find the area bounded by y=x^2,the x axis and the lines x=-1 and x=1?
Answer (1)
22nd Jan, 2021
Dear student,
For finding area of any curve you must know the integration.
Because the integration gives the area under curve.
So, this is a upward parabola passing through origin or having vertex at origin.
Now we are told to calculate the area from x= -1 to x = 1.
So, it will be a definite integration.
So, integration ( from x = -1 to x = 1) of x^2 dx = x^3 /3 and limit will be from -1 to 1.
So, the answer will be :-
1/3 - (-1/3) = 2/3.
So, area enclosed by curve y = x^2, the x axis and the lines x= -1 and x = 1 is :-
2/3
For finding area of any curve you must know the integration.
Because the integration gives the area under curve.
So, this is a upward parabola passing through origin or having vertex at origin.
Now we are told to calculate the area from x= -1 to x = 1.
So, it will be a definite integration.
So, integration ( from x = -1 to x = 1) of x^2 dx = x^3 /3 and limit will be from -1 to 1.
So, the answer will be :-
1/3 - (-1/3) = 2/3.
So, area enclosed by curve y = x^2, the x axis and the lines x= -1 and x = 1 is :-
2/3
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