Integration – Page 155

Question-123768

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 123768 by oustmuchiya@gmail.com last updated on 28/Nov/20 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-123769

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 123769 by oustmuchiya@gmail.com last updated on 28/Nov/20 Commented by oustmuchiya@gmail.com last updated on 17/Dec/20 Terms of Service Privacy Policy Contact:…

advanced-calculus-prove-that-n-1-2n-1-4-n-2n-1-ln-2-euler-mascheroni-constant-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 123764 by mnjuly1970 last updated on 28/Nov/20 $\dots . a d v a n c e d c a l c u l u s \dots$ $p r o v e t h a t ::::$ $\underset{n = 1}{\sum^{\infty}} {\frac{ζ (2 n + 1)}{4^{n} (2 n + 1)}} = l n (2) - γ$ $γ :: e u l e r - m a s c h e r o n i$ $c o n s t a n t$ Answered by…

Question-123767

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 123767 by oustmuchiya@gmail.com last updated on 28/Nov/20 Answered by physicstutes last updated on 28/Nov/20 $s = 2 t + 3 \sin 2 t$ $(i) Initiat position occurs at t = 0 s$ $\Rightarrow s_{0} = 2 (0) + 3 \sin 2 (0)$ $$\:\:\:\:\:\:\boldsymbol{\mathrm{s}}_{\mathrm{0}} \:=\:\mathrm{0}\:\mathrm{m}…

Question-189293

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 189293 by Rupesh123 last updated on 14/Mar/23 Answered by Sutrisno last updated on 14/Mar/23 $\int_{0}^{\frac{π}{2}} \frac{{s i n}^{2} x}{\frac{1}{{s i n}^{2} x} + \frac{{c o s}^{2} x}{{s i n}^{2} x}} d x$ $$\int_{\mathrm{0}}…

0-1-x-x-dx-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 58222 by salahahmed last updated on 20/Apr/19 $\int_{0}^{1} x^{x} d x$ Commented by maxmathsup by imad last updated on 21/Apr/19 $${we}\:{have}\:{x}^{{x}}…

find-dx-x-2-x-x-2-2x-3-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 58220 by maxmathsup by imad last updated on 20/Apr/19 $f i n d \int \frac{d x}{(x^{2} + x) \sqrt{- x^{2} + 2 x + 3}}$ Answered by tanmay last updated on 20/Apr/19…

let-f-x-0-e-x-t-sin-xt-dt-with-x-gt-0-1-find-a-explicit-form-for-f-x-2-let-U-n-nf-n-find-lim-n-U-n-and-study-the-convergence-of-U-n-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 58212 by maxmathsup by imad last updated on 20/Apr/19 $l e t f (x) = \int_{0}^{\infty} e^{- x [t]} s i n (x t) d t w i t h x > 0$ $1) f i n d a e x p l i c i t f o r m f o r f (x)$ $2) l e t U_{n} = n f (n) f i n d {l i m}_{n \to + \infty} U_{n} a n d s t u d y t h e c o n v e r g e n c e o f Σ U_{n}$ Terms…

advanced-calculus-evaluation-of-0-pi-2-sin-x-log-sin-x-dx-by-using-the-euler-beta-and-gamma-function-p-1-2-2-0-pi-2-sin-2p-1-x-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 123745 by mnjuly1970 last updated on 27/Nov/20 $\dots a d v a n c e d c a l c u l u s \dots$ $e v a l u a t i o n o f :$ $Ω = \int_{0}^{\frac{π}{2}} s i n (x) l o g (s i n (x)) d x$ $b y u s i n g t h e e u l e r b e t a a n d g a m m a f u n c t i o n :$ $β (p, \frac{1}{2}) = 2 \int_{0}^{\frac{π}{2}} {s i n}^{2 p - 1} (x) d x$ $$\:\:\:\frac{{d}\beta\left({p},\frac{\mathrm{1}}{\mathrm{2}}\right)}{{dp}}\:=\mathrm{2}\int_{\mathrm{0}}…

0-pi-2-tan-x-1-3-1-sin-2x-dx-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 189266 by cortano12 last updated on 14/Mar/23 $\underset{0}{\int^{π / 2}} \frac{\sqrt[3]{\tan x}}{1 + \sin 2 x} dx = ?$ Answered by MJS_new last updated on 14/Mar/23 $\int \frac{\sqrt[3]{\tan x}}{1 + \sin 2 x} d x =$ $$\:\:\:\:\:\left[{t}=\sqrt[{\mathrm{3}}]{\mathrm{tan}\:{x}}\:\rightarrow\:{dx}=\mathrm{3cos}^{\mathrm{2}} \:{x}\:\sqrt[{\mathrm{3}}]{\mathrm{tan}^{\mathrm{2}}…

Category: Integration