The problem and instructions need to be stated, more points taken off if problem and instructions are not stated next time Also, please leave space between problems for my comments. MUST BE TYPED...

Que 1. Find the area between curve:
? = ?? − ? ??? ? = ?
Answer:
Let’s first find out the intersection point for two curves.
? = ?2 − 3 ??? ? = 1
?2 − 3 = 1
? = ±2
So, both curves intersect at points (−2,1) and (2,1).
Therefore, area between two curve is given by:
???? ? = ∫ (?(?)(????? ?????) − ?(?)(????? ?????))
?2
?1
??
? = ∫ ((1) − (?2 − 3))
2
−2
??
? = ∫ (4 − ?2)
2
−2
??
? = [4? −
?3
3
]
−2
2
= (8 −
8
3
) − (−8 +
8
3
)
? =
32
3
Que 2. Find the area between curve:
? = ?2 ??? ? = 3? + 4
Answer:
Let’s first find out the intersection point for two curves.
? = ?2 ??? ? = 3? + 4
?2 = 3? + 4
?2 − 3? − 4 = 0
(? − 4)(? + 1) = 0
? = 4, −1
If ? = 4, then ? = 16 and if ? = −1, then ? = 1.
So, both curves intersect at points (−1,1) and (4,16).
Therefore, area between two curve is given by:
???? ? = ∫ (?(?)(????? ?????) − ?(?)(????? ?????))
?2
?1
??
? = ∫ ((3? + 4) − (?2))
4
−1
??
? = [
3?2
2
+ 4? −
?3
3
]
−1
4

? = (3 ×
42
2
+ 4 × 4 −
43
3
) − (
3
2
− 4 +
1
3
)
? = 18.667 + 2.167 = 20.834
Que. 6 Find the area between curve:
? = ? ??? ? = ?2
Answer:
Let’s first find out the intersection point for two curves.
? =...