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Special Integration Type - 1
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This lesson explains a special type 1 of integral

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE | 6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

U
thank u mam
Ankita Podder
a year ago
Thank you. Please do rate review and recommend the course.
Pk
Sir please make videos on advance problems and solutions
Sir algebraic twins
In case II, if both the m and n are odd natural numbers taab kisko kya put karna hoga ?
this course is something new.
If I am not wrong then my answer of the 1st question is coming....x/4–sin4x/16+sin³2x/24+C...... kyunki 1st step me bahar 1/8 nhi 1/4 aayega na sir???? Can u plz check that......?
Vineet Loomba
a year ago
nhi u r wrong 1/8 ayega ..simple Trigonometry concept ... sin2x and cos2x ke formulas hain
Sidra Hassan
a year ago
No Sir,......jb 4se x aur ÷ krenge toh numerator wala 4 toh totally use hogya ek 2sin²x.cos²x me jo sin²2x aaya aur ek 2cos²x me toh 2cos²x= (1+cos2x) aayega next step me...... aur denominator me 4 hi rh gya na Sir........
Vineet Loomba
a year ago
4sin^2xcos^2x hoga na ki 2 ..apka formula galat hai
Sidra Hassan
a year ago
yaa......okay I get it thank you sir 👍
1. INDEFINITE INTEGRATION SPECIAL TYPE-1 IIT-IEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITiAN | IIT-JEE MENTOR FoR SURE SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE)

2. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee IIT-JEE Mentor Since 2010 Doubts/Feedback in Comment Section * Comment other topics you want to revise. Follow me @ https://unacademy.com/user/vineetloomba to get updates or search me on Google * Share among your peers as SHARING is CARING!!

3. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Integration of type sin"X.cos"xdx Case I If m and n are even natural number then converts higher power into higher angles. Case II If at least m or n is odd natural number then if m is odd put cosx = t and vice-versa. Case III when m + n is a negative even integer then put tan x = t. MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

4. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example sin X COS X dx Solution. in2x (1cos 2x )dx sin 2x dx + sin2x cos 2x dx 1 sin3 2x 1(1-cos 4x ) dx + = 16 sin 4x sin 2x 16 64 48 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

5. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: Solution. put -sinx dx = dt 22 4 (1-t). t. dt -- (t8 -2t6 +t4) dt 7 cos x cos x cos X + c Ans MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

6. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) (sinx)1's cosx)7'5 dk j(sin x)1/3(cosx)-7,3dx , a Example 1/3 Solution. | (tan x)1/3 = cos2x X put tanx=t 4 Ans. MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

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