Question

Find of the region bounded by the curve y = x2, the x-axis and the lines x = 1 and x = 3.​

Answer 1

Area bounded by a curve with x axis is given by

∫ y dx for limits set by x

In this case x=1 is one limit and other limit set by y=3 which for y=x^2 is x=+/- √3,

Area limits are x= -√3 and x=1 as + √3 >1

∫ y dx= ∫ x^2 dx= x^3/3

At x=1…………..I=1/3

At x =-√3……...I=-√3

Evaluating I=1/3- -√3

Area is 1/3+√3= 1.3333+1.7321=3.0654

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Answer 2

Answer:

heya

Step-by-step explanation:

integrate 1st

x^3/3

Then put limits of x

3^3/3-1^3/3

9-1/3

26/3