Geometry – Page 304

sec-3-xdx-

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Question Number 495 by 13/NaSaNa(N)056565 last updated on 25/Jan/15 $\int \sec^{3} x d x$ Answered by prakash jain last updated on 15/Jan/15 $\tan x = t$ $$\mathrm{sec}^{\mathrm{2}} {x}\:{dx}={dt}…

e-x-sin-2x-dx-

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Question Number 497 by 13/NaSaNa(N)056565 last updated on 25/Jan/15 $\int e^{x} \sin 2 x d x$ Answered by prakash jain last updated on 16/Jan/15 $Integrate by parts$ $${I}=\int{e}^{{x}} \mathrm{sin}\:\mathrm{2}{x}\:{dx}…

1-1-2x-dx-

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Question Number 487 by 13/NaSaNa(N)056565 last updated on 25/Jan/15 $\int \frac{1}{1 + \sqrt{2 x}} d x$ Answered by prakash jain last updated on 14/Jan/15 $x = 2 t^{2}$ $d x = 4 t d t$ $$\int\frac{\mathrm{1}}{\mathrm{1}+\sqrt{\mathrm{2}{x}}}\:{dx}=\int\:\frac{\mathrm{4}{tdt}}{\mathrm{1}+\mathrm{2}{t}}…

1-x-1-dx-

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Question Number 483 by 13/NaSaNa(N)056565 last updated on 25/Jan/15 $\int \frac{1}{\sqrt{x - 1}} d x$ Answered by 123456 last updated on 12/Jan/15 $\int \frac{d x}{\sqrt{x - 1}}$ $${u}={x}−\mathrm{1} \…

proof-or-given-a-counter-example-for-s-2-3-4-5-i-1-n-1-s-i-1-i-i-s-i-1-n-s-1-si-s-

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Question Number 480 by 123456 last updated on 11/Jan/15 $p r o o f o r g i v e n a c o u n t e r e x a m p l e :$ $f o r s \in {2, 3, 4, 5}$ $\underset{i = 1}{\sum^{n}} [\frac{1}{s^{i}} - \frac{{(- 1)}^{i}}{i^{s}}] ⩽ \underset{i = 1}{\sum^{n}} \frac{s + 1}{{s i}^{s}}$ Commented…

proof-or-give-a-counter-example-if-nm-is-prime-then-mdc-n-2-m-2-1-

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Question Number 472 by 123456 last updated on 25/Jan/15 $p r o o f o r g i v e a c o u n t e r - e x a m p l e :$ $i f n m i s p r i m e t h e n mdc (n^{2}, m^{2}) = 1$ Answered by prakash jain last updated on 10/Jan/15 $$\mathrm{If}\:{n},{m}\:\in\mathbb{Z}\:\mathrm{then}\:{n}=\mathrm{1}\:\mathrm{or}\:{m}=\mathrm{1}…

A-particle-moves-with-a-central-acceration-varies-as-the-cube-of-the-distance-if-it-be-projected-from-an-apse-at-distance-a-from-the-origin-with-a-velocity-which-is-2-times-the-velocity-for-a-c

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Question Number 465 by shubham last updated on 09/Jan/15 $A p a r t i c l e m o v e s w i t h a c e n t r a l a c c e r a t i o n v a r i e s a s t h e c u b e o f t h e d i s t a n c e . i f i t b e p r o j e c t e d f r o m a n a p s e a t d i s t a n c e a f r o m t h e o r i g i n w i t h a v e l o c i t y w h i c h i s \sqrt{2} t i m e s t h e v e l o c i t y f o r a c i r c l e o f r a d i u s a . s h o w t h a t t h e e q u a t i o n o f p a t h i s i t s r \cos θ / \sqrt{2} = a$ Commented by prakash jain last updated on 09/Jan/15 $Reformatted$ $A p a r t i c l e m o v e s w i t h a c e n t r a l$ $${acceration}\:{varies}\:{as}\:{the}\:{cube}\:…

Question-131534

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Question Number 131534 by mr W last updated on 06/Feb/21 Commented by mr W last updated on 05/Feb/21 $f i n d t h e r a d i i o f t h e i n s c r i b i n g a n d$ $t h e c i r c u m s c r i b i n g s p h e r e o f a$ $t e t r a h e d r o n w i t h e d g e l e n g t h e s a, b, c,$ $${p},{q},{r}\:{as}\:{shown}.…

Question-65980

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Question Number 65980 by Tony Lin last updated on 07/Aug/19 Commented by Tanmay chaudhury last updated on 07/Aug/19 Answered by Tanmay chaudhury last updated on…

cos-x-dx-

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Question Number 435 by novrya last updated on 03/Jan/15 $\int \sqrt{c o s x} d x = \dots .$ Commented by 123456 last updated on 03/Jan/15 $2 E (\frac{x}{2} ∣ 2) + C$ Commented…

Category: Geometry