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  3. Chapter 6: Areas and integrals
  4. Antidifferentiation
  5. Exercise 2

Exercise 2

Determine the value of the integral $\int_1^e \frac{6}{x}dx$.
$6$
$1$
$5$
$e-1$
Determine the value of the integral $\int_1^e \frac{6}{x}dx$.
Antwoord 1 correct
Correct
Antwoord 2 optie
$1$
Antwoord 2 correct
Fout
Antwoord 3 optie
$5$
Antwoord 3 correct
Fout
Antwoord 4 optie
$e-1$
Antwoord 4 correct
Fout
Antwoord 1 optie
$6$
Antwoord 1 feedback
Correct: $\int_1^e \frac{6}{x}dx=[6\ln x]_{x=1}^{x=e}=6\ln e-6\ln 1=6$.

Go on.
Antwoord 2 feedback
Wrong: Do not forget the term $6$.

Try again.
Antwoord 3 feedback
Wrong: Note that $\ln 1=0$.

See Logarithmic functions.
Antwoord 4 feedback
Wrong: $6x$ is not an antiderivative of $\frac{6}{x}$.

See Antidifferentiation.