New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2023 · 24 Jan · Shift 1 · Q42

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 24 Jan · Shift 1 · Q42

Definite Integration question

2023 · 24 Jan · Shift 1 · Q42

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

The value of

12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx}

is

\underline{\hspace{2cm}}

Numerical answer

More from Definite Integration

The value of $\frac{8}{π} 0 \int \frac{π}{2} \frac{( c o s x ) ^{2023}}{( s i n x ) ^{2023} + ( c o s x ) ^{2023}} d x$ is 2023 · Numerical
$\frac{3 2}{4} \int \frac{3 3}{4} \frac{48}{9 - 4 x ^{2}} d x$ is equal to :2023 · MCQ
Let $f$ be $a$ differentiable function defined on $[0, \frac{π}{2}]$ such that $f (x) > 0$ and $f (x) + \int_{0}^{x} f (t) 1 - (lo g_{e} f (t))^{2} d t = e, \forall x \in [0, \frac{π}{2}]$ . Then $(6 lo g_{e} f (\frac{π}{6}))^{2}$ …2023 · Numerical
The minimum value of the function $f (x) = 0 \int 2 e^{∣ x - t ∣} d t$ is :2023 · MCQ
The integral $16 1 \int 2 \frac{d x}{x ^{3} ( x ^{2} + 2 ) ^{2}}$ is equal to2023 · MCQ
If $\frac{1}{3} \int 3 ∣ lo g_{e} x ∣ d x = \frac{m}{n} lo g_{e} (\frac{n ^{2}}{e})$ , where m and n are coprime natural numbers, then $m^{2} + n^{2} - 5$ is equal to .2023 · Numerical
Let $f (x) = x + \frac{a}{π ^{2} - 4} sin x + \frac{b}{π ^{2} - 4} cos x, x \in R$ be a function which satisfies $f (x) = x + 0 \int π /2 sin (x + y) f (y) d y$ . then $(a + b)$ is equal to2023 · MCQ
The value of the integral $\int_{1}^{2} (\frac{t ^{4} + 1}{t ^{6} + 1}) d t$ is2023 · MCQ