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Math 12 Chapter 3
Integration
Test - 8
1.
∫(ax + b) /
√
ax
2
+ 2b x + c
dx =………………..
a) ½
√
ax
2
+ 2b x + c
b)
√
ax
2
+ 2b x + c + d
c) ln
√
ax
2
+ 2b x + c
d) ½ ln
√
ax
2
+ 2b x + c + d
2.
∫ Cos hkx dx = ………………….
a) Sin hkx + c
b) - Sin hkx + c
c) Sin hkx / hk
d) Sin hkx / k+ c
3.
∫Sin hkx dx =…………………
a) Cos hkx + c
b) - Cos hkx + c
c) Cos hkx / hk
d) Cos hkx / k + c
4.
∫1/x dx =………………………….
a) lnx + c
b) - 1/x + c
c) - 1/x
2
+ c
d) None
5.
∫k.dx =…………………………..
a) k + c
b) kx + c
c) Zero
d) k
6.
∫dx / (x lnx) =…………………..
a) 1/x + c
b) 1 / lnx + c
c) ln (lnx) + c
d) lnx + c
7.
∫e
Sinx
. Cosx dx =…………….
a) e
Cosx
+ c
b) e
Sinx
+ c
c) e
Cosx
+ c / Sin x
d) e
Sinx
+ c / Cosx
8.
∫
√
e
x
x dx =………………………….
a)
√
e
x
+ c
b) e
x
+ c
c) ½
√
e
x
+ c
d) 2
√
e
x
+ c
9.
∫ dx / (x
2
– a
2
) =…………………………
a) ½ a. ln (x + a / x –a ) + c
b) -1/2a.ln (x – a / x + a) + c
c) 1/2a. ln (x – a / x + a) + c
d) + 1/2a ln (a – x / a + x) + c
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