Antiderivatives: Introductory Rules
Learning Objectives
- General Antiderivatives
- Specific Antiderivatives
- Applications
Exercises
1.
\[H(x) = 7 \ln |x| + \dfrac{2}{5} x +C\]
2.
\[\displaystyle \int \left(e^x-13x^{-2.4}\right) \ dx = e^{x} + \dfrac{13}{1.4} x^{-1.4} + C\]
3.
\[\displaystyle \int \frac{7^x\sqrt[3]{x}+x^{-\frac{2}{3}}}{x^\frac{1}{3}} \ dx=\dfrac{1}{\ln (7)} 7^{x} + \ln|x| +C\]
4.
\(f(x) = 2x^4 - 4x^3 + 13x + 25\)
5.
It costs \(\$89\) to make \(40\) beignets each day.