\[ \int \frac{e^{3 x}+e^{x}}{e^{4 x}-e^{2 x}+1} d x= \] \( \mathrm{...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=c4DyRXhNjqs


Duration: 2:22
0 views
0

\[
\int \frac{e^{3 x}+e^{x}}{e^{4 x}-e^{2 x}+1} d x=
\]
\( \mathrm{P}^{13} \)
W
(1) \( \frac{1}{4} \log \left(e^{4 x}-e^{2 x}+1\right)+c \)
(2) \( \tan ^{-1}\left(e^{x}-e^{-x}\right)+c \)
(3) \( \tan ^{-1}\left(e^{x}+e^{-x}\right)+c \)
(4) \( \tan ^{-1}\left(e^{-x}-e^{x}\right)+c \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-04-06\( \int \frac{2 x^{3}-1}{x^{4}+x} d x \) \( \mathrm{P}^{15} \) W (1...
2023-04-06For real numbers \( \alpha, \beta, \gamma \) and \( \delta \) is \(...
2023-04-06If \( \int \sin ^{-1}\left(\sqrt{\frac{x}{1+x}}\right) d x=A(x) \cd...
2023-04-06\( \int\left(\frac{x}{x \sin x+\cos x}\right)^{2} d x= \) \( \mathr...
2023-04-06If \( \int \frac{\cos \theta \cdot d \theta}{5+7 \sin \theta-2 \cos...
2023-04-06If \( f(x)=\int \frac{5 x^{8}+7 x^{6}}{\left(x^{2}+1+2 x^{7}\right)...
2023-04-06If \( \int \frac{\sin x}{\sin ^{3} x+\cos ^{3} x} d x \) \( =\alpha...
2023-04-06If \( \left.\int \frac{2 e^{x}+3 e^{-x}}{4 e^{x}+7 e^{-x}} d x=\fra...
2023-04-06\[ \int \frac{x^{2}+4}{x^{4}+16} d x=\frac{1}{k} \tan ^{-1}\left(\f...
2023-04-06\[ \int \frac{1-x^{2}}{1+x^{2}} \cdot \frac{d x}{\sqrt{1+x^{2}+x^{4...
2023-04-06\[ \int \frac{e^{3 x}+e^{x}}{e^{4 x}-e^{2 x}+1} d x= \] \( \mathrm{...
2023-04-06Suppose \( \mathrm{P}^{3} \) \( A=\int \frac{d x}{x^{2}+6 x+25} \) ...
2023-04-06\( \int \frac{x^{2}+1}{x^{4}-x^{2}+1} d x \) is equal to \( \mathrm...
2023-04-06If \( \int \frac{(2 x+3) d x}{x(x+1)(x+2)(x+3)+1}=C-\frac{1}{f(x)} ...
2023-04-06\( \int \frac{x^{2}(1-\ln x)}{\ln ^{4} x-x^{4}} d x \) equals: \( \...
2023-04-06The integral \( \int \sqrt{\cot x} e^{\sqrt{\sin x}} \sqrt{\cos x} ...
2023-04-06If \( I_{n}=\int \cot ^{n} x d x \) then \( \mathrm{P}^{12: 22} \) ...
2023-04-06Let \( f(x)=\frac{2 \sin ^{2} x-1}{\cos x}+\frac{\cos x(2 \sin x+1)...
2023-04-06If \( I_{n}=\int(\sin x)^{n} d x n \in N \), Then \( 5 I_{4}-6 I_{6...
2023-04-06\[ \int \frac{e^{\tan ^{-1} x}}{\left(1+x^{2}\right)}\left[\left(\s...
2023-04-06\[ \int \frac{\cos ^{3} x+\cos ^{5} x}{\sin ^{2} x+\sin ^{4} x} d x...


Tags:
pw