Let \( g(x) \) be a real valued function defined on the interval \(...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=WBVMi3PEcr8



Duration: 9:51
3 views
0


Let \( g(x) \) be a real valued function defined on the interval \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \) such that
\( \mathrm{P} \) \( g(x)=e^{2 x}+\int_{0}^{\sin x} \frac{e^{t}}{\cos ^{2} x+2 t \sin x-t^{2}} d t \forall x \in\left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \). Also \( f(x) \) be the inverse

W function of \( g(x) \), where \( 0 \leq x \leq \frac{\pi}{2} \). Find the value of \( \frac{1}{\left(f^{\prime}(1)\right)^{2}}+g(0)+g^{\prime}(0)+g^{\prime \prime}(0) \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21Let \( A \equiv(3,2) \) and \( B \equiv(5,1), A B P \) is an equila...
2023-03-21If \( m \) and \( b \) are real numbers and \( m b0 \), then the li...
2023-03-21If the area bounded by the curve \( y=\left|\cos ^{-1}(\sin x)\righ...
2023-03-21A line passes through \( (1,0) \). The slope of the line,for which ...
2023-03-21If the maximum area of the region enclosed by the curves \( y=|x| e...
2023-03-21Area of the triangle formed by the line \( x+y=3 \) and angle bisec...
2023-03-21Let \( M=\left(p, \frac{4}{3-p}-1\right) \) be a variable point whi...
2023-03-21Find the sum of all integral values of \( a \) such that \( a\left(...
2023-03-21Let the function \( f(x)=a x^{6}+b x^{5}+c x^{4}+d x^{3}+e x^{2}+f ...
2023-03-21A curve \( y=f(x) \) has the property that the perpendicular distan...
2023-03-21Let \( g(x) \) be a real valued function defined on the interval \(...
2023-03-21Consider \( f(x)=e^{x} \sec x-\sqrt{2} \cos x+x, x \in\left[\frac{-...
2023-03-21Let \( f(x) \) be function defined on the set of real numbers to re...
2023-03-21Let \( f(x)=\left(1+\frac{1}{x}\right)^{x} \) and \( g(x)=\left(1+\...
2023-03-21The minimum value of \( \left(1+\frac{1}{\sin ^{n} \alpha}\right)\l...
2023-03-21Let a be a real number. If the value of definite integral \( \int_{...
2023-03-21Given a function \( g \), continuous everywhere such that \( g(1)=5...
2023-03-21\( \mathrm{Ii} \int_{0}^{2} \frac{\ln (1+2 x)}{1+x^{2}}=\left(\tan ...
2023-03-21Let \( f(x)=x \cos x, x \in\left[\frac{3 \pi}{2}, 2 \pi\right] \) a...
2023-03-21Let \( n \) be a positive integer. Define \( f(x)=\min (|x-1|,|x-2|...
2023-03-21Given that \( U_{n}=\{x(1-x)\}^{n} \) and \( n \geq 2 \) and \( \fr...



Tags:
pw