Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation and integration are two fundamental concepts in calculus.
• Differentiation is the process of finding the derivative of a function.
• Integration, on the other hand, is the process of finding the antiderivative of a function.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation gives us the rate of change of a function at a particular point.
• Integration gives us the total change of a function over an interval.
• Differentiation is denoted by the symbol “d” or “∂”.
• Integration is denoted by the symbol “∫”.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is the reverse process of integration.
• The derivative of a function gives us information about its rate of change.
• The antiderivative of a function gives us information about the function itself.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is used to find the slope of a tangent line to a curve.
• Integration is used to find the area under a curve.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is used to solve problems involving rates and slopes.
• Integration is used to solve problems involving area and accumulation.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is an operation that reduces the degree of a polynomial by 1.
• Integration is an operation that increases the degree of a polynomial by 1.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is used to find critical points, local maxima, and minima of a function.
• Integration is used to find the total change or net change of a quantity.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation gives us information about the instantaneous rate of change of a function.
• Integration gives us information about the total change of a function.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is a process that involves taking limits.
• Integration is a process that involves finding antiderivatives.

Indefinite Integral - Comparison of Differentiation and Integration

• Differentiation is used to find the velocity and acceleration of a moving object.
• Integration is used to find the displacement and distance traveled by a moving object. "