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Suppose two curves u(x) and v(x) meet at...

Suppose two curves `u(x) and v(x)` meet at points with abscissae `x_(1) and x_(2)`. Then the area enclosed between the curves is `int_(x_(1))^(x_(2))(f(x)-v(x))dx or int_(x_(1))^(x_(2))(v(x)-u(x))dx` according as `u(x) gt v(x)` or `u(x) lt v(x) AA x in [x_(1), x_(2)]`.
Let `t(x)=u(x)-u(x)` where `u(x)=sin^(6)2pix and v(x)=lnx`.
Now answer then following questions:
If the area bounded by `y=u(x)and y=|v(x)|` consists of p different parts then p equals

A

6

B

4

C

8

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
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