Question attached to image 12:13 PM Tue Dec 154%Evuluute3 secce) ( sede) t tano)o=do-(include all steps)7

Name: Question attached to image 12:13 PM Tue Dec 154%Evuluute3 secce) ( sed
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Question attached to image 12:13 PM Tue Dec 154%Evuluute3 secce) ( sede) t tano)o=do-(include all steps)7

To Determine: evaluate ∫0π43secθsecθ+tanθdθ Given: we have an integral ∫0π43secθsecθ+tanθdθ…

Answered: S. Evaluute 3 seale) ( sede) +…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 34E

See similar textbooks

Related questions

Topic Video

Question

Question attached to image

12:13 PM Tue Dec 1
54%
Evuluute
3 secce) ( sede) t tano)o=
do-
(include all steps)
7

Expert Solution

Step 1

To Determine: evaluate $\int_{0}^{\frac{π}{4}} 3 s e c θ (s e c θ + \tan θ) d θ$

Given: we have an integral $\int_{0}^{\frac{π}{4}} 3 s e c θ (s e c θ + \tan θ) d θ$

Explanation: now we have an integral

$\int_{0}^{\frac{π}{4}} 3 s e c θ (s e c θ + \tan θ) d θ$

taking 3 common outside the integral .

$= 3 \int_{0}^{\frac{π}{4}} (s e c^{2} θ + s e c θ \tan θ) d θ = 3 \int_{0}^{\frac{π}{4}} (\frac{1}{\cos^{2} θ} + \frac{\tan θ}{\cos θ}) d θ = 3 (\int_{0}^{\frac{π}{4}} \frac{1}{\cos^{2} θ} d θ + \int_{0}^{\frac{π}{4}} \frac{\tan θ}{\cos θ} d θ)$

Step by step

Solved in 2 steps

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions