Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the integrals of the functions 1 / sin x cos ^3 x

Q19   Find the integrals of the functions \frac{1}{\sin x \cos ^3 x }

Answers (1)

best_answer

Let 
We can write 1 = \sin^2x +\cos^2x
Then, the equation can be written as  
I =\frac{\sin^2x +\cos^2x}{\sin x\cos^3x}

I =\int (\tan x+\frac{1}{\tan x})\sec^2 x dx
put the value of tanx = t
So, that \sec^2xdx =dt

\\\Rightarrow I=\int (t+\frac{1}{t})dt\\ =\frac{t^2}{2}+\log\left | t \right |+C\\ =\log\left | \tan x \right |+\frac{1}{2}\tan^2x+C

Posted by

manish

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE question papers QR codes part of 'internal systems'; board cautions 'unverified claims'
anam-khan

Delhi court grants interim bail to Class 12 student in stabbing case to appear for CBSE exam
anam-khan

CBSE Class 12 History Exam 2026 Analysis: Moderate paper, tricky MCQs, student-friendly pattern

Latest Question