For each of the indefinite integrals below, choose which of the following substitutions would be most helpful in evaluating the integral. Enter the appropriate letter (A, B, or C) in each blank.

DO NOT EVALUATE THE INTEGRALS.

A. x = 5tanθ
B. x = 5 sinθ
C. x = 5 secθ

1. Zx2p25+x2 dx
2. Zx2 dx√25−x2
3. Z(x2 −25)5/2dx4. Z px2 −25dx
5. Zdx(25+x2)3

Correct Answers:
• A
• B
• C

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.