The value of the integral, \( \int_{1}^{3}\left[x^{2}-2 x-2\right] ... VIDEO
The value of the integral, \( \int_{1}^{3}\left[x^{2}-2 x-2\right] d x \), where \( [\cdot] \)
P denotes the greatest integer less than or equal to \( x \) is:
W)
[JEE Main-2021 (February)]
(a) \( -5 \)
(b) \( -\sqrt{2}-\sqrt{3}+1 \)
(c) \( -4 \)
(d) \( -\sqrt{2}-\sqrt{3}-1 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-14 The triangle formed by ioining the three excentres \( I_{1} I_{2} \) and \( I_{3} \) of \( \tria... 2023-02-14 Fusion processes, like combining two deuterons to form a He nucleus... 2023-02-14 In each of the following questions read the two statements and choo... 2023-02-14 If \( A D, B E \) and \( C F \) are the medians of \( a \triangle A B C \), then \( \left(A D^{2... 2023-02-14 If a curve \( y=f(x) \) passes through the point \( (1,2) \) and sa... 2023-02-14 For real numbers \( \alpha, \beta, \gamma \) and \( \delta \), if
[... 2023-02-14 \( \lim _{x \rightarrow 0^{+}} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}... 2023-02-14 \[
\int \sec x d x=?
\]
\( \mathrm{P} \)
(a) \( \log |\sec x-\tan x... 2023-02-14 In each of the following questions read the two statements and choo... 2023-02-14 \( \int x^{2} \sin x^{3} d x=? \)
\( \mathrm{P} \)
(a) \( \cos x^{3... 2023-02-14 The value of the integral, \( \int_{1}^{3}\left[x^{2}-2 x-2\right] ... 2023-02-14 \[
\int \frac{d x}{(2-3 x)}=?
\]
\( \mathrm{P} \)
(a) \( -3 \log |2... 2023-02-14 \[
\int \tan ^{-1}\left\{\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}\right... 2023-02-14 When a nucleus in an atom undergoes a radioactive decay, the electr... 2023-02-14 Tritium is an isotope of hydrogen whose nucleus Triton contains 2 n... 2023-02-14 Triangle \( A B C \) is isosceles with \( A B=A C \) and \( B C=65 \mathrm{~cm} . P \) is a poin... 2023-02-14 In a nuclear reactor, moderators slow down the neutrons which come ... 2023-02-14 Heavy stable nucle have more neutrons than protons. This is because... 2023-02-14 A uniform solid sphere of radius \( r \) is rolling on a smooth horizontal surface with velocity... 2023-02-14 WV these lines intersect at the point \( Q \). Consider the ellipse whose center is at the origi... 2023-02-14 Match the column
Column - I
(A) The foci of the hyperbola \( 12 x^{2}-4 y^{2}-24 x+32 y-127=0 \)...