3.15 Integrals 1401 to 1500

  3.15.1 \(\int \frac {1}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.15.2 \(\int \frac {1}{(a+b x)^{5/2} (c+d x)^{3/2}} \, dx\)
  3.15.3 \(\int \frac {1}{(a+b x)^{7/2} (c+d x)^{3/2}} \, dx\)
  3.15.4 \(\int \frac {1}{(a+b x)^{9/2} (c+d x)^{3/2}} \, dx\)
  3.15.5 \(\int \frac {1}{(a+b x)^{11/2} (c+d x)^{3/2}} \, dx\)
  3.15.6 \(\int \frac {(a+b x)^{9/2}}{(c+d x)^{5/2}} \, dx\)
  3.15.7 \(\int \frac {(a+b x)^{7/2}}{(c+d x)^{5/2}} \, dx\)
  3.15.8 \(\int \frac {(a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx\)
  3.15.9 \(\int \frac {(a+b x)^{3/2}}{(c+d x)^{5/2}} \, dx\)
  3.15.10 \(\int \frac {\sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\)
  3.15.11 \(\int \frac {1}{\sqrt {a+b x} (c+d x)^{5/2}} \, dx\)
  3.15.12 \(\int \frac {1}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx\)
  3.15.13 \(\int \frac {1}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx\)
  3.15.14 \(\int \frac {1}{(a+b x)^{7/2} (c+d x)^{5/2}} \, dx\)
  3.15.15 \(\int \frac {1}{(a+b x)^{9/2} (c+d x)^{5/2}} \, dx\)
  3.15.16 \(\int \frac {1}{\sqrt {a+b x} \sqrt {4+a+b x}} \, dx\)
  3.15.17 \(\int \frac {1}{\sqrt {2+b x} \sqrt {6+b x}} \, dx\)
  3.15.18 \(\int \frac {1}{\sqrt {1+b x} \sqrt {5+b x}} \, dx\)
  3.15.19 \(\int \frac {1}{\sqrt {b x} \sqrt {4+b x}} \, dx\)
  3.15.20 \(\int \frac {1}{\sqrt {-1+b x} \sqrt {3+b x}} \, dx\)
  3.15.21 \(\int \frac {1}{\sqrt {-2+b x} \sqrt {2+b x}} \, dx\)
  3.15.22 \(\int \frac {1}{\sqrt {-3+b x} \sqrt {1+b x}} \, dx\)
  3.15.23 \(\int \frac {1}{\sqrt {2+b x} \sqrt {3+b x}} \, dx\)
  3.15.24 \(\int \frac {1}{2+b x} \, dx\)
  3.15.25 \(\int \frac {1}{\sqrt {1+b x} \sqrt {2+b x}} \, dx\)
  3.15.26 \(\int \frac {1}{\sqrt {b x} \sqrt {2+b x}} \, dx\)
  3.15.27 \(\int \frac {1}{\sqrt {-1+b x} \sqrt {2+b x}} \, dx\)
  3.15.28 \(\int \frac {1}{\sqrt {-2+b x} \sqrt {2+b x}} \, dx\)
  3.15.29 \(\int \frac {1}{\sqrt {-3+b x} \sqrt {2+b x}} \, dx\)
  3.15.30 \(\int \frac {1}{\sqrt {3-b x} \sqrt {2+b x}} \, dx\)
  3.15.31 \(\int \frac {1}{\sqrt {2-b x} \sqrt {2+b x}} \, dx\)
  3.15.32 \(\int \frac {1}{\sqrt {1-b x} \sqrt {2+b x}} \, dx\)
  3.15.33 \(\int \frac {1}{\sqrt {-b x} \sqrt {2+b x}} \, dx\)
  3.15.34 \(\int \frac {1}{\sqrt {-1-b x} \sqrt {2+b x}} \, dx\)
  3.15.35 \(\int \frac {1}{\sqrt {-2-b x} \sqrt {2+b x}} \, dx\)
  3.15.36 \(\int \frac {1}{\sqrt {-3-b x} \sqrt {2+b x}} \, dx\)
  3.15.37 \(\int \frac {1}{\sqrt {2-b x} \sqrt {3-b x}} \, dx\)
  3.15.38 \(\int \frac {1}{2-b x} \, dx\)
  3.15.39 \(\int \frac {1}{\sqrt {1-b x} \sqrt {2-b x}} \, dx\)
  3.15.40 \(\int \frac {1}{\sqrt {-b x} \sqrt {2-b x}} \, dx\)
  3.15.41 \(\int \frac {1}{\sqrt {-1-b x} \sqrt {2-b x}} \, dx\)
  3.15.42 \(\int \frac {1}{\sqrt {-2-b x} \sqrt {2-b x}} \, dx\)
  3.15.43 \(\int \frac {1}{\sqrt {-3-b x} \sqrt {2-b x}} \, dx\)
  3.15.44 \(\int \frac {1}{\sqrt {-4+b x} \sqrt {4+b x}} \, dx\)
  3.15.45 \(\int \frac {1}{\sqrt {\frac {-b+b c}{d}+b x} \sqrt {c+d x}} \, dx\)
  3.15.46 \(\int \frac {1}{\sqrt {x} \sqrt {-3+2 x}} \, dx\)
  3.15.47 \(\int \frac {1}{\sqrt {-3+2 x} \sqrt {2+3 x}} \, dx\)
  3.15.48 \(\int \frac {1}{\sqrt {\frac {b-b c}{d}+b x} \sqrt {c-d x}} \, dx\)
  3.15.49 \(\int \frac {1}{\sqrt {4-x} \sqrt {x}} \, dx\)
  3.15.50 \(\int \frac {1}{\sqrt {3-2 x} \sqrt {x}} \, dx\)
  3.15.51 \(\int \frac {1}{\sqrt {3-2 x} \sqrt {3+5 x}} \, dx\)
  3.15.52 \(\int \frac {1}{\sqrt {a-b x} \sqrt {c+d x}} \, dx\)
  3.15.53 \(\int (a+b x)^{2/3} \sqrt [3]{c+d x} \, dx\)
  3.15.54 \(\int \frac {\sqrt [3]{c+d x}}{\sqrt [3]{a+b x}} \, dx\)
  3.15.55 \(\int \frac {\sqrt [3]{c+d x}}{(a+b x)^{4/3}} \, dx\)
  3.15.56 \(\int \frac {\sqrt [3]{c+d x}}{(a+b x)^{7/3}} \, dx\)
  3.15.57 \(\int \frac {\sqrt [3]{c+d x}}{(a+b x)^{10/3}} \, dx\)
  3.15.58 \(\int \frac {\sqrt [3]{c+d x}}{(a+b x)^{13/3}} \, dx\)
  3.15.59 \(\int \frac {\sqrt [3]{c+d x}}{(a+b x)^{16/3}} \, dx\)
  3.15.60 \(\int \frac {(a+b x)^{4/3}}{\sqrt [3]{c+d x}} \, dx\)
  3.15.61 \(\int \frac {\sqrt [3]{a+b x}}{\sqrt [3]{c+d x}} \, dx\)
  3.15.62 \(\int \frac {1}{(a+b x)^{2/3} \sqrt [3]{c+d x}} \, dx\)
  3.15.63 \(\int \frac {1}{(a+b x)^{5/3} \sqrt [3]{c+d x}} \, dx\)
  3.15.64 \(\int \frac {1}{(a+b x)^{8/3} \sqrt [3]{c+d x}} \, dx\)
  3.15.65 \(\int \frac {1}{(a+b x)^{11/3} \sqrt [3]{c+d x}} \, dx\)
  3.15.66 \(\int \frac {1}{(a+b x)^{14/3} \sqrt [3]{c+d x}} \, dx\)
  3.15.67 \(\int \frac {(a+b x)^{5/3}}{(c+d x)^{2/3}} \, dx\)
  3.15.68 \(\int \frac {(a+b x)^{2/3}}{(c+d x)^{2/3}} \, dx\)
  3.15.69 \(\int \frac {1}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\)
  3.15.70 \(\int \frac {1}{(a+b x)^{4/3} (c+d x)^{2/3}} \, dx\)
  3.15.71 \(\int \frac {1}{(a+b x)^{7/3} (c+d x)^{2/3}} \, dx\)
  3.15.72 \(\int \frac {1}{(a+b x)^{10/3} (c+d x)^{2/3}} \, dx\)
  3.15.73 \(\int \frac {1}{(a+b x)^{13/3} (c+d x)^{2/3}} \, dx\)
  3.15.74 \(\int \frac {(a+b x)^{7/3}}{(c+d x)^{4/3}} \, dx\)
  3.15.75 \(\int \frac {(a+b x)^{4/3}}{(c+d x)^{4/3}} \, dx\)
  3.15.76 \(\int \frac {\sqrt [3]{a+b x}}{(c+d x)^{4/3}} \, dx\)
  3.15.77 \(\int \frac {1}{(a+b x)^{2/3} (c+d x)^{4/3}} \, dx\)
  3.15.78 \(\int \frac {1}{(a+b x)^{5/3} (c+d x)^{4/3}} \, dx\)
  3.15.79 \(\int \frac {1}{(a+b x)^{8/3} (c+d x)^{4/3}} \, dx\)
  3.15.80 \(\int \frac {1}{(a+b x)^{11/3} (c+d x)^{4/3}} \, dx\)
  3.15.81 \(\int \frac {\sqrt [3]{-1+x}}{\sqrt [3]{1+x}} \, dx\)
  3.15.82 \(\int (a+b x)^{3/4} (c+d x)^{5/4} \, dx\)
  3.15.83 \(\int \frac {(c+d x)^{5/4}}{\sqrt [4]{a+b x}} \, dx\)
  3.15.84 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{5/4}} \, dx\)
  3.15.85 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{9/4}} \, dx\)
  3.15.86 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{13/4}} \, dx\)
  3.15.87 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{17/4}} \, dx\)
  3.15.88 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{21/4}} \, dx\)
  3.15.89 \(\int \frac {(c+d x)^{5/4}}{(a+b x)^{25/4}} \, dx\)
  3.15.90 \(\int \frac {(a+b x)^{5/4}}{\sqrt [4]{c+d x}} \, dx\)
  3.15.91 \(\int \frac {\sqrt [4]{a+b x}}{\sqrt [4]{c+d x}} \, dx\)
  3.15.92 \(\int \frac {1}{(a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.15.93 \(\int \frac {1}{(a+b x)^{7/4} \sqrt [4]{c+d x}} \, dx\)
  3.15.94 \(\int \frac {1}{(a+b x)^{11/4} \sqrt [4]{c+d x}} \, dx\)
  3.15.95 \(\int \frac {1}{(a+b x)^{15/4} \sqrt [4]{c+d x}} \, dx\)
  3.15.96 \(\int \frac {1}{(a+b x)^{19/4} \sqrt [4]{c+d x}} \, dx\)
  3.15.97 \(\int \frac {(a+b x)^{7/4}}{(c+d x)^{3/4}} \, dx\)
  3.15.98 \(\int \frac {(a+b x)^{3/4}}{(c+d x)^{3/4}} \, dx\)
  3.15.99 \(\int \frac {1}{\sqrt [4]{a+b x} (c+d x)^{3/4}} \, dx\)
  3.15.100 \(\int \frac {1}{(a+b x)^{5/4} (c+d x)^{3/4}} \, dx\)