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IntegrationQuestion and Answers: Page 158

Question Number 100189    Answers: 1   Comments: 0

∫tan^i xdx

tanixdx

Question Number 100114    Answers: 1   Comments: 0

Question Number 100089    Answers: 0   Comments: 0

calculate A_n =∫_0 ^(π/2) ((sin^n (x))/(sin(nx)))dx

calculateAn=0π2sinn(x)sin(nx)dx

Question Number 100088    Answers: 1   Comments: 1

calculate ∫ ((cosx)/(cos(3x)))dx

calculatecosxcos(3x)dx

Question Number 100054    Answers: 1   Comments: 0

I_(n,m) =∫_0 ^1 ∫_0 ^1 (((ln(x))^n (ln(y))^m )/(1−xy))dx dy

In,m=0101(ln(x))n(ln(y))m1xydxdy

Question Number 100047    Answers: 2   Comments: 0

∫_0 ^1 e^(−x^2 ) dx

01ex2dx

Question Number 100026    Answers: 1   Comments: 0

∫_0 ^(π/2) e^(−sec^2 θ) dθ

0π2esec2θdθ

Question Number 99831    Answers: 0   Comments: 0

solve the ds { ((x^′ +2y^′ =sint)),((3x^′ +y^′ =te^t )) :}

solvetheds{x+2y=sint3x+y=tet

Question Number 99824    Answers: 1   Comments: 0

calculate ∫_0 ^1 xe^(−x^2 ) arctan((2/x))dx

calculate01xex2arctan(2x)dx

Question Number 99820    Answers: 0   Comments: 0

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

calculate0x2dx(x4x2+1)2

Question Number 99818    Answers: 2   Comments: 0

∫_0 ^1 ln(1+(1/(n^2 x^2 )))dx

01ln(1+1n2x2)dx

Question Number 99779    Answers: 1   Comments: 2

Question Number 99707    Answers: 4   Comments: 1

∫_(−∞) ^∞ e^(−x^2 ) dx=?

ex2dx=?

Question Number 99679    Answers: 0   Comments: 1

Question Number 99578    Answers: 2   Comments: 0

1)calculate U_n =∫_0 ^∞ e^(−nx^4 ) dx and determine lim_(n→+∞) n^4 U_n 2) find nature of the serie Σ U_n

1)calculateUn=0enx4dxanddeterminelimn+n4Un2)findnatureoftheserieΣUn

Question Number 99576    Answers: 2   Comments: 0

1)let f(a) =∫_0 ^∞ (( t^(a−1) ln(t))/(1+t)) dt with 0<a<1 prove that f(a)is convergent and determine it value 2)calculate∫_0 ^∞ ((lnt)/((1+t)(√t)))dt 3)calculate∫_0 ^∞ ((lnt)/((^3 (√t^2 ))(1+t)))dt

1)letf(a)=0ta1ln(t)1+tdtwith0<a<1provethatf(a)isconvergentanddetermineitvalue2)calculate0lnt(1+t)tdt3)calculate0lnt(3t2)(1+t)dt

Question Number 99557    Answers: 1   Comments: 0

Λ=∫_0 ^1 (Li_2 ((1/(1+x)))+Li_3 ((x/(1+x)))+Li_4 (((x+1)/(x^2 +x+1))))dx Li_n (z)=polylogarithm function. by adeyemi.

Λ=01(Li2(11+x)+Li3(x1+x)+Li4(x+1x2+x+1))dxLin(z)=polylogarithmfunction.byadeyemi.

Question Number 99541    Answers: 3   Comments: 0

∫_(−∞) ^∞ e^(−2x^2 −5x−3) dx=? help me

e2x25x3dx=?helpme

Question Number 99536    Answers: 0   Comments: 0

∫tan^(πi) xdx

tanπixdx

Question Number 99516    Answers: 1   Comments: 0

Question Number 99504    Answers: 4   Comments: 0

Question Number 99496    Answers: 1   Comments: 0

convergence radius of Σ_(n∈N) 2^n z^(n!)

convergenceradiusofnN2nzn!

Question Number 99421    Answers: 0   Comments: 0

Question Number 99413    Answers: 1   Comments: 0

∫_0 ^(+∞) ((sin(ax))/(e^(2πx) −1))dx

0+sin(ax)e2πx1dx

Question Number 99403    Answers: 1   Comments: 1

∫ x^x dx

xxdx

Question Number 99326    Answers: 1   Comments: 0

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