New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2004 · Shift 0 · Q76

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2004 · Shift 0 · Q76

Definite Integration question

2004 · Shift 0 · Q76

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

I = \int\limits_0^{\pi /2} {{{{{\left( {\sin x + \cos x} \right)}^2}} \over {\sqrt {1 + \sin 2x} }}dx}

is

A
$3$
B
$1$
C
$2$
D
$0$

More from Definite Integration

The value of $- 2 \int 3 1 - x^{2} d x$ is2004 · MCQ
If $0 \int π x f (sin x) d x = A 0 \int π /2 f (sin x) d x,$ then $A$ is2004 · MCQ
If $f (x) = \frac{e ^{x}}{1 + e ^{x}}, I_{1} = f (- a) \int f (a) xg {x (1 - x)} d x$ and $I_{2} = f (- a) \int f (a) g {x (1 - x)} d x,$ …2004 · MCQ
If $f (y) = e^{y}, g (y) = y; y > 0$ and $F (t) = 0 \int t f (t - y) g (y) d y,$ then :2003 · MCQ
The value of $x \to 0 lim \frac{0 \int x ^{2} s e c ^{2} t d t}{x s in x}$ is2003 · MCQ
Let $f (x)$ be a function satisfying $f^{'} (x) = f (x)$ with $f (0) = 1$ and $g (x)$ be a function that satisfies $f (x) + g (x) = x^{2}$ . Then the value of the integral $0 \int 1 f (x) g (x) d x,$ …2003 · MCQ
If $f (a + b - x) = f (x)$ then $a \int b x f (x) d x$ is equal to2003 · MCQ
The value of the integral $I = 0 \int 1 x (1 - x)^{n} d x$ is2003 · MCQ