Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

\int \tan kx\; dx

  • Option 1)

    K\ln \left | \sec kx \right |+C

  • Option 2)

    \frac{1}{K}\ln \left | \sec kx \right |+C

  • Option 3)

    \sec^{2}kn.K+C

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we learnt 

 

Integral of Trigonometric functions -

 

\int \tan x\: dx= \ln \left | \sec x \right |+C

\int \cot x\: dx= \ln \left | \sin x \right |+C

\int \sec x\: dx= \ln \left | \sec x+\tan x \right |+C

\int cosec \: x\: dx= \ln \left | cosec \: x- \cot x \right |+C

-

 

 Put kx=t

dx=\frac{dt}{k}

\frac{1}{k}\int \tan t\: dt= \frac{1}{k}\ln \sec t+C

 


Option 1)

K\ln \left | \sec kx \right |+C

Option 2)

\frac{1}{K}\ln \left | \sec kx \right |+C

Option 3)

\sec^{2}kn.K+C

Option 4)

none of these

Posted by

Aadil

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 Main 2025: NIT Warangal sees increasing demand for emerging fields; BTech cut-offs
anam-khan

BTech Admissions 2025 LIVE: SITEEE, JEE Mains, AEEE exam dates out; MET, SRMJEE registrations underway
anam-khan

JEE Main 2025: NIT Patna cut-offs for engineering programmes; know closing ranks for BTech admission

Latest Question