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Math 12 Chapter 3
Integration
Test - 9
1.
∫dx / (a
2
–x
2
)
a) 1/2a ln (a – x / a + x) + c
b) 1/2a ln (a + x / a – x) + c
c) -1/2a ln (a + x / a – x)
d) None
2.
∫ dx / (x
2
+ a
2
) =………………………….
a) tan
-1
(x/a) + c
b) tan
-1
(a/x) + c
c) 1/a tan
-1
(x/a)
d) None
3.
∫ dx /
√
x
2
+a
2
=………………..
a) 1/a Sin h
-1
x
b) 1/a Sinh
-1
(x/a)
c) Sinh
-1
(x/a) + c
d) Cosh
-1
(x/a) + c
4.
∫ dx /
√
x
2
-a
2
=……………
a) 1/a Cosh
-1
(x/a) + c
b) Cosh
-1
(x/a) + c
c) Cosh
-1
(a/x) + c
d) Sinh
-1
(x/a)
5.
∫ dx /
√
a
2
-x
2
=………………….
a) 1/a Sin
-1
x + c
b) 1/a Sin
-1
(x/a)
c) 1/a Sin
-1
(a/x)
d) Sin
-1
(x/a) + c
6.
∫ ln ax / x dx =……………………..
a) ln ax + c
b) ln ax / a + c
c) (ln ax)
2
/ 2 +c
d) (ln ax)
2
+ c
7.
a
∫
b
1/x dx =………………
a) lna – lnb
b) lnb – lna
c) 1/b – 1/a
d) 1/a – 1/b
8.
Solution of diff: equation. dy / dx = 1 is:
a) x – y = c
b) y / x = c
c) x / y = c
d) x + y = c
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