If the area bounded by circle \( x^{2}+y^{2}=4 \), then
parabola \( y=x^{2}+x+1 \) and the curve.... VIDEO
If the area bounded by circle \( x^{2}+y^{2}=4 \), then
P
parabola \( y=x^{2}+x+1 \) and the curve \( y=\left[\sin ^{2} \frac{x}{4}+\cos \frac{x}{4}\right] \), (where [ ] denotes the greatest integer function) and \( x \)-axis \( \left(\sqrt{3}+\frac{2 \pi}{3}-\frac{1}{k}\right) \), then the numerical quantity \( k \) should be:
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-21 Question
Let \( \vec{a}, \vec{b}, \vec{c} \) be unit vectors such that \( \vec{a}+\vec{b}+\vec{c.... 2024-01-21 Question
A particle \( P \) starts from the point \( z_{0}=1+2 i \), where \( i=\sqrt{-1} \). It.... 2024-01-21 Question
The edges of a parallelopiped are of unit length and
are parallel to non-coplanar unit .... 2024-01-21 To evaluate
\( \int \frac{a \sin x+b \cos x}{c \sin x+d \cos x} d x \) where \( c^{2}+d^{2} \neq.... 2024-01-21 Question
The number of distinct real values of \( \lambda \), for which
the vectors \( -\lambda^.... 2024-01-21 Match the entries of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Colum.... 2024-01-21 If \( \int \frac{x^{2}}{1+x^{6}} \operatorname{Tan}^{-1}\left(x^{3}\right) d x=\frac{1}{k}\left[.... 2024-01-21 \( \int \frac{x^{3}+3}{(x+1)\left(x^{2}+1\right)} d x \) equal.... 2024-01-21 \( \int \frac{\sin x+2 \cos x}{2 \sin x+\cos x} d x \) is equal to \( p x+q \log _{e} \mid 2 \si.... 2024-01-21 Let \( f(x)=\frac{x}{\left(1+x^{n}\right)^{1 / n}} \) for \( n \geq 2 \) and \( g(x)=f \) of \( .... 2024-01-21 If the area bounded by circle \( x^{2}+y^{2}=4 \), then
parabola \( y=x^{2}+x+1 \) and the curve.... 2024-01-21 If \( \int \sin ^{-1} \sqrt{\frac{x}{1+x}} d x=A(x) \tan ^{-1} \sqrt{x}+B(x)+C \),
where \( C \).... 2024-01-21 \( \int \frac{x^{4}\left(x^{10}-1\right)}{x^{20}+3 x^{10}+1} d x \) equals.... 2024-01-21 If \( \int \frac{\sin \theta-\cos \theta}{(\sin \theta+\cos \theta) \sqrt{\sin \theta \cos \thet.... 2024-01-21 If \( \int \frac{5 x+4}{\sqrt{x^{2}+2 x+5}} d x=\left(x^{2}+2 x+5\right)^{1 / 5}+f(x)+c \)
then .... 2024-01-21 If \( l^{r}(x) \) means \( \log \log \log \ldots x, \log \) being repeated
\( r \) times, then \.... 2024-01-21 If \( f^{\prime}(x)=\tan ^{-1}(\sec x+\tan x), x \in\left(-\frac{\pi}{2} \frac{\pi}{2}\right) \).... 2024-01-21 Let \( \int \frac{\cos x}{\sin ^{3} x\left(1+\sin ^{6} x\right)^{2 / 3}} d x=f(x)\left(1+\sin ^{.... 2024-01-21 Let \( f(x) \) be a polynomial satisfying \( f(0)=2, f^{\prime}(0) \)
\( =3 \) and \( f^{\prime .... 2024-01-21 If
\[
I=\int \frac{e^{\tan ^{-1} x}}{\left(1+x^{2}\right)}\left\{\left(\sec ^{-1} \sqrt{1+x^{2}}.... 2024-01-21 \( \int \frac{x^{2}(1-\ln x)}{(\ln x)^{4}-x^{4}} d x \) is equal to....