418 Higher Engineering Mathematics
4.∫
dθ
3 −4sinθ
⎡
⎢
⎣1
√
7ln⎧
⎪⎨⎪⎩3tanθ
2− 4 −√
73tanθ
2− 4 +√
7⎫
⎪⎬⎪⎭+c⎤
⎥
⎦- Show that
∫
dt
1 +3cost
=
1
2√
2ln⎧
⎪⎨⎪⎩√
2 +tant
2
√
2 −tant
2⎫
⎪⎬⎪⎭+c.- Show that
∫π/ 303dθ
cosθ= 3 .95, correct to 3significant figures.- Show that
∫π/ 2
0dθ
2 +cosθ=π
3√
3.