Find $\int \frac{1}{5x+3}\, dx$
A$\frac{1}{5}\ln|5x+3| + C$CORRECT
B$5\ln|5x+3| + C$
C$\ln|5x+3| + C$
D$-\frac{1}{5}\ln|5x+3| + C$
GCEFurther MathematicsIntegration2020
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Why the answer is A, and why the others tempt you.
Using the rule ∫1/(ax+b) dx = (1/a)ln|ax+b| + C, with a = 5 and b = 3, the answer is (1/5)ln|5x+3| + C. Option B incorrectly multiplies by 5 instead of dividing, and option C omits the factor 1/5.
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