Find the Integral $\int x \tan ^{2} 3 x d x$

question 43

Multiple Choice

Find the integral. $\int x \tan ^{2} 3 x d x$

• A) \(\frac{1}{3} x^{2} \tan 3 x+\frac{1}{9} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C\)
• B) \(\frac{1}{2} x^{2} \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C\)
• C) \(\frac{1}{2} x \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C\)
• D) \(\frac{1}{3} x \tan 3 x+\frac{1}{9} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C\)

---

Definitions:

Expected Return

The anticipated profit or loss from an investment based on its potential risks and rewards.

SML

The Security Market Line (SML) represents the relationship between the expected return of a market security and its risk, measured by beta, within the Capital Asset Pricing Model (CAPM).

Market Portfolio

A theoretical bundle of investments that includes every type of asset available in the market, with each asset weighted by its total market capitalization.

Capital Asset Pricing Model (CAPM)

Equation of the Security Market Line showing the relationship between expected return and beta.