Help Videos for MATH 1325 – Calculus for Business & Social Sciences

Lesson 18 Videos: Antiderivatives and the Fundamental Theorem of Calculus

MATH 1325 was formerly named MATH 1314.

Overview: Antiderivatives

Rule 1 and Example 1: The indefinite integral of a constant

Rule 2 and Example 2: The Power Rule

Example 3: Applying the Power Rule — Finding the antiderivative of a square root function

Example 4: Applying the Power Rule — Finding the antiderivative of a rational function

Rule 3 and Example 5: The indefinite integral of a constant multiple of a function

Rule 4 and Example 6: The Sum (Difference) Rule

Example 7: Applying the Sum (Difference) Rule to find an indefinite integral

Overview: Fundamental Theorem of Calculus

Example 8: Finding a definite integral

Example 9: Finding a definite integral

Example 10: Finding the area under the graph of a function and above the x-axis on a given interval