GEOMETRIC APPLICATIONS OF INTEGRATION
AREA BOUNDED BY CURVES
ᵗ b
flxldx
b
fX
y
y d
fly dy
C
AREA BETWEEN CURVES
91 1
fx GÜN 91 1 dx
,Us ng Symmetry f flat s even
a
faf xldx
2flxld a fflxl sod .AM
falxldx 0
A zfjflxldxorflflxld .ae
, COMMON GRAPHS
g y X
41 1
Ey r
yas nx
, F nd the area of the reg on bounded by the
2
curve f x 3 the l nes 1 3 and the
X ax s
3
1
47 fpx dx X
1
27 1 11
28
Eff nd the area of the reg on bounded by the
curve fx X L 9 and the x ax s
f rxdx.EE ZF 3 27 2
526
AREA BOUNDED BY CURVES
ᵗ b
flxldx
b
fX
y
y d
fly dy
C
AREA BETWEEN CURVES
91 1
fx GÜN 91 1 dx
,Us ng Symmetry f flat s even
a
faf xldx
2flxld a fflxl sod .AM
falxldx 0
A zfjflxldxorflflxld .ae
, COMMON GRAPHS
g y X
41 1
Ey r
yas nx
, F nd the area of the reg on bounded by the
2
curve f x 3 the l nes 1 3 and the
X ax s
3
1
47 fpx dx X
1
27 1 11
28
Eff nd the area of the reg on bounded by the
curve fx X L 9 and the x ax s
f rxdx.EE ZF 3 27 2
526
