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VED1
E L-LOVELY-H math13-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12
fJekJh^13 L nB[ebB dhnK ftXhnK
B'N
c
c
∴ ∫ tan x dx =− log cos x + iK log sec x +
∫
(2) cot x dx = cos x dx
sin x
wzB fbU sin x = t, fBy/VB eoB cos x dx = dt
∫
∴ cot x dx = ∫ dt = log t +c = log sin x +c
t
∫ cot x dx = log sin x +c.
gqPBktbh 13H4
bx{ T[Zsoh gqPB
fBwBfbys dk wkB gsk eo'^
T[Zso
;t?^w[bKeD (Self Assessment)
pj[ftebgh gqPB (Multiple Choice Questions)^
x
5H ∫ sin cos x dx dk wkB j?^
1 1
2
2
(a) sin xc+ (b) cos xc+
2 2
1
2
(c) cosec xc+ (d) fJBQK ftZu'A e'Jh BjhA.
2
2
6H ∫ cot θ .cosec θθ dk wkB j't/rk^
d
3
4
cot θ cot θ
4
(a) +c (b) − +c
4 4
cosec θ
4
(c) +c (d) e'Jh BjhA.
4
LOVELY PROFESSIONAL UNIVERSITY 209
