\( \int \frac{e^{x \sqrt{2}}\left(1-x^{2}\right)}{(1-x \sqrt{2}) \sqrt{1-2 x^{2}}} d x \) is equ....

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=onQUQmDpCSQ


Duration: 6:09
0 views
0

\( \int \frac{e^{x \sqrt{2}}\left(1-x^{2}\right)}{(1-x \sqrt{2}) \sqrt{1-2 x^{2}}} d x \) is equal to
\( \mathrm{P} \)
(1) \( \frac{1}{2 \sqrt{2}} e^{x \sqrt{2}}\left(\frac{1+x \sqrt{2}}{1-x \sqrt{2}}\right)+c \)
(2) \( \frac{1}{2 \sqrt{2}} e^{x \sqrt{2}}\left(\frac{1-x \sqrt{2}}{1+x \sqrt{2}}\right)+c \)
(3) \( \frac{1}{2 \sqrt{2}} e^{x \sqrt{2}} \sqrt{\frac{1+x \sqrt{2}}{1-x \sqrt{2}}}+c \)
(4) \( \frac{1}{2 \sqrt{2}} e^{x \sqrt{2}} \sqrt{\frac{1-x \sqrt{2}}{1+x \sqrt{2}}}+c \)
.


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



Other Videos By PW Solutions


2024-01-22\( \int f(g(x)) g^{\prime}(x) d x=\int f(t) d t \) where \( t=g(x) \). This rule is called subst....
2024-01-22If \( \int \frac{x^{4}}{\sqrt{4+x^{5}}} d x=\frac{p}{q} \sqrt{4+x^{5}}+c \), then \( p+q=\ldots ....
2024-01-22Let \( f(x)=x^{3}+a x^{2}+b x+c \) where \( a, b, c \) are real numbers. If \( f(x) \) has local....
2024-01-22\( \int \frac{\sqrt{x}}{\sqrt{a^{3}-x^{3}}} d x= \)....
2024-01-22\( \int \frac{x}{\left(x^{2}-3 x+2\right) \sqrt{x^{2}-4 x+3}} d x \) is equal to....
2024-01-22\( \int \frac{1-\cos x}{\cos x(1+\cos x)} d x \) is equal to....
2024-01-22\( \int f(g(x)) g^{\prime}(x) d x=\int f(t) d t \) where \( t=g(x) \). This rule is called subst....
2024-01-22If \( f(x) \) is a quadratic expression such that \( f(0)=f(1) \) \( =3 f(2)=-3 \), then \( \int....
2024-01-22\( \int \frac{\operatorname{Sin}^{-1} \sqrt{x}-\cos ^{-1} \sqrt{x}}{\operatorname{Sin}^{-1} \sqr....
2024-01-22\( \int \frac{d x}{\sqrt[4]{1+x^{4}}} \) is (1) \( \frac{1}{4} \log _{e}\left|\frac{\left(1+x^{4....
2024-01-22\( \int \frac{e^{x \sqrt{2}}\left(1-x^{2}\right)}{(1-x \sqrt{2}) \sqrt{1-2 x^{2}}} d x \) is equ....
2024-01-22\( \int \frac{d x}{\left(x^{6}+1\right)^{2}}-\frac{5}{6} \int \frac{d x}{x^{6}+1} \) is equal to....
2024-01-22\[ \int(\sin x)^{-11 / 3}(\cos x)^{-1 / 3} d x=-\frac{3\left(1+4 \tan ^{2} x\right)}{8 H(x)}+c \....
2024-01-22Match the following \begin{tabular}{|l|l|l|l|} \hline & \multicolumn{1}{|c|}{ List -I } & & \mul....
2024-01-22If \( \int \frac{d x}{1+\sin x}=\tan \left(\frac{x}{2}+a\right)+c \), then \( a \) is equal to....
2024-01-22Match the following \begin{tabular}{|l|l|l|l|} \hline & \multicolumn{1}{|c|}{ List -I } & & \mul....
2024-01-22If \( \int x^{-11}\left(1+x^{4}\right)^{-1 / 2} d x=-\frac{1}{10} x^{-a}\left(1+x^{4}\right)^{5 ....
2024-01-22If \( \int \frac{d x}{\sqrt{x}(1+\sqrt[4]{x})^{10}}=a(1+\sqrt[4]{x})^{-8}+b(1+\sqrt[4]{x})^{-9} ....
2024-01-22If \( f: \mathbb{R} \rightarrow \mathbb{R} \) is a function satisfying the following: (i) \( f(-....
2024-01-22\( \int \frac{d x}{(x+1)^{2 / 3}(x-1)^{4 / 3}} \) equals....
2024-01-22Let \( P(x) \) be a polynomial of degree 4 , vanishes at \( x=-1 \) and has local maximum/local ....