Integration – Page 722

Evaluate-0-te-3t-cos-t-dt-

Tinku Tara June 3, 2023 Integration

Question Number 307 by userid1 last updated on 25/Jan/15 $Evaluate \underset{0}{\int^{\infty}} {t e}^{- 3 t} \cos t d t$ Commented by 123456 last updated on 20/Dec/14 $$\underset{\mathrm{0}} {\overset{\infty} {\int}}{te}^{−\mathrm{3}{t}}…

x-y-gt-0-B-x-y-0-1-t-x-1-1-t-y-1-dt-x-0-t-x-1-e-t-dt-1-show-that-x-gt-0-x-1-x-x-and-lim-n-gt-x-x-1-x-n-n-x-n-1-x-

Tinku Tara June 3, 2023 Integration

Question Number 65834 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $\forall x, y > 0 B (x, y) = \int_{0}^{1} t^{x - 1} {(1 - t)}^{y - 1} d t Γ (x) = \int_{0}^{\infty} t^{x - 1} e^{- t} d t$ $$\left.\mathrm{1}\right)\:{show}\:{that}\:\:\forall\:{x}>\mathrm{0}\:\:\:\:\Gamma\left({x}+\mathrm{1}\right)={x}\Gamma\left({x}\right)\:\:\:\:{and}\:\:{lim}_{{n}−>\infty}…

1-calculate-dx-1-ix-and-dx-1-ix-2-deduce-the-value-of-dx-1-x-2-3-calculate-dx-1-ix-2-and-dx-1-ix-2-4-deduce-the-value

Tinku Tara June 3, 2023 Integration

Question Number 65837 by mathmax by abdo last updated on 04/Aug/19 $1) c a l c u l a t e \int_{- \infty}^{\infty} \frac{d x}{1 + i x} a n d \int_{- \infty}^{\infty} \frac{d x}{1 - i x}$ $2) d e d u c e t h e v a l u e o f \int_{- \infty}^{\infty} \frac{d x}{1 + x^{2}}$ $$\left.\mathrm{3}\right){calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{{dx}}{\mathrm{1}+{ix}^{\mathrm{2}}…

Let-go-toward-a-rational-order-of-derivation-Part-1-What-s-that-special-factor-Let-n-p-and-k-three-integer-different-of-zero-We-state-J-n-k-p-0-1-1-x-n-p-k-n-dx-and-C-n-

Tinku Tara June 3, 2023 Integration

Question Number 65828 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $L e t g o t o w a r d a r a t i o n a l o r d e r o f d e r i v a t i o n$ $P a r t 1 : {W h a t}^{'} s t h a t s p e c i a l f a c t o r$ $L e t n, p a n d k t h r e e i n t e g e r d i f f e r e n t o f z e r o$ $${We}\:\:{state}\:{J}_{{n},{k}} \left({p}\right)=\int_{\mathrm{0}} ^{\mathrm{1}}…

How-can-I-calculate-the-volume-of-a-region-bounded-by-y-x-2-3-x-1-and-x-2-rotating-about-the-y-7-using-the-shell-method-

Tinku Tara June 3, 2023 Integration

Question Number 131364 by EDWIN88 last updated on 04/Feb/21 $How can I calculate the volume$ $of a region bounded by y = x^{2} + 3; x = 1$ $and x = 2 rotating about the y = 7 using$ $the shell method .$ Answered by bramlexs22 last…

Prove-that-0-1-1-6-5-6-dv-1-v-u-v-du-ln2-2ln-3-1-

Tinku Tara June 3, 2023 Integration

Question Number 65827 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $P r o v e t h a t$ $\int_{0}^{1} (\int_{\frac{1}{6}}^{\frac{5}{6}} \frac{d v}{{(1 -^{v} \sqrt{u})}^{v}}) d u = l n 2 - 2 l n (\sqrt{3} - 1)$ …

let-consider-two-real-numbers-p-and-such-as-p-2-q-2-pq-Prove-that-J-0-dv-q-1-q-v-p-p-1-

Tinku Tara June 3, 2023 Integration

Question Number 65825 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $l e t c o n s i d e r t w o r e a l n u m b e r s p a n d s u c h a s p^{2} - q^{2} = p q$ $P r o v e t h a t$ $$\:\:\:{J}=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dv}}{\:^{{q}} \sqrt{\left(\mathrm{1}+\:^{{q}} \sqrt{{v}^{{p}}…

Prove-that-I-n-0-pi-2-dt-1-tant-n-does-not-depend-of-the-term-n-deduces-that-0-dx-x-2035-1-x-2-1-pi-4-

Tinku Tara June 3, 2023 Integration

Question Number 65805 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $P r o v e t h a t I_{n} = \int_{0}^{\frac{π}{2}} \frac{d t}{1 + {(t a n t)}^{n}} d o e s n o t d e p e n d o f t h e t e r m n$ $d e d u c e s t h a t$ $$\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2035}}…

If-0-x-f-t-dt-x-x-1-tf-t-dt-then-find-the-value-of-f-1-

Tinku Tara June 3, 2023 Integration

Question Number 261 by raj last updated on 25/Jan/15 $If \underset{0}{\int^{x}} f (t) d t = x + \underset{x}{\int^{1}} t f (t) d t, then find the value$ $of f (1) .$ Answered by prakash jain last updated on…

1-1-1-x-dx-

Tinku Tara June 3, 2023 Integration

Question Number 260 by 9999 last updated on 25/Jan/15 $\int_{- 1}^{+ 1} ∣ 1 - x ∣ d x =$ Answered by 123456 last updated on 17/Dec/14 $∣ 1 - x ∣= {\begin{cases} 1 - x & x ⩽ 1 \\ x - 1 & x ⩾ 1 \end{cases}$ $$\int_{−\mathrm{1}} ^{+\mathrm{1}}…

Category: Integration