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IntegrationQuestion and Answers: Page 30

Question Number 185863 Answers: 1 Comments: 1

Question Number 185848 Answers: 1 Comments: 0

Question Number 185837 Answers: 0 Comments: 1

∫((cx+b^2 )/(2x))−((cx+2b^2 )/(4x))+(((cx)^2 +4b^2 )/(8x))dx=?

$\int \frac{c x + b^{2}}{2 x} - \frac{c x + 2 b^{2}}{4 x} + \frac{{(c x)}^{2} + 4 b^{2}}{8 x} d x = ?$

Question Number 185836 Answers: 4 Comments: 0

(1) ∫_0 ^1 (dx/(2x^4 −2x^2 +1))=? (2) ∫_0 ^∞ (x^(1/4) /(1+x^2 )) dx=?

$(1) \underset{0}{\int^{1}} \frac{d x}{2 x^{4} - 2 x^{2} + 1} = ?$ $(2) \underset{0}{\int^{\infty}} \frac{x^{1 / 4}}{1 + x^{2}} d x = ?$

Question Number 185799 Answers: 1 Comments: 1

Question Number 185754 Answers: 0 Comments: 0

Question Number 185677 Answers: 1 Comments: 0

Question Number 185484 Answers: 1 Comments: 0

Question Number 185455 Answers: 1 Comments: 0

∫ ((x^3 .e^x^2 )/((x^2 +1)^2 )) dx =?

$\int \frac{x^{3} . e^{x^{2}}}{{(x^{2} + 1)}^{2}} d x = ?$

Question Number 185451 Answers: 0 Comments: 2

Question Number 185284 Answers: 1 Comments: 0

Question Number 185104 Answers: 2 Comments: 0

Question Number 185058 Answers: 1 Comments: 0

Question Number 184988 Answers: 1 Comments: 0

Question Number 184925 Answers: 1 Comments: 1

Question Number 184552 Answers: 2 Comments: 0

I_1 =∫_0 ^∞ (((√(x+(√(x^2 +1))))/( (√(x^2 +1))))−((√2)/( (√x))))dx=? I_2 =∫_0 ^∞ (((√(x^2 +1))/( (√(x+(√(x^2 +1))))))−((√x)/( (√2))))dx=?

$I_{1} = \underset{0}{\int^{\infty}} (\frac{\sqrt{x + \sqrt{x^{2} + 1}}}{\sqrt{x^{2} + 1}} - \frac{\sqrt{2}}{\sqrt{x}}) d x = ?$ $I_{2} = \underset{0}{\int^{\infty}} (\frac{\sqrt{x^{2} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}} - \frac{\sqrt{x}}{\sqrt{2}}) d x = ?$

Question Number 184523 Answers: 2 Comments: 0

Question Number 184514 Answers: 1 Comments: 0

Question Number 184331 Answers: 0 Comments: 0

Question Number 184136 Answers: 0 Comments: 0

∫_0 ^(2nπ) max(sin x, sin^(−1) (sin x)) dx =? [ n∈ I ]

$\underset{0}{\int^{2 n π}} m a x (\sin x, \sin^{- 1} (\sin x)) d x = ?$ $[n \in I]$

Question Number 184112 Answers: 1 Comments: 1

∫ (dx/((x−1)^(5/6) (x+2)^(7/6) )) =?

$\int \frac{d x}{{(x - 1)}^{5 / 6} {(x + 2)}^{7 / 6}} = ?$

Question Number 184061 Answers: 1 Comments: 0

∫((sin^(−1) (√x)−cos^(−1) (√x))/(sin^(−1) (√x)+cos^(−1) (√x)))dx=?

$\int \frac{{s i n}^{- 1} \sqrt{x} - {c o s}^{- 1} \sqrt{x}}{{s i n}^{- 1} \sqrt{x} + {c o s}^{- 1} \sqrt{x}} d x = ?$

Question Number 183977 Answers: 3 Comments: 0

∫_0 ^( ∞) (dx/(x^8 +x^4 +1)) =?

$\int_{0}^{\infty} \frac{d x}{x^{8} + x^{4} + 1} = ?$

Question Number 183976 Answers: 1 Comments: 0

∫ ((sin x−(√(1+sin x)))/(cos x−(√(1+cos x)))) dx =?

$\int \frac{\sin x - \sqrt{1 + \sin x}}{\cos x - \sqrt{1 + \cos x}} d x = ?$

Question Number 183879 Answers: 0 Comments: 0

Question Number 183865 Answers: 1 Comments: 0

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