Similarly, the indefinite integral of
a function represents geometrically, a family of curves placed parallel to each
other having parallel tangents at the points of intersection of the curves of the
family with the lines orthogonal (perpendicular) to the axis representing the variable
of integration 8 The derivative is used for finding some physical quantities like the velocity of a
moving particle, when the distance traversed at any time t is known Similarly,
the integral is used in calculating the distance traversed when the velocity at time
t is known