New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2020 · 5 Sep · Shift 1 · Q37

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 5 Sep · Shift 1 · Q37

Definite Integration question

2020 · 5 Sep · Shift 1 · Q37

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx}

is:

A
$\pi$
B
${{3\pi \over 2}}$
C
${{\pi \over 2}}$
D
${{\pi \over 4}}$

More from Definite Integration

$x \to 1 lim \frac{0 \int ( x - 1 ) ^{2} t c o s ( t ^{2} ) d t}{( x - 1 ) s i n ( x - 1 )}$ 2020 · MCQ
If I1 = $0 \int 1 (1 - x^{50})^{100} d x$ and I2 = $0 \int 1 (1 - x^{50})^{101} d x$ such that I2 = $α$ I1 then $α$ equals to :2020 · MCQ
The integral $1 \int 2 e^{x} . x^{x} (2 + lo g_{e} x) d x$ equals :2020 · MCQ
If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then $\frac{1}{a + b} \int_{a}^{b} x (f (x) + f (x + 1)) d x$ is equal to:2020 · MCQ
The value of $α$ for which $4 α - 1 \int 2 e^{- α ∣ x ∣} d x = 5$ , is:2020 · MCQ
If $θ$ 1 and $θ$ 2 be respectively the smallest and the largest values of $θ$ in (0, 2 $π$ ) - { $π$ } which satisfy the equation, 2cot2 $θ$ - $\frac{5}{s i n θ}$ + 4 = 0, then $θ_{1} \int θ_{2} cos^{2} 3 θ d θ$ …2020 · MCQ
$x \to 0 lim \frac{\int _{0}^{x} t s i n ( 10 t ) d t}{x}$ is equal to2020 · MCQ
If $I = 1 \int 2 \frac{d x}{2 x ^{3} - 9 x ^{2} + 12 x + 4}$ , then :2020 · MCQ