Answer:
a.
b.
c.
d.
Step-by-step explanation:
P.S - The exact question is -
a.
y = 3x
Shape of the given integral = A Triangle
Area of Triangle = = ×1×3 =
The graph of integral is as follows :
b.
x =
⇒x² = 15 - y²
⇒x² + y² = 15
⇒x² + y² = (√15)²
Shape of the integral = Quarter circle of radius √15
Area of Quarter circle = = ××r² = ××(√15)² =
The graph of the following integral is as follows :
c.
y =
⇒y² = 81 - x²
⇒y² + x² = 81
⇒y² + x² = 9²
Shape of the integral = Semi circle of radius 9
Area of semi circle = = ××r² = ××9² =
The graph of the following integral is as follows :
d.
x = 5 -
⇒ = 5 - x
⇒y = 35 - 7x
At y = 0 , x = 5
At y = 7 , x = 4
Shape of the integral = A triangle
Area of Triangle = ×(5-4)×7 = ×(1)×7 =
The graph of the integral is as follows :