{x^4} dx $$
(A) Which trig substitution is correct for this integral?
O x = 64 sec(θ)
O x = 8 sin(θ)
O x = 8 sec(θ)
O x = 8 tan(θ)
O x = 24 sin(θ)
O x = 64 tan(θ)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter θ, type the word theta.
$$ \int  d\theta $$
(C) What is the value of the above integral in terms of θ?
+ C
(D) What is the value of the original integral in terms of x?
+ C

$evaluate the integral int frac24 sqrtx2 64x4 dx a which trig substitution is correct for this integral o x 64 sec o x 8 sin o x 8 sec o x 8 tan o x 24 sin o x 64 tan b which integral do you 50805$

Added by Jake R.

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