Question If \( f \) and \( g \) are defined as \( f(x)=f(4-x) \) and \( g(x)+g(4-x)=4 \), then \....

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=f5xVFmnJX-8


Duration: 1:50
2 views
0

Question
\( \mathrm{P} \)
W
If \( f \) and \( g \) are defined as \( f(x)=f(4-x) \) and \( g(x)+g(4-x)=4 \), then \( \int_{0}^{4} f(x) g(x) d x=k \int_{0}^{4} f(x) d x \) then \( k \) equals


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



Other Videos By PW Solutions


2024-01-22The general solution of the differential equation \( (1+\tan y)(d x-d y)+2 x d y=0 \), is equal ....
2024-01-22The function \( y=f(x) \) is the solution of the differential equation \( \frac{d y}{d x}+\frac{....
2024-01-22Question If \( P=\int_{0}^{\infty} \frac{x^{2}}{1+x^{4}} d x ; \quad Q=\int_{0}^{\infty} \frac{x....
2024-01-22If the differential equation of the family of curve given by \( y=A x+B e^{2 x} \), where \( A \....
2024-01-22Match the column-I with column-II \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column....
2024-01-22General solution of the differential equation \( x^{2}\left(x+y \frac{d y}{d x}\right)+\left(x \....
2024-01-22The general solution of \( x \frac{d y}{d x}+\left(\log _{e} x\right) y=x^{1-\frac{1}{2} \log _{....
2024-01-22Question \( \int_{-3 \pi}^{3 \pi} \sin ^{2} \theta \sin ^{2} 2 \theta d \theta \) is equal to \(....
2024-01-22Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \). Then answer the following quest....
2024-01-22Question \( \int_{\pi / 6}^{\pi / 3} \frac{d x}{1+\sqrt{\cot x}} \) is \( \frac{\pi}{k} \) then ....
2024-01-22Question If \( f \) and \( g \) are defined as \( f(x)=f(4-x) \) and \( g(x)+g(4-x)=4 \), then \....
2024-01-22If \( f(x)=\int_{x}^{x^{2}}\left(t^{2}-3 t\right) d t, 2 \leq x \leq 3 \), then absolute maximum....
2024-01-22Question Let \( I_{n}=\int_{-\pi}^{\pi} \frac{\sin n x+2^{x} \cos x}{\left(1+4^{x}\right) \sin x....
2024-01-22Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \). Then answer the following quest....
2024-01-22Let \( f(x) \) is a continuous function for all real values of \( x \) and satisfies \( \int_{0}....
2024-01-22If \( f(x)=\int_{1}^{x} \frac{\ln t}{1+t} d t \), then....
2024-01-22Question \( \lim _{n \rightarrow \infty} \sum_{r=1}^{r=4 n} \frac{\sqrt{n}}{\sqrt{r}(3 \sqrt{r}+....
2024-01-22\( \lim _{n \rightarrow \infty} \frac{1}{n}\left(\sin \frac{\pi}{n}+\sin \frac{2 \pi}{n}+\sin \f....
2024-01-22\[ \begin{array}{l} \int_{-2011}^{2011}\left\{\left[x^{2011}+x^{2009}+x^{2007}+x^{2005}+\ldots+x....
2024-01-22If \( \int_{0}^{a} f(2 a-x) d x=4 \) and \( \int_{0}^{a} f(x) d x=2 \), then \( \int_{0}^{2 a} f....
2024-01-22Question The value of \( \int_{1}^{e}\left(\left(\frac{1}{x}-x+x \ln x\right) \sin x\right) d x ....