Integration – Page 46

Solve-A-particle-moves-along-the-space-curve-r-t-2-t-i-3t-2-j-2t-3-4t-2-k-find-a-velocity-b-speed-or-magnitude-of-velocity-c-acceleration-d-magnitude-of-acceleration-at-time-t-2-

Tinku Tara November 22, 2023 Integration 0 Comments

Question Number 200736 by Calculusboy last updated on 22/Nov/23 $S o l v e : A p a r t i c l e m o v e s a l o n g t h e s p a c e$ $c u r v e \underline{r} = (t^{2} + t) i + (3 t - 2) j + (2 t^{3} - 4 t^{2}) k .$ $f i n d$ $(a) v e l o c i t y$ $(b) s p e e d o r m a g n i t u d e o f v e l o c i t y$ $$\left(\boldsymbol{{c}}\right)\boldsymbol{{acceleration}} \…

Solve-The-position-vector-of-a-particle-at-any-time-t-is-given-by-r-acoswt-i-asinwt-j-bt-2-k-a-show-that-although-the-speed-of-the-particle-increases-with-time-the-magnitude-of-the-accelerati

Tinku Tara November 22, 2023 Integration 0 Comments

Question Number 200737 by Calculusboy last updated on 22/Nov/23 $S o l v e : T h e p o s i t i o n v e c t o r o f a p a r t i c l e a t a n y t i m e t$ $i s g i v e n b y \underline{r} = (a c o s w t) i + (a s i n w t) j + {b t}^{2} k$ $(a) s h o w t h a t, a l t h o u g h t h e s p e e d o f t h e p a r t i c l e$ $i n c r e a s e s w i t h t i m e, t h e m a g n i t u d e$ $o f t h e a c c e l e r a t i o n i s a l w a y s c o n s t a n t$ $(b) d e s c r i b e t h e m o t i o n o f t h e p a r t i c l e g e o m e t r i c a l l y$ Terms…

4pi-4pi-x-sin-2n-x-sin-2n-x-cos-2n-x-dx-

Tinku Tara November 21, 2023 Integration 0 Comments

Question Number 200684 by Spillover last updated on 21/Nov/23 $\int_{- 4 π}^{4 π} \frac{∣ x ∣ \sin^{2 n} x}{\sin^{2 n} x + \cos^{2 n} x} d x$ Answered by…

0-pi-4-ln-1-tanx-dx-

Tinku Tara November 21, 2023 Integration 0 Comments

Question Number 200685 by Spillover last updated on 21/Nov/23 $\int_{0}^{\frac{π}{4}} \ln (1 + \tan x) d x$ Answered by som(math1967) last updated on 22/Nov/23…

Question-200569

Tinku Tara November 20, 2023 Integration 0 Comments

Question Number 200569 by Rupesh123 last updated on 20/Nov/23 Answered by MM42 last updated on 20/Nov/23 $★ e = \underset{n = 0}{\sum^{\infty}} \frac{1}{n!} \Rightarrow \underset{n = 2}{\sum^{\infty}} \frac{1}{n!} = e - 2$ $$\sqrt{{x}\sqrt[{\mathrm{3}}]{{x}\sqrt[{\mathrm{4}}]{{x}\sqrt[{\mathrm{5}}]{\sqrt{{x}…}}}}}={x}^{\frac{\mathrm{1}}{\mathrm{2}}} ×{x}^{\frac{\mathrm{1}}{\mathrm{6}}} ×{x}^{\frac{\mathrm{1}}{\mathrm{24}}}…

Question-200570

Tinku Tara November 20, 2023 Integration 0 Comments

Question Number 200570 by Rupesh123 last updated on 20/Nov/23 Answered by witcher3 last updated on 20/Nov/23 $\sum_{n ⩾ 1} \frac{\sin (n)}{n} = Im {\sum_{n ⩾ 1} \frac{e^{in}}{n}}$ $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{N}} {\sum}}\mathrm{e}^{\mathrm{in}} =\frac{\mathrm{e}^{\mathrm{i}}…

Category: Integration

Solve-A-particle-moves-along-the-space-curve-r-t-2-t-i-3t-2-j-2t-3-4t-2-k-find-a-velocity-b-speed-or-magnitude-of-velocity-c-acceleration-d-magnitude-of-acceleration-at-time-t-2-

Solve-The-position-vector-of-a-particle-at-any-time-t-is-given-by-r-acoswt-i-asinwt-j-bt-2-k-a-show-that-although-the-speed-of-the-particle-increases-with-time-the-magnitude-of-the-accelerati

4pi-4pi-x-sin-2n-x-sin-2n-x-cos-2n-x-dx-

0-pi-4-ln-1-tanx-dx-

Question-200569

Question-200570

0-1-tan-1-x-1-x-dx-

Question-200604

Question-200605

Question-200601