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Integration Formulas for Class 12 – Indefinite Integration

Here you will learn Integration integration formulas for class 12.

Let’s begin –

Integration Formula for Class 12

(i)  (ax+b)n dx = (ax+b)n+1a(n+1) + C ; n -1

(ii)  dxax+b dx = 1a ln|ax+b| + C

(iii)  eax+b dx = 1aeax+b + C or ex = ex + C

(iv)  apx+q dx = 1p apx+qlna + C, (a > 0)

(v)  sinx dx = -cosx + C

(vi)  cosx dx = sinx + C

(vii)    tanx dx = ln|secx| + C

(viii)  cotx dx = ln|sinx| + C

(ix)  sec2x dx = tanx + C

(x)  cosec2x dx = -cotx + C

(xi)  cosecx.cotx dx = -cosecx + C

(xii)  secx.tanx dx = secx + C

(xiii)  secx dx = ln|secx+tanx| + C = ln|tan(π4 + x2)| + C

(xiv)  cosecx dx = ln|cosecx-cotx| + C = ln|tanx2| = -ln|cosecx+cotx| + C

(xv)  dxa2x2 = sin1xa + C

(xvi)  dxa2+x2 = 1a tan1xa + C

(xvii)  dxxx2a2 = 1a sec1xa + C

(xviii) dxx2+a2 = ln[x+x2+a2] + C

(xix)  dxx2a2 = ln[x+x2a2] + C

(xx)  dxa2x2 = 12a ln|a+xax| + C

(xxi)  dxx2a2 = 12a ln|xax+a| + C

(xxii)  a2x2 dx = x2a2x2 + a22 sin1xa + C

(xxii)  x2+a2 dx = x2x2+a2 + a22 ln[x+x2+a2] + C

(xxii)  x2a2 dx = x2x2a2a22 ln[x+x2a2] + C

Hope you learnt integration formulas for class 12, learn more concepts of integration and practice more questions to get ahead in competition. Good Luck!

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