Question:
What is the area bounded by the function f(x) and the x-axis?
What is the area bounded by the function f(x) and the x-axis?
Options:
- a) 1 3 square units
- b) 2 3 square unit
- c) 4 3 square units
- d) 2 square units Direction for Questions (111-112): Consider the following for the two (02) items that follow: Let x = secq – cosq and y = sec4q – cos4q,
- a) 1 3 square units
- b) 2 3 square unit
- c) 4 3 square units
- d) 2 square units Direction for Questions (111-112): Consider the following for the two (02) items that follow: Let x = secq – cosq and y = sec4q – cos4q,
correct answer : c)
Explanation:
Let y = x2 – 1 Þ x2 = y + 1
-1
1-1
Required area = ()xd x2
1
1
1–∫
= x x
3
1
1
3 –
-
= 1
3 1 1
3 1-
— +
= –2
3
2
3
= – 4
3
=
4
3
sq. units
Let y = x2 – 1 Þ x2 = y + 1
-1
1-1
Required area = ()xd x2
1
1
1–∫
= x x
3
1
1
3 –
-
= 1
3 1 1
3 1-
— +
= –2
3
2
3
= – 4
3
=
4
3
sq. units