SATHEE: Definite Integration Question 295

Definite Integration Question 295

Question: The area of the region bounded by the curves $ y=x^{2} $ and $ y=|x| $ is

[Roorkee 1999]

Options:

A) 1/6

B) 1/3

C) 5/6

D) 5/3

Show Answer

Answer:

Correct Answer: B

Solution:

Required area = 2 (shaded area in first quadrant) = $ 2\int_0^{1}{(x-x^{2})dx=2\times \frac{1}{6}=\frac{1}{3}} $ .

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Definite Integration Question 295

Question: The area of the region bounded by the curves $ y=x^{2} $ and $ y=|x| $ is

Options:

Answer:

Solution:

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