What is the integral from 1 to 6x of 7/t ?

The integral from 1 to 6x of 7/t is 7ln(6|x|)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 6x of 7/t

\int_{1}^{6 x} \frac{7}{t} d t

7 ln (6 ∣ x ∣)

Solution steps

\int_{1}^{6 x} \frac{7}{t} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int_{1}^{6 x} \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= 7 [ln ∣ t ∣]_{1}^{6 x}

Compute the boundaries:

ln (6 ∣ x ∣)

= 7 ln (6 ∣ x ∣)

\int cot^{5} (x) d x

\frac{d y}{d x}, x y = x + y

\frac{d}{d x} (\frac{x + 4}{x})

\int \frac{1}{( R ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (\frac{x ^{3} + i x ^{2} + x + 1}{x ^{2} + i})

What is the integral from 1 to 6x of 7/t ?
The integral from 1 to 6x of 7/t is 7ln(6|x|)