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Question Number 45213 Answers: 3 Comments: 0

Find ∫(√(a^2 −tan^2 x)) dx (with a>0) (related to Q45187)

$${Find}\:\int\sqrt{{a}^{\mathrm{2}} −\mathrm{tan}^{\mathrm{2}} \:{x}}\:{dx}\:\left({with}\:{a}>\mathrm{0}\right) \\ $$$$\left({related}\:{to}\:{Q}\mathrm{45187}\right) \\ $$

Question Number 45211 Answers: 1 Comments: 0

Let A= (((1 3)),((2 5)) ). Find an expression for the enteries of A^n .

$$\mathrm{Let}\:\mathrm{A}=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\mathrm{3}}\\{\mathrm{2}\:\:\:\:\:\mathrm{5}}\end{pmatrix}.\:\mathrm{Find}\:\mathrm{an}\:\mathrm{expression}\: \\ $$$$\mathrm{for}\:\mathrm{the}\:\mathrm{enteries}\:\mathrm{of}\:\mathrm{A}^{\mathrm{n}} . \\ $$

Question Number 45208 Answers: 0 Comments: 1

Question Number 45204 Answers: 0 Comments: 2

Question Number 45201 Answers: 0 Comments: 6

find ∫ (dx/(√(1+x^3 )))

$${find}\:\int\:\:\frac{{dx}}{\sqrt{\mathrm{1}+{x}^{\mathrm{3}} }} \\ $$

Question Number 45206 Answers: 0 Comments: 1

Question Number 45205 Answers: 2 Comments: 0

Question Number 45192 Answers: 0 Comments: 0

To the developer, of tinkutara; Sir, since yesterday the app crashes when i go for any page other than the main ′sort by question id page′, please help, my phone is 2G compatible android old version, but the app had been running all nice before yesterday night.

$${To}\:{the}\:{developer},\:{of}\:{tinkutara}; \\ $$$${Sir},\:{since}\:{yesterday}\:{the} \\ $$$${app}\:{crashes}\:{when}\:{i}\:{go}\:{for} \\ $$$${any}\:{page}\:{other}\:{than}\:{the} \\ $$$${main}\:'{sort}\:{by}\:{question}\:{id}\:{page}', \\ $$$${please}\:{help},\:{my}\:{phone}\:{is}\:\mathrm{2}{G} \\ $$$${compatible}\:{android}\:{old}\:{version}, \\ $$$${but}\:{the}\:{app}\:{had}\:{been}\:{running}\:{all} \\ $$$${nice}\:{before}\:{yesterday}\:{night}. \\ $$

Question Number 45187 Answers: 1 Comments: 6

Question Number 45173 Answers: 0 Comments: 3

Question Number 45232 Answers: 1 Comments: 1

calculate ∫_0 ^1 ln(x)ln(1+x)dx .

$${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}\right){ln}\left(\mathrm{1}+{x}\right){dx}\:. \\ $$

Question Number 45231 Answers: 2 Comments: 1

find ∫ (√((x−1)(3−x)))dx

$${find}\:\int\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{3}−{x}\right)}{dx} \\ $$

Question Number 45225 Answers: 1 Comments: 0

solve for x 9^(x+1) +3^(2x+1) =36

$$\mathrm{solve}\:\mathrm{for}\:{x} \\ $$$$\mathrm{9}^{{x}+\mathrm{1}} +\mathrm{3}^{\mathrm{2}{x}+\mathrm{1}} =\mathrm{36} \\ $$

Question Number 45224 Answers: 1 Comments: 0

Question Number 45221 Answers: 1 Comments: 0

Find the divisors ; if any ; of 16000001

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{divisors}\:; \\ $$$$\mathrm{if}\:\mathrm{any}\:;\:\mathrm{of}\:\mathrm{16000001} \\ $$

Question Number 45155 Answers: 2 Comments: 1

Question Number 45151 Answers: 0 Comments: 2

Question Number 45166 Answers: 1 Comments: 0

Question Number 45165 Answers: 1 Comments: 0

Question Number 45164 Answers: 0 Comments: 6

Question Number 45163 Answers: 0 Comments: 0

Evaluate ∫_0 ^∞ ∫_0 ^t e^(−t) ((sinu)/u)du dt

$$\mathrm{Evaluate}\:\int_{\mathrm{0}} ^{\infty} \int_{\mathrm{0}} ^{\mathrm{t}} \mathrm{e}^{−\mathrm{t}} \frac{\mathrm{sinu}}{\mathrm{u}}\mathrm{du}\:\mathrm{dt} \\ $$

Question Number 45162 Answers: 0 Comments: 0

L{(t^2 +3t+2)H(t−1)+((sin 2t)/t)δ(t−(π/4))}

$$\mathrm{L}\left\{\left(\mathrm{t}^{\mathrm{2}} +\mathrm{3t}+\mathrm{2}\right)\mathrm{H}\left(\mathrm{t}−\mathrm{1}\right)+\frac{\mathrm{sin}\:\mathrm{2t}}{\mathrm{t}}\delta\left(\mathrm{t}−\frac{\pi}{\mathrm{4}}\right)\right\} \\ $$

Question Number 45160 Answers: 0 Comments: 0

L{(√(1+sin t))+∫_0 ^t cosht cost dt}

$$\mathrm{L}\left\{\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{t}}+\int_{\mathrm{0}} ^{\mathrm{t}} \mathrm{cosht}\:\mathrm{cost}\:\mathrm{dt}\right\} \\ $$

Question Number 45158 Answers: 0 Comments: 1

∫((e^(2x) −e^x +1)/((e^x sinx+cosx)(e^x cosx−sinx)))dx =?

$$\:\:\int\frac{{e}^{\mathrm{2}{x}} −{e}^{{x}} +\mathrm{1}}{\left({e}^{{x}} {sinx}+{cosx}\right)\left({e}^{{x}} {cosx}−{sinx}\right)}{dx}\:=? \\ $$

Question Number 45129 Answers: 1 Comments: 1

Question Number 45128 Answers: 1 Comments: 1

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