\( \int f(g(x)) g^{\prime}(x) d x=\int f(t) d t \) where \( t=g(x) \). This rule is called subst....

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=FShcCjP9PAI


Counter-Strike: Source
Game:
Counter-Strike: Source (2004)
Duration: 4:07
1 views
0

\( \int f(g(x)) g^{\prime}(x) d x=\int f(t) d t \) where \( t=g(x) \). This
\( \mathrm{P} \)
rule is called substitution rule. Answer the
W.
following questions:
\[
\int \frac{x^{2}-1}{x^{2}+1} \frac{d x}{\sqrt{1+x^{4}}}=
\]
(1) \( \frac{1}{\sqrt{2}} \operatorname{Cosh}^{-1} \frac{x \sqrt{2}}{1+x^{2}}+c \)
(2) \( \frac{1}{\sqrt{2}} \operatorname{Sinh}^{-1} \frac{x \sqrt{2}}{1+x^{2}}+c \)
(3) \( \frac{1}{\sqrt{2}} \operatorname{Tan}^{-1}\left(\frac{x \sqrt{2}}{1+x^{2}}\right)+c \)
(4) \( \frac{1}{\sqrt{2}} \operatorname{Cos}^{-1} \frac{x \sqrt{2}}{1+x^{2}} \)
.


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



Other Videos By PW Solutions


2024-01-22The area bounded by the parabola \( y=x^{2}+1 \) and the straight line \( x+y=3 \), is....
2024-01-22The area bounded by the curve \( y=(x-1)(x-2) \) \( (x-3) \) lying between the ordinates \( x=1 ....
2024-01-22Match the entries of Column-I with those of Column-II. \begin{tabular}{|l|l|l|l|} \hline \multic....
2024-01-22The area enclosed by the curves \( x^{2}=y, y=x+2 \), and \( x \)-axis, is....
2024-01-22The area of bounded by \( x=2 y-y^{2} \) and the \( y \)-axis is....
2024-01-22\( \int \frac{4 e^{x}+6 e^{-x}}{9 e^{x}-4 e^{-x}} d x \) equals....
2024-01-22The area bounded by the curve \( y=\sin ^{-1} x \) and the lines \( x=0,|y|=\frac{\pi}{2} \), is....
2024-01-22Match the items of Column-I with those in Column II. \begin{tabular}{|l|l|l|l|} \hline \multicol....
2024-01-22The area enclosed by the graph of \( y=\log _{\mathrm{e}}(x+1) \), \( y \) - axis and the line \....
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....
2024-01-22\( \int f(g(x)) g^{\prime}(x) d x=\int f(t) d t \) 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....


Other Statistics

Counter-Strike: Source Statistics For PW Solutions

There are 30,471 views in 1,724 videos for Counter-Strike: Source. His channel uploaded over 5 days worth of Counter-Strike: Source videos, less than 0.53% of the total video content that PW Solutions has uploaded to YouTube.