Integration – Page 873

Question-66938

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Question Number 66938 by Cmr 237 last updated on 20/Aug/19 Commented by mathmax by abdo last updated on 21/Aug/19 $8) b y p a r t s \int l n (1 + x^{2}) d x = x l n (1 + x^{2}) - \int x \frac{2 x}{1 + x^{2}} d x$ $$={xln}\left(\mathrm{1}+{x}^{\mathrm{2}}…

Question-132469

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Question Number 132469 by Algoritm last updated on 14/Feb/21 Answered by Olaf last updated on 15/Feb/21 $Let Ω_{i} = \int_{0}^{1} \sqrt{x_{i} (1 - \ln x_{i})} {d x}_{i}$ $$\mathrm{Let}\:{u}_{{i}} \:=\:\mathrm{1}−\mathrm{ln}{x}_{{i}}…

Given-a-b-x-2-3x-x-3-dx-11-2-where-a-lt-3-lt-b-a-2b-8-Find-a-b-x-dx-

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Question Number 132463 by EDWIN88 last updated on 14/Feb/21 $Given \int_{a}^{b} \frac{x^{2} - 3 x}{∣ x - 3 ∣} dx = \frac{11}{2} where {\begin{cases} a < 3 < b \\ a + 2 b = 8 \end{cases}$ $Find \int_{a}^{b} ∣ x ∣ dx .$ Answered by bemath last updated on…

Evaluate-the-following-integral-I-pi-4-pi-2-cos2x-sin2x-ln-cosx-sinx-dx-

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Question Number 1350 by 112358 last updated on 24/Jul/15 $E v a l u a t e t h e f o l l o w i n g i n t e g r a l :$ $I = \int_{π / 4}^{π / 2} (c o s 2 x + s i n 2 x) l n (c o s x + s i n x) d x$ Commented by prakash jain last updated on 25/Jul/15 $$\int\mathrm{sin}\:\mathrm{2}{x}\mathrm{ln}\:\left(\mathrm{cos}\:{x}+\mathrm{sin}\:{x}\right){dx}…

Question-132414

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Question Number 132414 by john_santu last updated on 14/Feb/21 Commented by john_santu last updated on 14/Feb/21 $\underset{―}{super nice integral}$ Answered by liberty last updated on…

0-dx-x-4-x-2-1-2-

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Question Number 132410 by bramlexs22 last updated on 14/Feb/21 $\int_{0}^{\infty} \frac{dx}{{(x^{4} - x^{2} + 1)}^{2}}$ Answered by EDWIN88 last updated on 14/Feb/21 $$\mathrm{I}=\int_{\mathrm{0}}…

I-e-cos-1-x-dx-

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Question Number 132392 by physicstutes last updated on 14/Feb/21 $I = \int e^{\cos^{- 1} x} d x = ?$ Terms of Service Privacy Policy Contact: info@tinkutara.com

0-pi-2-sin-nx-sinx-dx-

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Question Number 132376 by Ar Brandon last updated on 13/Feb/21 $\int_{0}^{\frac{π}{2}} \frac{\sin (nx)}{sinx} dx$ Terms of Service Privacy Policy Contact: info@tinkutara.com

let-x-gt-0-and-f-x-1-2-t-1-t-2-2xt-1-dt-1-find-a-explicit-form-of-f-x-2-determine-also-g-x-1-2-t-2-t-t-2-2xt-1-dt-3-find-the-value-of-integrals-1-2-t-1-t-2-t-1-dt

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Question Number 66816 by mathmax by abdo last updated on 20/Aug/19 $l e t x > 0 a n d f (x) = \int_{1}^{2} (t + 1) \sqrt{t^{2} - 2 x t - 1} d t$ $1) f i n d a e x p l i c i t f o r m o f f (x)$ $2) d e t e r m i n e a l s o g (x) = \int_{1}^{2} \frac{t^{2} + t}{\sqrt{t^{2} - 2 x t - 1}} d t$ $$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{of}\:{integrals}\:\:\int_{\mathrm{1}}…

Let-consider-an-integer-serie-a-n-x-n-given-by-a-n-H-n-k-1-n-1-k-1-Find-out-the-largest-domain-D-of-convergence-of-that-integer-serie-2-x-D-explicit-the-sum-S-x-of-the-a-n-x-n

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Question Number 66814 by ~ À ® @ 237 ~ last updated on 20/Aug/19 $L e t c o n s i d e r a n i n t e g e r s e r i e {a_{n} x^{n}} g i v e n b y a_{n} = H_{n} = \underset{k = 1}{\sum^{n}} \frac{1}{k}$ $1) F i n d o u t t h e l a r g e s t d o m a i n D o f c o n v e r g e n c e o f t h a t i n t e g e r s e r i e$ $$\left.\mathrm{2}\right)\:\forall\:{x}\in{D}\:\:,\:{explicit}\:{the}\:{sum}\:{S}\left({x}\right)\:{of}\:{the}\:\left\{{a}_{{n}}…

Category: Integration