If \( f(x)=\int \frac{x^{8}+4}{x^{4}-2 x^{2}+2} d x \) and \( f(0)=...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=ipN849XTszg


Duration: 6:35
1 views
0

If \( f(x)=\int \frac{x^{8}+4}{x^{4}-2 x^{2}+2} d x \) and \( f(0)=0 \), then
\( \mathrm{P} \)
(1) \( f(x) \) is an odd function
W
(2) \( f(x) \) has range \( R \)
(3) \( f(x) \) has at least one real root
(4) \( f(x) \) is a monotonic function
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-03-21If \( \int \frac{x(x-1)}{\left(x^{2}+1\right)(x+1) \sqrt{x^{3}+x^{2...
2023-03-21Integrals of the form \( \int R\left(x, \sqrt{\left.a x^{2}+b x+c\r...
2023-03-21If \( A \) is square matrix and \( e^{A} \) is defined as \( e^{A}=...
2023-03-21If \( A \) is square matrix and \( e^{A} \) is defined as P \( e^{A...
2023-03-21Let \( f(x)=\int \frac{x^{2} d x}{\left(1+x^{2}\right)\left(1+\sqrt...
2023-03-21\( y=f(x) \) is a polynomial function passing through point P \( (0...
2023-03-21\( y=f(x) \) is a polynomial function passing through point P \( (0...
2023-03-21If \( \int \frac{3 \sin x+2 \cos x}{3 \cos x+2 \sin x} d x=a x+b \l...
2023-03-21If \( \int \frac{d x}{x^{2}+a x+1}=f(g(x))+c \), then P W (1) \( f(...
2023-03-21\( y=f(x) \) is a polynomial function passing through point \( \mat...
2023-03-21If \( f(x)=\int \frac{x^{8}+4}{x^{4}-2 x^{2}+2} d x \) and \( f(0)=...
2023-03-21If \( \int \frac{1-x^{7}}{x\left(1+x^{7}\right)} d x=a \log _{e}|x|...
2023-03-21If \( \int \frac{x^{4}+1}{x^{6}+1} d x=\tan ^{-1} f(x)-\frac{2}{3} ...
2023-03-21If \( \int \sin ^{-1} x \cos ^{-1} x d x=f^{-1}(x)\left[A x-x f^{-1...
2023-03-21If \( \int \frac{\cos 4 x+1}{\cot x-\tan x} d x=A f(x)+B \), then \...
2023-03-21If \( \int \frac{x^{2}-x+1}{\left(x^{2}+1\right)^{\frac{3}{2}}} e^{...
2023-03-21If \( I=\int \frac{\sin x+\sin ^{3} x}{\cos 2 x} d x=P \cos x+Q \lo...
2023-03-21If \( \int \frac{e^{x-1}}{\left(x^{2}-5 x+4\right)} 2 x d x=A F(x-1...
2023-03-21If \( \int x^{2} e^{-2 x} d x=e^{-2 x}\left(a x^{2}+b x+c\right)+d ...
2023-03-21\( \int \sqrt{1+\operatorname{cosec} x} d x \) equals P (1) \( 2 \s...
2023-03-21If \( \int_{\text {then }} \sqrt{\operatorname{cosec} x+1} d x=k f ...


Tags:
pw