Question
Mathematics Question on Binomial theorem
Find the area of the curve y=4x3 between the end points x=[−2,3]
A
(A) 97
B
(B) 65
C
(C) 70
D
(D) 77
Answer
(A) 97
Explanation
Solution
Explanation:
Let f(x)=y=4x3Given the end points are: x1=−2,x2=3Therefore, Area of the curve (A)=|∫−234x3dx|⇒A=|∫−204x3 dx|+|∫034x3dx|⇒A=|4[x44]−20|+|4[x44]03|⇒A=|[0−24]|+|[34−0]|⇒A=|−16|+|81|⇒A=97Hence, the correct option is (A).