Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Stuck here, help me understand: - Integral Calculus - JEE Main-11

Integrate \int \tan ^{4} x dx

  • Option 1)

    \frac{\tan ^{3}x}{3} - \tan x+ C

  • Option 2)

    \frac{\tan ^{3}x}{3} - \tan x+x+ C

  • Option 3)

    \frac{\tan ^{3}x}{3} + C

  • Option 4)

    \frac{\tan ^{3}x}{3} +\tan x+ C

 

Answers (1)

best_answer

As we have learned

Integration of trigonometric function of power m -

\int tan^{m}xdx , \int cot^{m}xdx

- wherein

for m=3

\int tan^{2}x.tanxdx

use tan^{2}x=sec^{2}x-1 and seperate

 

\int \tan^{4}x dx

\Rightarrow \int \tan^{2}x (\sec^{2}x -1) dx= \int \tan ^{2}x \sec ^{2} x dx -\int \tan ^{2}xdx

\Rightarrow \frac{\tan^{3}x}{3 }- \tan x + x +C 

 

 

 

 


Option 1)

\frac{\tan ^{3}x}{3} - \tan x+ C

Option 2)

\frac{\tan ^{3}x}{3} - \tan x+x+ C

Option 3)

\frac{\tan ^{3}x}{3} + C

Option 4)

\frac{\tan ^{3}x}{3} +\tan x+ C

Posted by

Plabita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2026 Registration LIVE: NTA application open soon on jeemain.nta.nic.in; exam from January 21
anam-khan

JEE Main 2026: Minimum marks to secure top 1000 rank in JEE Advanced; rank vs score trend over 5 years
anam-khan

JEE Main 2026 Aadhaar Authentication: How to fix name mismatch during registration?

Latest Question