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9) sifat
1) integral fungsi genap :
(batas -a s.d a) ∫ f(x) dx = 2 . (batas 0 s.d a) ∫ f(x) dx

2) integral fungsi ganjil
(batas -a s.d a) ∫ f(x) dx = 0

(batas -4 s.d 4) ∫ f(x) (sin x + 1) dx = 8
(batas -4 s.d 4) ∫ f(x) sin x dx + (batas -4 s.d 4) ∫f(x) dx = 8
0 + 2 (batas 0 s.d 4) ∫ f(x) dx = 8
(batas 0 s.d 4) ∫ f(x) dx = 8/2
(batas 0 s.d 4) ∫ f(x) dx = 4

(batas -2 s.d 4) ∫ f(x) dx = 4
(batas -2 s.d 0) ∫ f(x) dx + (batas 0 s.d 4) ∫ f(x) dx = 4
(batas -2 s.d 0) ∫ f(x) dx + 4 = 4
(batas -2 s.d 0) ∫ f(x) dx = 4 - 4
(batas -2 s.d 0) ∫ f(x) dx = 0

10) Lim (4x + 3x cos 2x)/(sin x cos x)
x=>0

Lim x(4 + 3 cos 2x) / (sin x cos x)
x=>0

Lim x/(sin x) . (4 + 3 cos 2x)/(cos x)
x=>0

= 1 . (4 + 3 cos 2(0)) / (cos 0)
= 1 . (4 + 3 . 1)/1
= 7

11) Lim x(sec (1/√x) - 1)
x => ~

Lim (√x)^2 (1/(cos 1/√x) - 1)
x=>~

Lim (√x)^2 (1 - cos 1/√x)/(cos 1/√x)
x=>~

Lim 1 / (1/(√x)^2) . (2 sin^2 1/2 . 1/√x) / (cos 1/√x)
x=>~

Lim 2/(cos 1/√x) . (sin 1/2.1/√x) / (1/√x) . (sin 1/2.1/√x) / (1/√x)
x=>~

= 2/(cos 1/√~) . (1/2) . (1/2)
= 2/(cos 0) . 1/4
= 2/1 . 1/4
= 2/4
= 1/2