Area bounded by the curve y = 2x and y = 2x – x2, x = 0, x =... | MATH - AREA BOUNDED BY REGION, VOLUME AND SURFACE AREA OF SOLIDS OF REVOLUTION | SolveeIt | Solveeit

Today, August 18

Question

Area bounded by the curve y = 2^x and y = 2x – x², x = 0, x = 2 is

A

$\frac { 3 } { \log 2 }$ – $\frac { 4 } { 3 }$

B

$\frac { 3 } { \log 2 }$ + $\frac { 4 } { 3 }$

C

3 log 2 + $\frac { 4 } { 3 }$

D

3 log 2 – $\frac { 4 } { 3 }$

Answer

$\frac { 3 } { \log 2 }$ – $\frac { 4 } { 3 }$

Explanation

Solution

Required area = dx