Looking for a Tutor Near You?

Post Learning Requirement »
x

Choose Country Code

x

Direction

x

Ask a Question

x

x
x
For better view click here
x
Hire a Tutor
DISCOVER

Indefinite Integration(IIT-JEE)

Loading...

Published in: IIT JEE Mains
3,261 Views

Dear Students, Solve every problem without taking the help of solution. At the end you can see the solutions to improve yourself.

Rakesh K / Delhi

7 years of teaching experience

Qualification: B.Tech/B.E. (Galgotias College of Engineering & Technology (GCET), Greater Noida - 2013)

Teaches: Business Mathematics, Computer Science, IT & Computer Subjects, Mathematics, Physics, KVPY Exam, PSU Exam, AIEEE, BITSAT, GATE Exam, IIT JAM, IIT JEE Advanced, IIT JEE Mains, Computer, Electronics And Communication, C / C++

Contact this Tutor
  1. 1 = f (x) g (x). then g (x) can be 1 x C Differentiating on both sides w. r. to x, we get g(x) = 2. C 2. (x2 +cos2 x) . cos ecx.dx 2 (1 +x2 —sin2 x) . cos ec2 x.dx 2 cos ec2 x.dx — cot x — tan—I x + c tan- x (1 + x + d (cot-Ix) is equal to 3. Je (A) - etan x (C) — X. etan x 3. 4. (A) Sln 4. + cos2 x . cosec x dx is equal to 2 (A) cot x + tan-Ix + c (C) — cot x — tan-Ix + c (B) cot x — tan-Ix + c (D) tan-Ix — cot x + c tan x (D) X. etan x C tan x Let I = fe 1 dx 2 tan tan tan- x Xdx Xdx tan x dx 2 tan x dx 2 tan- x tan- x xe x x.e x (ax2 -b)dx is c2x2 —(ax2 + ax + b/ x C ax + b/ x (C) cos c ax (B) sin ax (D) cos +b/x2 c +b/x2 c
  2. The value of (??2 ? ?? Let = dx = b)dx ?? +?/? 1 ?2?) dx 2n ? ??? 1 is 1 1 = sin-1 (?) 1 ? 2n ? (1 - ?2?) dx (0) 1-?? ? 1— ?2? ??? 1 2? 1/2 (1 -??) 1-?2? = dx = (1 ??) 1—?2? (1 ? cot ? cos ??? The value of dx is equal to (? + cot (xsinx + cosx) (?) (? + cot ?) (xtanx + 1) (?) ???? of these ? cot ? cos ??? dx = (? + cot Let ? sin ? + cos ? = t ? cos ? dx = dt ? cot ? cos ??? ??? ?(? tanx +1) xcosx dx (xsinx + cos dt The value of (?) ? (3?28 84 — (3?21 80 (3?21 + 7 ? (xsinx+ cosx) (3?21 4-7 ? + 7?12 +21?4 + 7?9 +21? 1/3 +21? 20 + 21?3 ? 20 + ? 8 + ? put 3?21 + 7?9 + 21?3 = t 63[?20 + + x2]dx = dt 4/3 l2 - t3dt 63 4 63 —(??21 84 — (3?20 + 7?8 + 21? 21 (?) None of these 4/3 + 21?3
  3. 84 The value of Isinxlog cot— dx = (C) cos x log cot — cos x log tan— x is log sin — + log — log sin— log sec cos ec cot I f cosx dx = sin x log cot— + log tan— + c sin x log cot— +cosxlog tan cosx)dx sinxlog cot— cosxlog cot— cosxlog cot— 2 cosxlog cot— 2 cosxlog cot— 2 cosxlog cot— The value of cos sin cos x log cot — 2 dx 72 J cos x sin fcot—dx 2 210g sin— 2 72 J cos—sin f tan—dx 210g sec— log sin— +log sea +c sinx sin log tan x x sin x + + log tan 2 12 x X dx is 12 log tan —+— + log tan 2 12 2 logcot —+— 2 12 (D) None of these (where c is the integration constant) sinx sin 2 sin x cosit/6 sin x sin x dx sin x +
  4. sin +Sin x 1 6 6 dx sin x sin x + 6 6 1 cosec x + cos 6 1 log tan + log tan 2 12 6 2 12 10. 10. 11. 11. 12. where c is the integration constant. 1 The value of dx is x 2 2+3x 2 1 x where c is integration costant 1 dx 1 dx Let x - -JfüTdt = 1 x 1/3 3 3 x -1/3 2 2 2+3x cos ec2x - 2005 dx is equal to 2005 cos x cot x 2005 (cos x) (tan x) (C) 2005 (cos x) cos ec2x - 2005 dx - 2005 cos x -2005 (cos x) • cot x) 4 x x 2 2+3x (D) None of these tan x (B) 2005 (cos x) (D) none of these - f(cosx) -2005 cos ec f (-2005) (cosx) -2006 is - 20051 2005 x sin x)(—cot x) dx — 20051 2005 x cot x 2005 (cos x) (ax2 b)dx x
  5. ax + b/ x (A) Sin I c ax + b/ x ax (B) Sin I ax (D) COS I 12. dx= Sin-I 13. 13. 14. 14. 15. 15. 16. (C) COS I (ax2 x c2x2 c b)dx 1 b 5 +b/x2 c +b/x2 c b 1 + (sin d (sin 1 + (sin 1 (sin)2/3 1 a 2 c x 2 ax + b/ x 1 c is equal to 1 1 (B) —tan x c -l (sin)2/3 1 1 tan B dx (A) sec I + c -1 (C) —sec c (sin)l/3 é(sin is equal to cos5x + cos 4x dx is equal to 1-2cos3x (A) — sin 2x — sin x + c sin 2x (D) none of these (B) 2 sec I + c (D) none of these sin2x (B) sinx+c 2 (D) none of these (C) + sin x + c 2 cos5x + cos 4x dx 1-2cos3x 9x (cos 5x + cos 4x) sin3x dx sin3x — sin6x 2cos cos sin3x 2 2 dx 9x 3x 2cos sin 2 2 sin 2x sinx+c. 2 COS x + xsinx dx is equal to x(x + cos x) (cos 2x + cos x)dx
  6. ? (?) log ? + cosx xsinx (?) log ? + cos ? 6 ? + cosx (?) log ? (?) ???? of these cosx+xsinx ? + cosx—X+ xsinx dx ?(? + cos ?) 1—sinx dx ?(? + cos ?) ? dx = log ? + cosx ? + cos ?

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Related Study Notes

Upload Study Notes

If you have your own Study Notes which you think can benefit others, please upload on LearnPick. For each approved Study Note you will get 100 Credit Points and 100 Activity Score which will increase your profile visibility.

Upload Now
Home > Study Notes > Indefinite Integration(IIT-JEE)