\[ \int_{0}^{1000} e^{x-[x]} d x \] (a) \( 1000(e+1) \) (b) \( 1000(e-1) \) (c) \( 100(e+2) \) (...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=BGKPe_lLX24


Duration: 4:41
1 views
0

\[
\int_{0}^{1000} e^{x-[x]} d x
\]
(a) \( 1000(e+1) \)
(b) \( 1000(e-1) \)
(c) \( 100(e+2) \)
(d) \( 1000(e+5) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-09The value of \[ \lim _{n \rightarrow \infty} \frac{\left(1^{1}+2^{2}+\ldots+n^{2}\right)\left(1^...
2023-06-09\[ \sum_{r=1}^{n} \frac{1}{n} \ln \left(\frac{n+r}{r}\right) \] (a) \( 2 \ln 2-1 \) (b) \( 2 \ln...
2023-06-09\[ \int_{0}^{2000 \pi} \frac{d x}{1+e^{\sin x}} \] (a) \( 1000 \pi \) (b) \( 200 \pi \) (c) \( 9...
2023-06-09The value of definite integral \( \int_{-1}^{1}\left(\tan ^{-1}\left(\sin \left(\cos ^{-1} x\rig...
2023-06-09\[ \int_{-\pi / 2}^{\pi / 2}\left(\frac{1}{(2023)^{x}+1}\right) \cdot \frac{\sin ^{2022} x}{\sin...
2023-06-09\[ \int_{1}^{2}\left(\frac{e^{x}-e^{2 / x}}{x}\right) d x \] (a) 2 (b) 1 (c) 3
2023-06-09Evaluate \( \int_{0}^{\pi}\left[\cos ^{2}\left(\frac{3 \pi}{8}-\frac{x}{4}\right)-\cos ^{2}\left...
2023-06-09The value of \( \int_{-1}^{1}\left\{x^{2}+x-3\right\} d x \), where \( \{\cdot\} \) denotes the ...
2023-06-09\[ \int_{0}^{\pi / 4} \frac{x d x}{1+\cos 2 x+\sin 2 x} \] (a) \( \frac{\pi}{8} \ln 2 \) (b) \( ...
2023-06-09If \( z_{1}, z_{2}, z_{3} \) are the affixes of vertices of an equilateral triangle, then \( \in...
2023-06-09\[ \int_{0}^{1000} e^{x-[x]} d x \] (a) \( 1000(e+1) \) (b) \( 1000(e-1) \) (c) \( 100(e+2) \) (...
2023-06-09Find the indefinite integral \( \int\left(\frac{1}{\sqrt[3]{x}+\sqrt[4]{x}}+\frac{\ln (1+\sqrt[6...
2023-06-09\[ \int_{-x / 2}^{x / 2} \sqrt{\cos ^{2021} x-\cos ^{2023} x} d x \] (a) \( \frac{2}{2023} \) (b...
2023-06-09Evaluate \( \int_{0}^{1} \sqrt[2022]{1-x^{2023}} d x+\int_{1}^{0} \sqrt[2023]{1-x^{2022}} d x \)...
2023-06-09Evaluate \( \int_{-1}^{1}\left(\frac{d}{d x}\left(\frac{1}{1+e^{1 / x}}\right)\right) d x \) (a)...
2023-06-09Value of the definite integral \[ \int_{-1 / 2}^{1 / 2}\left(\sin ^{-1}\left(3 x-4 x^{3}\right)-...
2023-06-09The value of the integral \( \int_{-1}^{3}\left(\tan ^{-1} \frac{x}{x^{2}+1}+\tan ^{-1} \frac{x^...
2023-06-09The value of \( \int_{0+}^{1} \frac{x^{x}\left(x^{2 x}+1\right)(\ln x+1)}{x^{4 x}+1} d x \) (a) ...
2023-06-09The value of \( \int_{0}^{2}\left[x^{2}-x+1\right] d x \), where [.] denotes greatest integer fu...
2023-06-09The value of \( \int_{0}^{\pi / 16}\left(\frac{\sin x+\sin 2 x+\sin 3 x+\ldots \ldots+\sin 7 x}{...
2023-06-09If \( \int_{a}^{b}|\sin x| d x=8 \& \int_{0}^{a+b}|\cos x| d x=9 \) then; (a) \( a+b=9 \pi \) (b...