Match the entries of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Colum.... VIDEO
Match the entries of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Column I & & \multicolumn{1}{|c|}{ Column II } \\
\hline (A) & \( \int e^{x} \frac{(2+\sin 2 x)}{1+\cos 2 x} d x \) & (P) & \( e^{x} \tan \frac{x}{2}+c \) \\
\hline (B) & \( \int e^{x} \frac{(2-\sin 2 x)}{1-\cos 2 x} d x \) & (Q) & \( -e^{-x / 2} \sec \frac{x}{2}+c \) \\
\hline (C) & \( \int e^{x} \frac{(1+\sin x)}{1+\cos x} d x \) & (R) & \( e^{x} \tan x+c \) \\
\hline (D) & \( \int e^{-x / 2} \frac{\sqrt{1-\sin x}}{1+\cos x} d x \) & (S) & \( -e^{x} \cot x+c \) \\
\hline
\end{tabular}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & R & Q & S & P \\
(2) & R & S & P & Q \\
(3) & Q & R & P & S \\
(4) & Q & R & S & P
\end{tabular}
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-22 Question
Let two non-collinear unit vectors \( \hat{a} \) and \( \hat{b} \) form
an acute angle..... 2024-01-22 Question
If \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \) are unit vectors such that
\( (\ve.... 2024-01-22 Match the integrals of \( f(x) \) if
\begin{tabular}{|c|c|c|c|}
\hline & Column I & & Column II .... 2024-01-22 Question
The edges of a parallelopiped are of unit length and
are parallel to non-coplanar unit .... 2024-01-22 The antiderivative of
\begin{tabular}{|l|l|l|l|}
\hline & Column I & & \multicolumn{1}{|c|}{ Col.... 2024-01-22 If \( \int e^{2 x}(\cos x+7 \sin x) d x=e^{2 x} g(x)+C \),
where \( C \) is a constant of integr.... 2024-01-22 \( \int \frac{\sin x+2 \cos x}{2 \sin x+\cos x} d x \) is equal to \( p x+q \log _{e} \mid 2 \si.... 2024-01-22 Question
Let \( \vec{a}, \vec{b}, \vec{c} \) be unit vectors such that \( \vec{a}+\vec{b}+\vec{c.... 2024-01-22 If
\( \int \frac{\sin 2 x}{\sin 3 x \sin 5 x} d x=\frac{1}{p} \log _{e}|\sin 3 x|-\frac{1}{q} \l.... 2024-01-22 Question
The number of distinct real values of \( \lambda \), for which
the vectors \( -\lambda^.... 2024-01-22 Match the entries of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Colum.... 2024-01-22 If \( \int \frac{x^{2}}{1+x^{6}} \operatorname{Tan}^{-1}\left(x^{3}\right) d x=\frac{1}{k}\left[.... 2024-01-22 \( \int \frac{x^{3}+3}{(x+1)\left(x^{2}+1\right)} d x \) equal.... 2024-01-22 If \( \int \sin ^{-1} \sqrt{\frac{x}{1+x}} d x=A(x) \tan ^{-1} \sqrt{x}+B(x)+C \),
where \( C \).... 2024-01-22 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 .... 2024-01-22 Let \( f(x)=\frac{x}{\left(1+x^{n}\right)^{1 / n}} \) for \( n \geq 2 \) and \( g(x)=f \) of \( .... 2024-01-22 If \( \int \frac{\sin \theta-\cos \theta}{(\sin \theta+\cos \theta) \sqrt{\sin \theta \cos \thet.... 2024-01-22 \( \int \frac{x^{4}\left(x^{10}-1\right)}{x^{20}+3 x^{10}+1} d x \) equals.... 2024-01-22 If the area bounded by circle \( x^{2}+y^{2}=4 \), then
parabola \( y=x^{2}+x+1 \) and the curve.... 2024-01-22 If \( f^{\prime}(x)=\tan ^{-1}(\sec x+\tan x), x \in\left(-\frac{\pi}{2} \frac{\pi}{2}\right) \).... 2024-01-22 If \( l^{r}(x) \) means \( \log \log \log \ldots x, \log \) being repeated
\( r \) times, then \....