\( \int \frac{\cos ^{2} x-x^{2} \sin x}{(x+\cos x)^{2}} d x \) is equal to (a) \( \frac{x \cos x...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=B7RLkeR0bmM


Duration: 6:59
4 views
0

\( \int \frac{\cos ^{2} x-x^{2} \sin x}{(x+\cos x)^{2}} d x \) is equal to
(a) \( \frac{x \cos x}{x+\cos x}+C \)
(b) \( \frac{x-\cos x}{x+\cos x}+C \)
(c) \( \frac{x^{2} \cos x}{x+\cos x}+C \)
(d) \( \frac{x \cos ^{2} x}{x+\cos x}+C \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-09Evaluate: \( \int x \cdot \sqrt{\frac{2 \sin \left(x^{2}+1\right)-\sin 2\left(x^{2}+1\right)}{2 ...
2023-06-09Evaluate \( \int \frac{\sqrt{x-1}}{x \sqrt{x+1}} d x \) (a) \( \ln \left(x+\sqrt{x^{2}-1}\right)...
2023-06-09Evaluate: \( \int \tan 3 x \tan 2 x \tan x d x \)
2023-06-09Let \[ \begin{array}{l} \int \frac{f^{\prime}(x) g(x)-g^{\prime}(x) f(x)}{(f(x)+g(x)) \sqrt{f(x)...
2023-06-09Prove that: (i) \( \int 1 / \sqrt{\left(1-x^{2}\right)} \cdot d x=\sin ^{-1} x+C \) (ii) \( \int...
2023-06-09Evaluate \( \int \frac{\left(\sqrt[3]{x+\sqrt{2-x^{2}}}\right)\left(\sqrt[6]{1-x \sqrt{2-x^{2}}}...
2023-06-09\[ \int \frac{x^{3}-1}{\left(x^{4}+1\right)(x+1)} d x \] (a) \( \frac{1}{4} \ln \left(1+x^{4}\ri...
2023-06-09\[ \int \sqrt{\frac{(2023)^{2 x}}{1-(2023)^{2 x}}}(2023)^{\sin ^{-1}(2023)^{x}} d x= \] (a) \( \...
2023-06-09\( \int \frac{3 x^{2}+4 x-1}{\left(x^{2}+1\right)^{2} \sqrt{x+1}} d x \) is equal to: (a) \( \fr...
2023-06-09A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index ...
2023-06-09\( \int \frac{\cos ^{2} x-x^{2} \sin x}{(x+\cos x)^{2}} d x \) is equal to (a) \( \frac{x \cos x...
2023-06-09In free space, an electromagnetic wave of \( 3 \mathrm{GHz} \) strikes over the edge of an objec...
2023-06-09\( \int \frac{x^{2}}{(a+b x)^{2}} d x \) equals (a) \( \frac{1}{b^{3}}\left(a+b x-a \ln |a+b x|-...
2023-06-09Let \( f(x)=\int \frac{x^{2} d x}{\left(1+x^{2}\right)\left(1+\sqrt{1+x^{2}}\right)} \) and \( f...
2023-06-09The value of \( \int \frac{(\cos 2 x)^{2}}{\sin x} d x \) (a) \[ \begin{array}{l} -\ln \left[\co...
2023-06-09If \( \int \frac{(2 x+3) d x}{x(x+1)(x+2)(x+3)+1}=C-\frac{1}{f(x)} \) where \( f(x) \) is of the...
2023-06-09If \( \int \frac{(x-1) d x}{(x+x \sqrt{x}+\sqrt{x}) \sqrt{\sqrt{x}(x+1)}}=4 \tan ^{-1}[g(x)]+C \...
2023-06-09\( I=\int \frac{(1-\cos \theta)^{2 / 7}}{(1+\cos \theta)^{9 / 7}} d \theta- \) is equal to (a) \...
2023-06-09The value of \( \int \frac{d x}{\sin x+\sec x} \) (a) \( \frac{1}{2 \sqrt{3}} \ln \left(\frac{\c...
2023-06-09The value of \( \int \frac{\cos 7 x-\cos 8 x}{1+2 \cos 5 x} \cdot d x \) (a) \( \frac{\sin 2 x}{...
2023-06-09The value of \( \int \frac{\cos x+x \sin x}{x(x+\cos x)} \cdot d x \) (a) \( \ln |x|-\ln |x+\cos...