Indefinite Integration
Integration of Rational Functions
Grade 12
Question:
<p><span>\(\int e^{6\log x - e^5\log x}}{e^{4\log x - e^3\log x}} dx\)</span> is equal to</p>
<p>(a) <span>\(\frac{x}{2} + C\)</span></p>
<p>(b) <span>\(\frac{x^2}{2} + C\)</span></p>
<p>(c) <span>\(\frac{x}{3} + C\)</span></p>
<p>(d) <span>\(\frac{x^4}{2} + C\)</span></p>
Step-by-Step Solution
Key Concept: Use logarithm properties to convert the exponential expression into a polynomial form
<p>Simplify using <span>$e^{\log x} = x$</span> and properties of logarithms.</p>
Correct Answer: B