Match the following lists: P \begin{tabular}{|l|l|} \hline \multico...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=TV7MBFH7Zt8


Duration: 14:54
0 views
0

Match the following lists:
P
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ List I } & \multicolumn{1}{c|}{ List II } \\
\hline a. \( \int \frac{e^{2 x}-1}{e^{2 x}+1} d x \) is equal to & p. \( x-\log \left[1+\sqrt{1-e^{2 x}}\right]+c \) \\
\hline b. \( \int \frac{1}{\left(e^{x}+e^{-x}\right)^{2}} d x \) is equal to & q. \( \log \left(e^{x}+1\right)-x-e^{-x}+c \) \\
\hline c. \( \int \frac{e^{-x}}{1+e^{x}} d x \) is equal to & r. \( \log \left(e^{2 x}+1\right)-x+c \) \\
\hline d. \( \int \frac{1}{\sqrt{1-e^{2 x}}} d x \) is equal to & s. \( -\frac{1}{2\left(e^{2 x}+1\right)}+c \) \\
\hline
\end{tabular}
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-03-21Let \( f(x) \) be a non-constant twice differentiable function defi...
2023-03-21If \( f(x)=\int_{0}^{1} \frac{d t}{1+|x-t|}, x \in R \) P The value...
2023-03-21Let \( u=\int_{0}^{\infty} \frac{d x}{x^{4}+7 x^{2}+1} \) and \( v=...
2023-03-21Let \( u=\int_{0}^{\infty} \frac{d x}{x^{4}+7 x^{2}+1} \) and \( v=...
2023-03-21The range of the function \( f(x)=\int_{-1}^{1} \frac{\sin x d t}{\...
2023-03-21\( \int_{0}^{x}|\sin t| d t \), where \( x \in(2 n \pi,(2 n+1) \pi)...
2023-03-21\( f:[0,1] \rightarrow R \) be a non increasing function, then for ...
2023-03-21If \( \int_{0}^{1} e^{x^{2}}(x-\alpha) d x=0 \), then \( \mathrm{P}...
2023-03-21If \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\frac{\pi}{2} \), then...
2023-03-21\( \int_{-1}^{1} \frac{e^{-1 / x}}{x^{2}\left(1+e^{-2 / x}\right)} ...
2023-03-21Match the following lists: P \begin{tabular}{|l|l|} \hline \multico...
2023-03-21If \( S_{n}=\left[\frac{1}{1+\sqrt{n}}+\frac{1}{2+\sqrt{2 n}}+\cdot...
2023-03-21Match the following lists: \begin{tabular}{|l|l|} \hline \multicolu...
2023-03-21Suppose that \( F(x) \) is an anti-derivative of \( f(x)=\frac{\sin...
2023-03-21If \( \int_{\log 2}^{x} \frac{d x}{\sqrt{e^{x}-1}}=\frac{\pi}{6} \)...
2023-03-21The value of \[ \lim _{n \rightarrow \infty} \frac{\left(1^{2}+2^{2...
2023-03-21Consider P \[ \begin{array}{l} \int \frac{x^{3}+3 x^{2}+2 x+1}{\sqr...
2023-03-21\( \operatorname{Let} f(x)=\lim _{n \rightarrow \infty} \frac{1}{n}...
2023-03-21If \( \int \frac{2 \cos x-\sin x+\lambda}{\cos x+\sin x-2} d x=A \l...
2023-03-21If \( \int e^{x^{3}+x^{2}-1}\left(3 x^{4}+2 x^{3}+2 x\right) d x=f(...
2023-03-21If a function satisfies the relation \( f(x) f^{\prime \prime}(x)-f...


Tags:
pw