en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of (23)/(4x-1)

Solution

\int_{0}^{1} \frac{23}{4 x - 1} d x

Solution

diverges

Solution steps

\int_{0}^{1} \frac{23}{4 x - 1} d x

Find undefined (singularity) points:

x = \frac{1}{4}

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{0}^{\frac{1}{4}} \frac{23}{4 x - 1} d x + \int_{\frac{1}{4}}^{1} \frac{23}{4 x - 1} d x

\int_{0}^{\frac{1}{4}} \frac{23}{4 x - 1} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

Popular Examples

implicit (dy)/(dx),y^5=x^3 implicit derivative

\frac{d y}{d x}, y^{5} = x^{3}

integral of 5sec^2(1+5x)

\int 5 sec^{2} (1 + 5 x) d x

1/(x^8)(dy)/(dx)=12+15y

\frac{1}{x ^{8}} \frac{d y}{d x} = 12 + 15 y

derivative of 5/(ln(x))derivative of

\frac{5}{ln ( x )}

derivative of 1/(x-2-3)

\frac{d}{d x} (\frac{1}{x - 2} - 3)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (23)/(4x-1) ?
The integral from 0 to 1 of (23)/(4x-1) is diverges