lampiran 2 kalkulus 2
DESCRIPTION
Lampiran untuk kuliah Kalkulus 2 TI Univ. Palangka RayaTRANSCRIPT
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FUNGSI INTEGRAL TRIGONOMETRI
LAMPIRAN 2
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FUNGSI INTEGRAL
Sumber:1. Kholifatunnisa, Galih, dkk. 2009. Fungsi Integral
Trigonometri. Yogyakarta: UIN Sunan Kalijaga.2. Supama, dkk. 2003. Kalkulus 2. Yogyakarta:
FMIPA UGM
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TRIGONOMETRI DASAR
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FUNGSI DASAR INTEGRAL
1. ∫ dx = x + C2.
3. ∫sin x dx = -cos x +C4. ∫cos x dx = sin x + C5. ∫sec2 x dx = tan x + C6. ∫cosec2 x dx = -cotan x +C
∫
∫+=
−≠++
= +
Cxxdx
xuntukCxn
dxx nn
||ln
1_;1
1 1
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FUNGSI DASAR INTEGRAL
7. ∫sec x tan x dx = sec x + C8. ∫cosec x cotan x dx = -cosec x + C9.
10.
∫∫
+=
≠>+=
Cedxe
aaCaadxa
xx
xx 1;0;
ln
∫
+−+
=+ Cx
Cxxdx
arctanarctan
1 2
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FUNGSI DASAR INTEGRAL
11.
12.
13. ∫sinh x dx = cosh x+ C14. ∫cosh x dx = sinh x + C
+−+
=−∫ Cx
Cx
xdx
arccosarcsin
1 2
∫
+−+
=− Cecx
Cxarc
xxdx
arccossec
12
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FUNGSI DASAR INTEGRAL
15.
16.
+−
+=
−∫C
ax
Cax
xadx
arccos
arcsin
22
∫
+−
+=
+ Caxarc
a
Cax
axa
dx
cot1
arctan1
22
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FUNGSI DASAR INTEGRAL
17.
18. ∫ tan x dx = ln |sec x| + C19. ∫ cotan x dx = ln |sin x| + C20. ∫ sec x dx = ln |sec x + tan x| + C21. ∫ cosec x dx = ln |cosec x – cotan x| + C
+−
+=
−∫C
axec
a
Caxarc
aaxx
dx
arccos1
sec1
22