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9.02 Integration involving logarithmic functions

Interactive practice questions

The derivative of $f\left(x\right)$f(x) is $\frac{1}{x}$1x.

Which of the following could be the function? Select all the correct options.

$f\left(x\right)=k\ln x$f(x)=klnx

A

$f\left(x\right)=\ln\left(\left|kx\right|\right)$f(x)=ln(|kx|)

B

$f\left(x\right)=\ln kx$f(x)=lnkx for $k<0$k<0, $x>0$x>0

C

$f\left(x\right)=\ln x$f(x)=lnx

D

$f\left(x\right)=\ln kx$f(x)=lnkx for $k>0$k>0, $x<0$x<0

E
Easy
1min

State the primitive function of $\frac{6}{x}$6x.

Use $C$C as the constant of integration.

Easy
< 1min

Determine $\int\frac{4}{x}dx$4xdx.

Use $C$C as the constant of integration.

Easy
< 1min

Determine $\int\frac{-7}{x}dx$7xdx.

Use $C$C as the constant of integration.

Easy
< 1min
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Outcomes

MA12-3

applies calculus techniques to model and solve problems

MA12-7

applies the concepts and techniques of indefinite and definite integrals in the solution of problems

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