Higher Engineering Mathematics, Sixth Edition

408 Higher Engineering Mathematics

2. Find

∫

3

√

( 4 x^2 − 9 )

dx.

[

3

2

cosh−^1

2 x

3

+c

]

3. Find

∫ √

(θ^2 − 9 )dθ.

[

θ

2

√

(θ^2 − 9 )−

9

2

cosh−^1

θ

3

+c

]

4. Find

∫ √

( 4 θ^2 − 25 )dθ.

[

θ

√(

θ^2 −

25

4

)

−

25

4

cosh−^1

2 θ

5

+c

]

5. Evaluate

∫ 2

1

2

√

(x^2 − 1 )

dx.[2.634]

6. Evaluate

∫ 3

2

√

(t^2 − 4 )dt. [1.429]