If \( \int_{0}^{a} f(2 a-x) d x=4 \) and \( \int_{0}^{a} f(x) d x=2 \), then \( \int_{0}^{2 a} f....

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=9LbFUfTOe_E


Duration: 1:29
0 views
0

If \( \int_{0}^{a} f(2 a-x) d x=4 \) and \( \int_{0}^{a} f(x) d x=2 \), then
\( \mathrm{P} \)
\( \int_{0}^{2 a} f(x) d x \) is equal to
(1) 2
(2) 4
(3) 6
(4) 8


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-21Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \). Then answer the following quest....
2024-01-21If \( f(x)=\int_{1}^{x} \frac{\ln t}{1+t} d t \), then....
2024-01-21Let \( f(x) \) is a continuous function for all real values of \( x \) and satisfies \( \int_{0}....
2024-01-21If \( f(x)=\int_{x}^{x^{2}}\left(t^{2}-3 t\right) d t, 2 \leq x \leq 3 \), then absolute maximum....
2024-01-21Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \). Then answer the following quest....
2024-01-21Question \( \lim _{n \rightarrow \infty} \sum_{r=1}^{r=4 n} \frac{\sqrt{n}}{\sqrt{r}(3 \sqrt{r}+....
2024-01-21Question The value of \( \int_{1}^{e}\left(\left(\frac{1}{x}-x+x \ln x\right) \sin x\right) d x ....
2024-01-21Question Let \( I_{n}=\int_{-\pi}^{\pi} \frac{\sin n x+2^{x} \cos x}{\left(1+4^{x}\right) \sin x....
2024-01-21\( \lim _{n \rightarrow \infty} \frac{1}{n}\left(\sin \frac{\pi}{n}+\sin \frac{2 \pi}{n}+\sin \f....
2024-01-21\[ \begin{array}{l} \int_{-2011}^{2011}\left\{\left[x^{2011}+x^{2009}+x^{2007}+x^{2005}+\ldots+x....
2024-01-21If \( \int_{0}^{a} f(2 a-x) d x=4 \) and \( \int_{0}^{a} f(x) d x=2 \), then \( \int_{0}^{2 a} f....
2024-01-21Question Match of the following lists: \begin{tabular}{|c|c|c|c|} \hline & List-I & & List-II \\....
2024-01-21The value of the definite integral \( \int_{1}^{\infty}\left(e^{x+1}+e^{3-x}\right)^{-1} d x \),....
2024-01-21Question The value of definite integration \( \int_{1 / 2018}^{2018} \frac{\cos x}{x\left(\cos x....
2024-01-21Question The value of \( \int_{0}^{1} \frac{\ln (x+1)}{1+x^{2}} d x \) is \( 1 \frac{\pi \ell n ....
2024-01-21Question What is the value of the following integral? \[ \int_{1 / 2020}^{2020} \frac{\tan ^{-1}....
2024-01-21Question If \( S_{n}=\frac{1}{1+\sqrt{n}}+\frac{1}{2+\sqrt{2 n}}+\ldots+\frac{1}{n+\sqrt{n^{2}}}....
2024-01-21Question Match of the following lists: \begin{tabular}{|c|c|c|c|} \hline & List-I & & \begin{tab....
2024-01-21Question Suppose for every integer \( n, \int_{n}^{n+1} f(x) d x=n^{2} \), then the value of \( ....
2024-01-21Question \( \int_{1}^{e} \frac{1+\log _{10} x}{x} d x \) is equal to \( 1 \frac{1}{2} \log _{10}....
2024-01-21Question If \( \vec{x} \) and \( \vec{y} \) be two non-zero vectors such that \( |\vec{x}+\vec{y....