• GV neu tfnh chat 1 b b jkf (x)dx = k ff (x)dx a a 2 H7.Tfnh jSx^dx. 1 2 H8.Tinh jsinxdx. 1 • GV neu tfnh chdt 2 : b b b J[f(x)± g(x)]dx = Jf(x)dx ± Jg(x)dx.
H9.Tihh J(3x2+lnx)dx.
• Thuc hien J \ 3 trong 5'
Hoat dgng ciia GV Cau hdi 1
Hay chiing minh tfnh chat 1.
Cau hdi 2
Hay chumg minh tfnh chat 2.
Hoat dgng ciia HS Ggi y tra Idi cau hdi 1
Fix) la mdt nguyen ham cua fix) tren
doan [a ; b]. Khi đ, kFix) la mdt nguyen ham ciia k fix) tren doan
[a ; 6]. Ta cd b ^kfix)dx - {kFix)) a b a
= kFib) - kFia) = kiFib) - Fia))
= kFix) ' f = k \fix)dx.
a
Ggi y tra Idi cau hdi 2
^ b
\[fix) + ^(x)] dx = (F(x) + Gix)) ^
CL
= iFib) + Gib)) - iFia) + Gia)) = iFib)-Fia)) + iGib)-Gia))
= Fix) [ I a
b b
= jfix)dx+jgix)dx.
Thuc hien vi du 3 trong 5' GV cd the chgn nhiing vi du khac tuong tụ
Hoat dgng cua GV Cau hdi 1
Tim nguyen ham cua ham sd: 2
y = x .
Cau hdi 2
Tim nguyen ham cua ham sd: y = 3V^
Cau hdi 3
Tfnh tfch phan da chọ
Hoat dgng ciia HS Ggi y tra loi cau hdi 1 (adsbygoogle = window.adsbygoogle || []).push({});
[x^dx^i-x^ ' 3 ' 3
Ggi y tra Idi cau hdi 2
3
f3Vxdx = 2x2.
Ggi y tra Idi cau hoi 3
HS tu tfnh :I = 35. GV thuc neu tfnh chat 3:
b c
|f (x)dx = ff (x)dx + ff (x)dx HIỌ Hay chiing minh tinh chat 3
• Thuc hien vf du 4 trong T. Day la vf du tieu bieu, quan trgng; GV nen hudng đn
va khai quat hda bai toan naỵ
Hoat dgng cua GV Hoat dgng cua HS Cau hdi 1
Chumg minh : Vl-cos2x =|sinx|.
Cau hdi 2
Sir dung tuih chai 3 de chiing minh 27t
Ggi y tra Idi cau hdi 1
HS tu chiing minh.
Ggi y tra Idi cau hdi 2
HS tu pha dáu gia tri tuyet đi va chiing minh. f Vl-cos2xdx = S (n 1% f|sinx|dx+ fisinxidx VO
Cau hdi 3
Tfnh tfch phan da chọ
Ggi y tra Idi cau hdi 3
HS tu tfnh.
H l l . Tfnh f|x|dx.
-1 1 1
H 12. Tfnh f(|x| + 3x)dx