Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

how is the integral of sec x = log tan (x/2+pi/4)?

Asked by Saisri Akondi | 26 Apr, 2014, 12:21: AM
answered-by-expert Expert Answer
I equals integral s e c x space d x l e t space t equals s e c x rightwards double arrow d t equals tan squared x space d x I equals integral fraction numerator t over denominator tan squared x end fraction d t equals integral fraction numerator t over denominator t squared minus 1 end fraction d t equals integral open square brackets fraction numerator 1 over denominator 2 open parentheses t minus 1 close parentheses end fraction minus fraction numerator 1 over denominator 2 open parentheses t plus 1 close parentheses end fraction close square brackets d t equals 1 half open square brackets ln open parentheses t minus 1 close parentheses minus ln open parentheses t plus 1 close parentheses close square brackets plus c equals 1 half ln open square brackets fraction numerator t minus 1 over denominator t plus 1 end fraction close square brackets plus c equals 1 half l straight n open square brackets fraction numerator s e c minus 1 over denominator s e c plus 1 end fraction close square brackets plus c w h i c h space c a n space b e space e a s i l y space c o n v e r t e d space i n t o equals ln tan open parentheses x over 2 plus straight pi over 2 close parentheses
Answered by | 26 Apr, 2014, 11:40: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
evaluate integration of log(sinx) dx
Asked by jprathamesh023 | 23 Mar, 2024, 04:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
∫(cot√x + tan√x)dx
Asked by atulmishra514 | 26 Jan, 2024, 10:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
evaluate
question image
Asked by aalavarshitha2005 | 21 Jan, 2024, 05:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
yuu
question image
Asked by arunbc1972 | 11 Jan, 2024, 07:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Integration of
question image
Asked by atharvaparkar04 | 17 Dec, 2023, 12:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
integrate 1/cotx-sinx
Asked by shashinayaka032 | 05 Dec, 2023, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
maths que tell
question image
Asked by manyarajawat1 | 06 Nov, 2023, 05:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
intergal dx/3+2x+x²
Asked by ps9680677 | 26 Oct, 2023, 11:47: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
integrate under root a^2 - x^2 dx =
Asked by manasvichandel49 | 19 Oct, 2023, 08:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
t
question image
Asked by tanuspatel5 | 08 Oct, 2023, 01:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×