New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2022 · 26 Jun · Shift 2 · Q45

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 26 Jun · Shift 2 · Q45

Definite Integration question

2022 · 26 Jun · Shift 2 · Q45

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

The integral

{{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Definite Integration

Let $f : R \to R$ be a function defined as $f (x) = a sin (\frac{π [ x ]}{2}) + [2 - x], a \in R$ where $[t]$ is the greatest integer less than or equal to $t$ . If $x \to - 1 lim f (x)$ …2022 · MCQ
Let $I = \int_{π /4}^{π /3} (\frac{8 s i n x - s i n 2 x}{x}) d x$ . Then2022 · MCQ
Let a function $f : R \to R$ be defined as : $f (x) = ⎩ ⎨ ⎧ 0 \int x (5 - ∣ t - 3∣) d t, x^{2} + b x x > 4, x \leq 4$ where $b \in R$ . If $f$ is continuous…2022 · MCQ
Let $f (x) = 2 + ∣ x ∣ - ∣ x - 1∣ + ∣ x + 1∣, x \in R$ . Consider $(S 1) : f^{'} (- \frac{3}{2}) + f^{'} (- \frac{1}{2}) + f^{'} (\frac{1}{2}) + f^{'} (\frac{3}{2}) = 2 (S 2) : - 2 \int 2 f (x) d x = 12$ …2022 · MCQ
$0 \int 2 (2 x^{2} - 3 x + [x - \frac{1}{2}]) d x$ , where [t] is the greatest integer function, is equal to :2022 · MCQ
Let $f (x) = min {[x - 1], [x - 2], \dots, [x - 10]}$ where [t] denotes the greatest integer $\leq t$ . Then $0 \int 10 f (x) d x + 0 \int 10 (f (x))^{2} d x + 0 \int 10 ∣ f (x) ∣ d x$ …2022 · Numerical
Let f be a differentiable function satisfying $f (x) = \frac{2}{3} 0 \int 3 f (\frac{λ ^{2} x}{3}) d λ, x > 0$ and $f (1) = 3$ . If $y = f (x)$ passes through the point $(α, 6)$ ,…2022 · Numerical
The value of the integral $- 2 \int 2 \frac{∣ x ^{3} + x ∣}{( e ^{x ∣ x ∣} + 1 )} d x$ is equal to :2022 · MCQ