Question

find the area of the region bounded by the curve y^2=x and the lines x=1 ,x=4 and thex-axis​

Answer 1

Step-by-step explanation:

Lines x=1 intersect curve at (1,1) and X=4 intersect at (4,2)

So integrate function from x=1 to x =4

Integral of X^1/2 from X=1 to 4

Is (X^3/2)*2/3 from 1 to 4

$(4 \sqrt{4} - 1) \times 2 \div 3= 7 \times 2 \div 3 = 14 \div 3$

Answer 2

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