Lesson: Integration of Logarithmic Functions

In this lesson, we will learn how to evaluate both definite and indefinite integrals for logarithmic functions.

Sample Question Videos

  • 04:15

Worksheet: Integration of Logarithmic Functions • 15 Questions • 1 Video

Q1:

Determine 𝑥 + 7 𝑥 + 2 1 𝑥 − 5 𝑥 2 3 d .

Q2:

Determine 8 𝑒 𝑥 + 𝑒 5 𝑒 𝑥 𝑥 2 𝑥 𝑥 𝑥 d .

Q3:

Determine − 1 6 1 0 𝑥 𝑥 𝑥 l n d by using the substitution method.

Q4:

Using the substitution method, determine ( − 1 0 𝑥 ) 𝑥 𝑥 l n d 9 .

Q5:

Determine 5 𝑒 𝑥 + 5 𝑥 6 𝑥 4 2 l n d .

Q6:

Determine 3 7 𝑥 𝑥 𝑥 l n d .

Q7:

Determine ( 9 𝑥 ) 7 𝑥 𝑥 l o g d 2 .

Q8:

Determine 5 4 𝑥 𝑥 l n d .

Q9:

Determine 3 √ 𝑥 + 7 9 √ 𝑥 𝑥 2 d .

Q10:

Determine 7 4 𝑥 − 6 𝑒 𝑥 − 2 𝑥 d .

Q11:

Determine 𝑥 − 1 6 3 𝑥 − 1 2 𝑥 𝑥 2 2 d .

Q12:

Find the average value of 𝑓 ( 𝑥 ) = − 1 5 𝑥 on the interval [ − 5 , − 1 ] .

Q13:

Determine − 9 𝑥 5 𝑥 𝑥 l n l n d 8 .

Q14:

Determine 5 4 𝑥 𝑥 𝑥 l n d by using the substitution method.

Q15:

Determine 𝑒 𝑥 + 7 𝑥 4 𝑥 2 2 l n d .
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