Question

Given below are two statements:
Statement (I) : Differentiation and Integration are just opposite of each other.
Statement (II) : Differentiation is the slope of any curve at any point, while integration is the area under that same curve specified between two points.
In light of the above statements, choose the most appropriate answer from the options given below.

• A. Both Statement (I) and Statement (II) are true
• B. Both Statement (I) and Statement (II) are false
• C. Statement (I) is true but Statement (II) is false
• D. Statement (I) is false but Statement (II) is true

Hint:

Keep the basic geometric meanings in mind:
- Derivative (\(dy/dx\)): Gives the instantaneous rate of change (Slope of tangent).
- Definite Integral (\(\int_a^b f(x)dx\)): Accumulates values over an interval (Area under the curve).
They are inverse operations of each other.

Answer 1

The Correct Option is A