Let \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\alpha \). Then match...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=cP1p5IWbSy8



Category:
Let's Play
Duration: 7:49
1 views
0


Let \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\alpha \). Then match the following lists and choose the correct code.
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ List I } & List II \\
\hline a. \( \int_{0}^{\infty} \frac{\sin (5 x)}{x} d x= \) & p. 0 \\
\hline b. \( \int_{0}^{\infty} \frac{\sin ^{2} x}{x^{2}} d x+\alpha= \) & q. \( \alpha \) \\
\hline c. \( \int_{0}^{\infty} \frac{\sin ^{3} x}{x} d x= \) & r. \( \alpha / 2 \) \\
\hline d. \( \int_{0}^{\infty} \frac{\sin \left(k_{1} x\right) \cdot \cos k_{2} x}{x} d x-\alpha=\left(\right. \) where \( \left.k_{1}k_{2}0\right) \) & s. \( 2 \alpha \) \\
\hline
\end{tabular}
Codes:
\( \begin{array}{llll}\text { a } & b & c & d\end{array} \)
(2) \( \quad \mathrm{p} \quad \mathrm{q} \quad \mathrm{s} \quad \mathrm{q} \)
(3) \( s \quad p \quad q \quad r \)
(4) \( \begin{array}{lllll} & \mathrm{s} & \mathrm{r} & \mathrm{p}\end{array} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21Let \( g(x) \) be differentiable on \( R \) and \( \int_{\sin t}^{1...
2023-03-21\( \lim _{n \rightarrow \infty} \frac{n}{2^{n}} \int_{0}^{2} x^{n} ...
2023-03-21If \( f \) is continuous function and \( \mathrm{P} \) \[ F(x)=\int...
2023-03-21The value of \( \int_{0}^{1} \frac{\tan ^{-1} x}{\cot ^{-1}\left(1-...
2023-03-21Let \( f:[0, \infty) \rightarrow R \) be a continuous strictly incr...
2023-03-21The value of \( \int_{0}^{\frac{3 \pi}{2}} \frac{\left|\tan ^{-1} \...
2023-03-21Let \( f(x)=x^{3}-\frac{3 x^{2}}{2}+x+\frac{1}{4} \). Then the valu...
2023-03-21If \( I=\int_{0}^{3 \pi / 4}((1+x) \sin x+(1-x) \cos x) d x \), the...
2023-03-21If \( \int_{0}^{100} f(x) d x=7 \), then \( \sum_{r=1}^{100}\left(\...
2023-03-21Consider the polynomial \( f(x)=a x^{2}+b x+c \). If \( f(0)=0 \), ...
2023-03-21Let \( \int_{0}^{\infty} \frac{\sin x}{x} d x=\alpha \). Then match...
2023-03-21If the value of \( \lim _{n \rightarrow \infty}\left(n^{-3 / 2}\rig...
2023-03-21Match the following lists: \begin{tabular}{|l|l|} \hline \multicolu...
2023-03-21If [.] denotes the greatest integer function, then match the follow...
2023-03-21If \( U_{n}=\int_{0}^{\pi} \frac{1-\cos n x}{1-\cos x} d x \), wher...
2023-03-21If \( U_{n}=\int_{0}^{\pi} \frac{1-\cos n x}{1-\cos x} d x \), wher...
2023-03-21If \( f(x)=\int_{0}^{1} \frac{d t}{1+|x-t|}, x \in R \) \( \mathrm{...
2023-03-21If \( f(x)=\int_{0}^{\pi} \frac{t \sin t d t}{\sqrt{1+\tan ^{2} x \...
2023-03-21Let \( \mathrm{f} \) be a differentiable function satisfying \( \in...
2023-03-21Let \( \mathrm{f} \) be a differentiable function satisfying \[ \in...
2023-03-21Let \( f(x) \) be a non-constant twice differentiable function defi...



Tags:
pw