3.1 Integrals 1 to 33

  3.1.1 \(\int \genfrac {}{}{}{}{x^3 (a+b \text {ArcCos}(c x))}{d-c^2 d x^2} \, dx\) [1]
  3.1.2 \(\int \genfrac {}{}{}{}{x^2 (a+b \text {ArcCos}(c x))}{d-c^2 d x^2} \, dx\) [2]
  3.1.3 \(\int \genfrac {}{}{}{}{x (a+b \text {ArcCos}(c x))}{d-c^2 d x^2} \, dx\) [3]
  3.1.4 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{d-c^2 d x^2} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x (d-c^2 d x^2)} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x^2 (d-c^2 d x^2)} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x^3 (d-c^2 d x^2)} \, dx\) [7]
  3.1.8 \(\int \genfrac {}{}{}{}{x^4 (a+b \text {ArcCos}(c x))}{(d-c^2 d x^2)^2} \, dx\) [8]
  3.1.9 \(\int \genfrac {}{}{}{}{x^3 (a+b \text {ArcCos}(c x))}{(d-c^2 d x^2)^2} \, dx\) [9]
  3.1.10 \(\int \genfrac {}{}{}{}{x^2 (a+b \text {ArcCos}(c x))}{(d-c^2 d x^2)^2} \, dx\) [10]
  3.1.11 \(\int \genfrac {}{}{}{}{x (a+b \text {ArcCos}(c x))}{(d-c^2 d x^2)^2} \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{(d-c^2 d x^2)^2} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x (d-c^2 d x^2)^2} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x^2 (d-c^2 d x^2)^2} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{a+b \text {ArcCos}(c x)}{x^3 (d-c^2 d x^2)^2} \, dx\) [15]
  3.1.16 \(\int x^3 (d+e x^2) (a+b \text {ArcCos}(c x)) \, dx\) [16]
  3.1.17 \(\int x^2 (d+e x^2) (a+b \text {ArcCos}(c x)) \, dx\) [17]
  3.1.18 \(\int x (d+e x^2) (a+b \text {ArcCos}(c x)) \, dx\) [18]
  3.1.19 \(\int (d+e x^2) (a+b \text {ArcCos}(c x)) \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \text {ArcCos}(c x))}{x} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \text {ArcCos}(c x))}{x^2} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \text {ArcCos}(c x))}{x^3} \, dx\) [22]
  3.1.23 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \text {ArcCos}(c x))}{x^4} \, dx\) [23]
  3.1.24 \(\int (c+d x^2)^2 \text {ArcCos}(a x) \, dx\) [24]
  3.1.25 \(\int (c+d x^2)^3 \text {ArcCos}(a x) \, dx\) [25]
  3.1.26 \(\int (c+d x^2)^4 \text {ArcCos}(a x) \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{c+d x^2} \, dx\) [27]
  3.1.28 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{(c+d x^2)^2} \, dx\) [28]
  3.1.29 \(\int \sqrt {c+d x^2} \text {ArcCos}(a x) \, dx\) [29]
  3.1.30 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{\sqrt {c+d x^2}} \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{(c+d x^2)^{3/2}} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{(c+d x^2)^{5/2}} \, dx\) [32]
  3.1.33 \(\int \genfrac {}{}{}{}{\text {ArcCos}(a x)}{(c+d x^2)^{7/2}} \, dx\) [33]