CLEP Calculus offers students the opportunity to demonstrate their understanding of calculus concepts and applications, enabling them to earn college credit.
Integrals let us add up infinitely many tiny pieces to find totals—like the total area under a curve, or the total distance traveled.
\[ \int_{a}^{b} f(x) , dx \]
This connects derivatives and integrals, showing they’re opposites. If \( F'(x) = f(x) \), then:
\[ \int_{a}^{b} f(x) , dx = F(b) - F(a) \]
Integrals measure things like areas, volumes, and total accumulated change.
\[\int_{a}^{b} f(x),dx\]
Finding the area under \( y = x^2 \) between \( x = 0 \) and \( x = 2 \) with \( \int_{0}^{2} x^2 , dx \).
Calculating the total distance a car travels using its velocity function.
Integrals add up tiny pieces to find totals, like area and accumulated change.