408 Higher Engineering Mathematics
2. Find
3
(4x 2 − 9)
dx.
3
2
cosh −1 2x
3
+ c
3. Find
(θ 2 − 9) dθ.
θ
2
(θ 2 − 9) −
9
2
cosh −1 θ
3
+ c
4. Find
(4θ 2 − 25) dθ.
θ
θ 2 −
25
4
−
25
4
cosh −1 2θ
5
+ c
5. Evaluate
2
1
2
(x 2 − 1)
dx.
[ 2 .634]
6. Evaluate
3
2
(t 2 − 4) dt .
[1.429]