Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.

Given : ∫ tan²(θ)sec²(θ)dθ

Applying u-substitution : u = tan(θ),

=> ∫ u²du

Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1

Substitute back u = tan(θ) : tan^2+1(θ)/2+1

Simplify : 1/3tan³(θ)

Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.

7 0

3 years ago

How to solve word problems

Lapatulllka [165]

<span>Read the problem entirely.
Get a feel for the whole problem.
List information and the variables you identify.
Attach units of measure to the variables (gallons, miles, inches, etc.)
Define what answer you need, as well as its units of measure.
Work in an organized manner. ...<span>Look for the "key" words (above)</span></span>

6 0

3 years ago

Read 2 more answers

A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is th

pav-90 [236]

Answer:0.000810

Step-by-step explanation:

Given

A committee of 3 members is formed using

5 Admin, 34 teachers, and 4 staff

Favorable outcomes are selecting 3 members as Administrators

total members =5+34+4=43