The value of -01log-x- dx is

The explanation for the correct answer.Evaluate the integral.I=∫_0^1log[x] dx0ex0ex=∫_0^1log 0 dx0ex0exlog 0→ ∞The limit does not exist.∴Integration is not po ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

General Solution of a Differential Equation

The value of ...

Question

The value of $\int_{0}^{1} \log [x] d x$ is

$0$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$1$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\log 1$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
None of these

The explanation for the correct answer.
Evaluate the integral.
$I = \int_{0}^{1} \log [x] d x = \int_{0}^{1} \log 0 d x \log 0 \to - \infty$
The limit does not exist.
$∴$ Integration is not possible.
Hence, option D is correct .

Suggest Corrections

Similar questions

Q. If

\int_{0}^{a} f (x) d x = \int_{0}^{a} f (a - x) d x

, then the value of

\int_{0}^{π} x f (sin x) d x =

Q. If

\int_{- 1}^{4} f (x) d x = 4

and

\int_{2}^{4} {3 - f (x)} d x = 7

, then the value of

\int_{- 1}^{2} f (x) d x

Q. The value of

\frac{(5050) \int_{0}^{1} {(1 - x^{50})}^{100} d x}{\int_{0}^{1} {(1 - x^{50})}^{101} d x}

Q. The value of

\int x | x | d x

Q. The value of

(\int x . e^{- x} d x)

is,

Join BYJU'S Learning Program

The value of ∫01log[x]dx is

The correct option is D None of theseThe explanation for the correct answer.Evaluate the integral.I=∫01log[x]dx=∫01log0dxlog0→-∞The limit does not exist.∴Integration is not possible.Hence, option D is correct .

The value of $\int_{0}^{1} \log [x] d x$ is

The correct option is D
None of these

The explanation for the correct answer.
Evaluate the integral.
$I = \int_{0}^{1} \log [x] d x = \int_{0}^{1} \log 0 d x \log 0 \to - \infty$
The limit does not exist.
$∴$ Integration is not possible.
Hence, option D is correct .