New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2021 · 25 Jul · Shift 2 · Q30

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 25 Jul · Shift 2 · Q30

Definite Integration question

2021 · 25 Jul · Shift 2 · Q30

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - 1}^1 {\log \left( {x + \sqrt {{x^2} + 1} } \right)dx}

is :

A
2
B
0
C
$-$ 1
D
1

More from Definite Integration

The value of $\frac{- 1}{2} \int \frac{1}{2} ((\frac{x + 1}{x - 1})^{2} + (\frac{x - 1}{x + 1})^{2} - 2)^{\frac{1}{2}} d x$ is :2021 · MCQ
If the value of the integral $0 \int 5 \frac{x + [ x ]}{e ^{x - [x]}} d x = α e^{- 1} + β$ , where $α$ , $β \in$ R, 5 $α$ + 6 $β$ = 0, and [x] denotes the greatest integer less than or equal to x;…2021 · MCQ
The value of $- \frac{π}{2} \int \frac{π}{2} (\frac{1 + s i n ^{2} x}{1 + π ^{s i n x}}) d x$ is2021 · MCQ
The value of $- π /2 \int π /2 \frac{c o s ^{2} x}{1 + 3 ^{x}} d x$ is :2021 · MCQ
The value of $n = 1 \sum 100 n - 1 \int n e^{x - [x]} d x$ , where [ x ] is the greatest integer $\leq$ x, is :2021 · MCQ
The value of the integral $0 \int π ∣ sin 2 x ∣ d x$ is .2021 · Numerical
Let $f (x) = 0 \int x e^{t} f (t) d t + e^{x}$ be a differentiable function for all x $\in$ R. Then f(x) equals :2021 · MCQ
For x > 0, if $f (x) = 1 \int x \frac{l o g _{e} t}{( 1 + t )} d t$ , then $f (e) + f (\frac{1}{e})$ is equal to :2021 · MCQ