New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2011 · Shift 0 · Q40

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2011 · Shift 0 · Q40

Definite Integration question

2011 · Shift 0 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_0^1 {{{8\log \left( {1 + x} \right)} \over {1 + {x^2}}}} dx

is

A
${\pi \over 8}\log 2$
B
${\pi \over 2}\log 2$
C
$\log 2$
D
$\pi \log 2$

More from Definite Integration

Let $p (x)$ be a function defined on $R$ such that $p^{'} (x) = p^{'} (1 - x),$ for all $x \in [0, 1], p (0) = 1$ and $p (1) = 41.$ Then $0 \int 1 p (x) d x$ equals :2010 · MCQ
$0 \int π [cot x] d x,$ where $[.]$ denotes the greatest integer function, is equal to:2009 · MCQ
Let $I = 0 \int 1 \frac{s i n x}{x} d x$ and $J = 0 \int 1 \frac{c o s x}{x} d x .$ Then which one of the following is true?2007 · MCQ
The solution for $x$ of the equation $2 \int x \frac{d t}{t t ^{2} - 1} = \frac{π}{2}$ is2007 · MCQ
Let $F (x) = f (x) + f (\frac{1}{x}),$ where $f (x) = l \int x \frac{l o g t}{1 + t} d t,$ Then $F (e)$ equals2007 · MCQ
The value of $1 \int a [x] f^{'} (x) d x, a > 1$ where $[x]$ denotes the greatest integer not exceeding $x$ is2006 · MCQ
$0 \int π x f (sin x) d x$ is equal to2006 · MCQ
$- \frac{3 π}{2} \int - \frac{π}{2} [(x + π)^{3} + cos^{2} (x + 3 π)] d x$ is equal to2006 · MCQ