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IntegrationQuestion and Answers: Page 138 |
calculate ∫_0 ^∞ (dx/(x^4 +ix^2 +2)) |
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∫ ((3x−2)/( (√(x^2 +2x+26)))) dx |
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∫ (dx/(3sin x+sin^3 x)) ? |
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calculate ∫_0 ^∞ (dx/(x^4 +2x^2 +3)) |
.... calculus.... Evaluate ::: I :=∫_0 ^( 1) (1/( (√(x(x+1)(x+2)(x+3)+1))−3x))dx=??? M.N.july 1970# |
∫_0 ^1 x^2 log(1−x)dx |
find the area bounded by the curve y^2 =x^3 and the lines x=0 y=1 and y=2 |
∫_0 ^1 (√(x(x−1)dx)) |
prove that _0 ∫^( ∞) cos(x^2 )dx = _0 ∫^( ∞) sin(x^2 )dx =((√π)/(2(√2))) |
∫(( tan x dx)/( (√(sec^3 x + 1)))) = ? |
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.... mathematical analysis.... please solve:: Ω =∫_(0 ) ^( ∞) ((x^(4/5) −x^(2/3) )/((1+x^2 )ln(x))) dx =??? ... m.n.july 1970...# |
∫ ((x−sin x)/(1−cos x)) dx ? |
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....calculus... evaluate i: ∫_0 ^( (π/2)) x(√( tan(x))) dx= ??? ii:∫_0 ^( ∞) ((ln(x))/(1+x^2 +x^4 ))dx =??? m.n.july 1970 |
∫ tan^(−1) ((√((1−x)/(x+1)))) dx ? |
(1) ∫ ((sin x e^(√(cos x)) )/( (√(cos x)))) dx (2) ((1+(√(1+sin 2A)))/(1−(√(1+sin 2A))))?? (3)∫ (dx/((x+b)(x^2 +a^2 ))) |
....number theory... Question : If a , b , c ∈ N ; then prove ::: a!∗b!∗c!∣(a+b+c)! m.n . july 970# |
.... calculus .... Please Evaluate ::: Ω = ∫_0 ^(π/2) ((x/(sin(x))))^2 dx =??? M.N.july 1970# |
∫(((cos(x)))^(1/3) /(cos(x)))dx |
∫((ln(1+x)dx)/((1+x^2 ))) |
∫ ((sin 2x)/( (√(1+cos^2 x)))) dx |
calculate ∫_0 ^1 ((ln(1+x^2 ))/(1+x^3 )) dx |
Pg 133 Pg 134 Pg 135 Pg 136 Pg 137 Pg 138 Pg 139 Pg 140 Pg 141 Pg 142 |