New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2021 · 26 Feb · Shift 1 · Q26

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 26 Feb · Shift 1 · Q26

Definite Integration question

2021 · 26 Feb · Shift 1 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x}}}} dx

is :

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

More from Definite Integration

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
If $I_{m, n} = 0 \int 1 x^{m - 1} (1 - x)^{n - 1} d x$ , for m, $n \geq 1$ , and $0 \int 1 \frac{x ^{m - 1} + x ^{n - 1}}{( 1 + x ) ^{m + 1}} d x = α I_{m, n} α \in R$ , then $α$ equals …2021 · Numerical
$6 \int 16 \frac{l o g _{e} x ^{2}}{l o g _{e} x ^{2} + l o g _{e} ( x ^{2} - 44 x + 484 )} d x$ is equal to :2021 · MCQ
The value of the integral $0 \int 1 \frac{x d x}{( 1 + x ) ( 1 + 3 x ) ( 3 + x )}$ is :2021 · MCQ
The value of the definite integral $- \frac{π}{4} \int \frac{π}{4} \frac{d x}{( 1 + e ^{x c o s x} ) ( s i n ^{4} x + c o s ^{4} x )}$ is equal to :2021 · MCQ