Solveeit Logo

Question

Question: Area bounded by curve <img src="https://cdn.pureessence.tech/canvas_369.png?top_left_x=280&top_left_...

Area bounded by curve xx -axis between x=1x = 1 and is

A

clog3c \log 3sq. unit

B

2logc2 \log csq. unit

C

2clog22 c \log 2sq. unit

D

2clog52 c \log 5sq. unit

Answer

clog3c \log 3sq. unit

Explanation

Solution

Required area

=14ydx=c141xdx= \int _ { 1 } ^ { 4 } y d x = c \int _ { 1 } ^ { 4 } \frac { 1 } { x } d x= 2clog22 c \log 2 sq. unit.