The integration of `y` from `x_o` to `4x_0,` along straight line shown in diagram

The velcocity displacement graph of a particle moving along a straight line is shown in figure. The velocity as function of x(0lexle1) is

The velcocity displacement graph of a particle moving along a straight line is shown in figure. The velocity as function of x(0lexle1) is

A charge +q is placed at the origin of X-Y axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line AB is

A charge +q is placed at the origin O of X- Y axes as shown in the figure . The work done in taking a charge Q from A to B along the straight line AB is

Using integration find the area bounded by the parabola 'y^2=4x' straight lines 'x=1', 'x=4' in the first quadrant.

(i) Using definite integral find the area of the triangle bounded by the straight lines x =0,y=4x and 2x+ y =6 (ii) Using definite integral find the area of the triangle bounded by the straight lines x =0 ,y=x and 2y+x=6