Home
Class 11
PHYSICS
Find the area bounded under the curve y=...

Find the area bounded under the curve `y=3x^2+6x+7` X-axis with the cooridinates at x=5 and x=10.

Text Solution

Verified by Experts

The correct Answer is:
1135sq. units

Given, `y=3x^2+6x+7` Area bounded by the curve x axis with coordiN/Ate x=5 and x=10` is given by Area =int^(x_2)_(x_1) y dx , int(^10_5(3^2+6x+7)dx, =[(3x^3)/3+(6x^2)/2+7x]^10_5
=1000-125+300-75+70-35
=1370-235
=1135sq. units.
Promotional Banner

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=x |x| , X -axis and the ordinates x=-1 and x=1 is given by

Area bounded by the curve y=x^3 the x-axis and the ordinates x=-2 and x=1 is

Find the area of the region bounded by the curves y= 5- x^2 , X - axis and the lines x=2 and x=3.

The area bounded by the curve y = x^(2) , x-axis and the ordinates: x = - 1 and x= 1 is given by

Find the area of the region bounded by the line y= 3x +2 , the x -axis and the ordinates x=-1 and x=1.

Area bounded by the curve v=x, the x-axis and the ordinates x = -2 and x = 1 is

Find the area bounded by the curve x^(2) = 4y and the line x = 4y - 2.

Find the area bounded by the curve y= cos x between x=0 and x=2pi .

Find the area of the region bounded by the curve y= 2 x -x^2 and X- axis.