6.08 Integrals resulting in logarithms

Interactive practice questions

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

State the primitive function of $\frac{1}{7x}$17x.

Use $C$C as the constant of integration.

Easy

< 1min

establish and use the formulas ∫ 1/𝑥 𝑑x=ln𝑥+𝑐 , for 𝑥>0 and ∫ 1/(ax+b) 𝑑x = 1/𝑎 ln(𝑎x+𝑏) + c

determine the integral of a function using information about the derivative of the given function (integration by recognition)