\[ \int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}} \] \( \math...

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


Duration: 3:09
3 views
0

\[
\int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}}
\]
\( \mathrm{P} \)
W
(1) \( \frac{-1}{\sqrt{4}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
(2) \( \frac{-1}{\sqrt{2}} \tan ^{-1}\left(\frac{\sqrt{1+x^{2}}}{\sqrt{2} x}\right)+c \)
(3) \( \frac{-1}{\sqrt{2}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
(4) \( \frac{1}{\sqrt{4}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-04-06\( \int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}} \) \( \math...
2023-04-06If \( I=\int \sqrt{x^{2}+5 x+1} d x=\frac{2 x+5}{4} \sqrt{x^{2}+5 x...
2023-04-06\[ \int \sqrt{2 x^{2}-x+1} d x \] \( \mathrm{P}^{12 i 2} \) W
2023-04-06Evaluate \( \int(2 x-4) \sqrt{4+3 x-x^{2}} d x \) \( \mathrm{P}^{12...
2023-04-06\[ \begin{array}{l} \int \frac{x+3}{\sqrt{4 x^{2}+4 x-3}} d x \\ =\...
2023-04-06\[ \int \frac{(2 x-1) \cdot \cos \sqrt{(2 x-1)^{2}+5}}{\sqrt{4 x^{2...
2023-04-06If \( \int \frac{\cos x d x}{\sin ^{3} x\left(1+\sin ^{6} x\right)^...
2023-04-06\[ \int \frac{d x}{(x+4)^{8 / 7}(x-3)^{6 / 7}} \] \( \mathrm{P}^{11...
2023-04-06\[ \int \frac{d x}{(x-1)^{3 / 4}(x+2)^{5 / 4}}= \] \( \mathrm{P}^{1...
2023-04-06\[ \begin{array}{l} \text { If } \int \frac{d x}{\left(x^{2}+x+1\ri...
2023-04-06\[ \int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}} \] \( \math...
2023-04-06\( \int \frac{d x}{(x+1) \sqrt{x^{2}-1}} \) \( \mathrm{P}^{12 i} \)...
2023-04-06\( \int \frac{d x}{(x+1) \sqrt{4 x+3}} \) is equal to: \( \mathrm{P...
2023-04-06\[ \int \frac{5 x+4}{\sqrt{x^{2}+2 x+5}} d x \] \( P^{12} \) W (1) ...
2023-04-06\[ \int \frac{x+3}{\sqrt{4 x^{2}+4 x-3}} d x=\frac{1}{4} \sqrt{f(x)...
2023-04-06\[ \int \frac{x^{2}}{\sqrt{1-4 x^{6}}} d x=\frac{1}{6} \sin ^{-1}\{...
2023-04-06Let \( x^{2} \neq n \pi-1, n \in N \), then \( \mathrm{P}^{11:} \) ...
2023-04-06\( \int \frac{d x}{\sqrt{x^{2}-2 x+3}}= \) \( \mathrm{P}^{1: 1:} \)...
2023-04-06The value of \( \int \frac{x^{2}-1}{x^{3} \sqrt{2 x^{4}-2 x^{2}+1}}...
2023-04-06\[ \int \frac{e^{x} d x}{\sqrt{1-e^{2 x}}}= \] P (1) \( \cos ^{-1}\...
2023-04-06Let \( f(x) \) be a polynomial function of degree 2 \( \mathrm{P} \...


Tags:
pw