Frequent Indefinite Integration Questions

Tell me somebody how to integrate this How to integrate dv/ v2+ 2v,??? ...

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∫ dx/cosx + cosec x ∫ 3cot3x - cotx/tanx - 3tan3x ∫tan{x -k}tan{x+k}tan2x ...

∫√(sin x-sin3x/1-sin 3x)dx ...

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∫(x3m+x2m+xm)(2x2m+3xm+6)1/mdx .For any natural no. m, x>0. ...

∫sec2x/(secx+tanx)9/2 ...

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Int. x^2 dx/(x^2 + bx +12) ...

1 ∫cosx-sinx/ sin2x 2∫sinx/(1-sinx)0.5 ...

√((1-√x)/(1+√x)) ...

∫sin(4x)etan2x ...

∫sin(4x)etan2x ...

∫√cotx+√tanx ...

∫x2/√1-x4dx ...

(A) ∫1/ cos6(x) + sin6(x) (B) ...

(a) )\int 1/COS^{6}(x)) + SIN^{6}(X)) ...

(A) ∫dx/ sin11xcosx (B) ∫ cos3x/sin11x please show the steps ...

If ∫f(x)sinxcosxdx=lnf(x)/(b2 -a2) +c then f(x)=? ...

Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...

Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...

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If x is a +ve number then , ∫ xπ /x-1 dx ...

∫ x2/x4+x2-2 dx ...

√(tanx+2)dx ...

∫x6 / 1+x5 dx ∫x / 1+x5 dx ...

∫dx/sin2x+tan2x ...