3.25 Integrals 2401 to 2466

  3.25.1 \(\int (a+b (c x^n)^{\frac {1}{n}}) \, dx\)
  3.25.2 \(\int (a+b (c x^n)^{\frac {1}{n}})^2 \, dx\)
  3.25.3 \(\int (a+b (c x^n)^{\frac {1}{n}})^3 \, dx\)
  3.25.4 \(\int \frac {x^3}{a+b (c x^n)^{\frac {1}{n}}} \, dx\)
  3.25.5 \(\int \frac {x^2}{a+b (c x^n)^{\frac {1}{n}}} \, dx\)
  3.25.6 \(\int \frac {x}{a+b (c x^n)^{\frac {1}{n}}} \, dx\)
  3.25.7 \(\int \frac {1}{a+b (c x^n)^{\frac {1}{n}}} \, dx\)
  3.25.8 \(\int \frac {1}{x (a+b (c x^n)^{\frac {1}{n}})} \, dx\)
  3.25.9 \(\int \frac {1}{x^2 (a+b (c x^n)^{\frac {1}{n}})} \, dx\)
  3.25.10 \(\int \frac {1}{x^3 (a+b (c x^n)^{\frac {1}{n}})} \, dx\)
  3.25.11 \(\int \frac {x^3}{(a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.12 \(\int \frac {x^2}{(a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.13 \(\int \frac {x}{(a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.14 \(\int \frac {1}{(a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.15 \(\int \frac {1}{x (a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.16 \(\int \frac {1}{x^2 (a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.17 \(\int \frac {1}{x^3 (a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.18 \(\int \frac {1}{(a+b (c x^n)^{\frac {1}{n}})^3} \, dx\)
  3.25.19 \(\int \frac {x}{(1+(x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.20 \(\int x^3 (a+b (c x^n)^{\frac {1}{n}})^p \, dx\)
  3.25.21 \(\int x^2 (a+b (c x^n)^{\frac {1}{n}})^p \, dx\)
  3.25.22 \(\int x (a+b (c x^n)^{\frac {1}{n}})^p \, dx\)
  3.25.23 \(\int (a+b (c x^n)^{\frac {1}{n}})^p \, dx\)
  3.25.24 \(\int (a+b (c x^n)^{2/n})^3 \, dx\)
  3.25.25 \(\int (a+b (c x^n)^{2/n})^2 \, dx\)
  3.25.26 \(\int (a+b (c x^n)^{2/n}) \, dx\)
  3.25.27 \(\int \frac {1}{a+b (c x^n)^{2/n}} \, dx\)
  3.25.28 \(\int \frac {1}{(a+b (c x^n)^{2/n})^2} \, dx\)
  3.25.29 \(\int \frac {1}{(a+b (c x^n)^{2/n})^3} \, dx\)
  3.25.30 \(\int \frac {1}{1+4 \sqrt {x^4}} \, dx\)
  3.25.31 \(\int \frac {1}{1-4 \sqrt {x^4}} \, dx\)
  3.25.32 \(\int \frac {1}{1+4 \sqrt [3]{x^6}} \, dx\)
  3.25.33 \(\int \frac {1}{1-4 \sqrt [3]{x^6}} \, dx\)
  3.25.34 \(\int \frac {1}{1+4 (x^{2 n})^{\frac {1}{n}}} \, dx\)
  3.25.35 \(\int \frac {1}{1-4 (x^{2 n})^{\frac {1}{n}}} \, dx\)
  3.25.36 \(\int (a+b (c x^n)^{3/n})^3 \, dx\)
  3.25.37 \(\int (a+b (c x^n)^{3/n})^2 \, dx\)
  3.25.38 \(\int (a+b (c x^n)^{3/n}) \, dx\)
  3.25.39 \(\int \frac {1}{a+b (c x^n)^{3/n}} \, dx\)
  3.25.40 \(\int \frac {1}{(a+b (c x^n)^{3/n})^2} \, dx\)
  3.25.41 \(\int \frac {1}{(a+b (c x^n)^{3/n})^3} \, dx\)
  3.25.42 \(\int \sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x^2 \, dx\)
  3.25.43 \(\int \sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x \, dx\)
  3.25.44 \(\int \sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} \, dx\)
  3.25.45 \(\int \frac {\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}}{x} \, dx\)
  3.25.46 \(\int \frac {\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}}{x^2} \, dx\)
  3.25.47 \(\int \frac {\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}}{x^3} \, dx\)
  3.25.48 \(\int \frac {\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}}{x^4} \, dx\)
  3.25.49 \(\int \frac {x^2}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}} \, dx\)
  3.25.50 \(\int \frac {x}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}} \, dx\)
  3.25.51 \(\int \frac {1}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}}} \, dx\)
  3.25.52 \(\int \frac {1}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x} \, dx\)
  3.25.53 \(\int \frac {1}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x^2} \, dx\)
  3.25.54 \(\int \frac {1}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x^3} \, dx\)
  3.25.55 \(\int \frac {1}{\sqrt {a+b \sqrt {\frac {d}{x}}+\frac {c}{x}} x^4} \, dx\)
  3.25.56 \(\int \sqrt {\sqrt {\frac {1}{x}}+\frac {1}{x}} \, dx\)
  3.25.57 \(\int \sqrt {2+\sqrt {\frac {1}{x}}+\frac {1}{x}} \, dx\)
  3.25.58 \(\int (c x^n)^{\frac {1}{n}} (a+b (c x^n)^{\frac {1}{n}})^p \, dx\)
  3.25.59 \(\int (c x^n)^{\frac {1}{n}} (a+b (c x^n)^{\frac {1}{n}})^3 \, dx\)
  3.25.60 \(\int (c x^n)^{\frac {1}{n}} (a+b (c x^n)^{\frac {1}{n}})^2 \, dx\)
  3.25.61 \(\int (c x^n)^{\frac {1}{n}} (a+b (c x^n)^{\frac {1}{n}}) \, dx\)
  3.25.62 \(\int \frac {(c x^n)^{\frac {1}{n}}}{a+b (c x^n)^{\frac {1}{n}}} \, dx\)
  3.25.63 \(\int \frac {(c x^n)^{\frac {1}{n}}}{(a+b (c x^n)^{\frac {1}{n}})^2} \, dx\)
  3.25.64 \(\int \frac {(c x^n)^{\frac {1}{n}}}{(a+b (c x^n)^{\frac {1}{n}})^3} \, dx\)
  3.25.65 \(\int \frac {(c x^n)^{\frac {1}{n}}}{(a+b (c x^n)^{\frac {1}{n}})^4} \, dx\)
  3.25.66 \(\int \frac {(c x^n)^{\frac {1}{n}}}{(a+b (c x^n)^{\frac {1}{n}})^5} \, dx\)