3.10 Integrals 901 to 1000

3.10.1 \(\int \genfrac {}{}{}{}{\sqrt {c-d x^2}}{(e x)^{3/2} (a-b x^2)^2} \, dx\) [901]
3.10.2 \(\int \genfrac {}{}{}{}{\sqrt {c-d x^2}}{(e x)^{5/2} (a-b x^2)^2} \, dx\) [902]
3.10.3 \(\int \genfrac {}{}{}{}{(e x)^{7/2} (c-d x^2)^{3/2}}{(a-b x^2)^2} \, dx\) [903]
3.10.4 \(\int \genfrac {}{}{}{}{(e x)^{5/2} (c-d x^2)^{3/2}}{(a-b x^2)^2} \, dx\) [904]
3.10.5 \(\int \genfrac {}{}{}{}{(e x)^{3/2} (c-d x^2)^{3/2}}{(a-b x^2)^2} \, dx\) [905]
3.10.6 \(\int \genfrac {}{}{}{}{\sqrt {e x} (c-d x^2)^{3/2}}{(a-b x^2)^2} \, dx\) [906]
3.10.7 \(\int \genfrac {}{}{}{}{(c-d x^2)^{3/2}}{\sqrt {e x} (a-b x^2)^2} \, dx\) [907]
3.10.8 \(\int \genfrac {}{}{}{}{(c-d x^2)^{3/2}}{(e x)^{3/2} (a-b x^2)^2} \, dx\) [908]
3.10.9 \(\int \genfrac {}{}{}{}{(c-d x^2)^{3/2}}{(e x)^{5/2} (a-b x^2)^2} \, dx\) [909]
3.10.10 \(\int \genfrac {}{}{}{}{(e x)^{9/2}}{(a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [910]
3.10.11 \(\int \genfrac {}{}{}{}{(e x)^{7/2}}{(a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [911]
3.10.12 \(\int \genfrac {}{}{}{}{(e x)^{5/2}}{(a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [912]
3.10.13 \(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [913]
3.10.14 \(\int \genfrac {}{}{}{}{\sqrt {e x}}{(a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [914]
3.10.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [915]
3.10.16 \(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [916]
3.10.17 \(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} (a-b x^2)^2 \sqrt {c-d x^2}} \, dx\) [917]
3.10.18 \(\int \genfrac {}{}{}{}{(e x)^{9/2}}{(a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [918]
3.10.19 \(\int \genfrac {}{}{}{}{(e x)^{7/2}}{(a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [919]
3.10.20 \(\int \genfrac {}{}{}{}{(e x)^{5/2}}{(a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [920]
3.10.21 \(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [921]
3.10.22 \(\int \genfrac {}{}{}{}{\sqrt {e x}}{(a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [922]
3.10.23 \(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [923]
3.10.24 \(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [924]
3.10.25 \(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} (a-b x^2)^2 (c-d x^2)^{3/2}} \, dx\) [925]
3.10.26 \(\int \genfrac {}{}{}{}{(e x)^{9/2}}{(a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [926]
3.10.27 \(\int \genfrac {}{}{}{}{(e x)^{7/2}}{(a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [927]
3.10.28 \(\int \genfrac {}{}{}{}{(e x)^{5/2}}{(a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [928]
3.10.29 \(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [929]
3.10.30 \(\int \genfrac {}{}{}{}{\sqrt {e x}}{(a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [930]
3.10.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [931]
3.10.32 \(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [932]
3.10.33 \(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} (a-b x^2)^2 (c-d x^2)^{5/2}} \, dx\) [933]
3.10.34 \(\int \genfrac {}{}{}{}{x^5 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\) [934]
3.10.35 \(\int \genfrac {}{}{}{}{x^3 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\) [935]
3.10.36 \(\int \genfrac {}{}{}{}{x \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\) [936]
3.10.37 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x \sqrt {c+d x^2}} \, dx\) [937]
3.10.38 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^3 \sqrt {c+d x^2}} \, dx\) [938]
3.10.39 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^5 \sqrt {c+d x^2}} \, dx\) [939]
3.10.40 \(\int \genfrac {}{}{}{}{x^4 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\) [940]
3.10.41 \(\int \genfrac {}{}{}{}{x^2 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\) [941]
3.10.42 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^2 \sqrt {c+d x^2}} \, dx\) [942]
3.10.43 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^4 \sqrt {c+d x^2}} \, dx\) [943]
3.10.44 \(\int \genfrac {}{}{}{}{x^5 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\) [944]
3.10.45 \(\int \genfrac {}{}{}{}{x^3 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\) [945]
3.10.46 \(\int \genfrac {}{}{}{}{x (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\) [946]
3.10.47 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x \sqrt {c+d x^2}} \, dx\) [947]
3.10.48 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^3 \sqrt {c+d x^2}} \, dx\) [948]
3.10.49 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^5 \sqrt {c+d x^2}} \, dx\) [949]
3.10.50 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\) [950]
3.10.51 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\) [951]
3.10.52 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^2 \sqrt {c+d x^2}} \, dx\) [952]
3.10.53 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^4 \sqrt {c+d x^2}} \, dx\) [953]
3.10.54 \(\int \genfrac {}{}{}{}{x^5 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [954]
3.10.55 \(\int \genfrac {}{}{}{}{x^3 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [955]
3.10.56 \(\int \genfrac {}{}{}{}{x (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [956]
3.10.57 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{x \sqrt {c+d x^2}} \, dx\) [957]
3.10.58 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{x^3 \sqrt {c+d x^2}} \, dx\) [958]
3.10.59 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{x^5 \sqrt {c+d x^2}} \, dx\) [959]
3.10.60 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [960]
3.10.61 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [961]
3.10.62 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{x^2 \sqrt {c+d x^2}} \, dx\) [962]
3.10.63 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{x^4 \sqrt {c+d x^2}} \, dx\) [963]
3.10.64 \(\int \genfrac {}{}{}{}{x^4 \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [964]
3.10.65 \(\int \genfrac {}{}{}{}{x^3 \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [965]
3.10.66 \(\int \genfrac {}{}{}{}{x^2 \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [966]
3.10.67 \(\int \genfrac {}{}{}{}{x \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [967]
3.10.68 \(\int \genfrac {}{}{}{}{x^2 \sqrt {2+b x^2}}{\sqrt {3+d x^2}} \, dx\) [968]
3.10.69 \(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [969]
3.10.70 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [970]
3.10.71 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [971]
3.10.72 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [972]
3.10.73 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [973]
3.10.74 \(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [974]
3.10.75 \(\int \genfrac {}{}{}{}{x^6}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [975]
3.10.76 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [976]
3.10.77 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [977]
3.10.78 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [978]
3.10.79 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [979]
3.10.80 \(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [980]
3.10.81 \(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [981]
3.10.82 \(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [982]
3.10.83 \(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [983]
3.10.84 \(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [984]
3.10.85 \(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [985]
3.10.86 \(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [986]
3.10.87 \(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [987]
3.10.88 \(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [988]
3.10.89 \(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{9/2} \sqrt {c+d x^2}} \, dx\) [989]
3.10.90 \(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^2} \sqrt {c+d x^2}} \, dx\) [990]
3.10.91 \(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^2} \sqrt {c-d x^2}} \, dx\) [991]
3.10.92 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+b x^2} \sqrt {3+d x^2}} \, dx\) [992]
3.10.93 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {4-x^2} \sqrt {c+d x^2}} \, dx\) [993]
3.10.94 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {4+x^2} \sqrt {c+d x^2}} \, dx\) [994]
3.10.95 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-x^2} \sqrt {2+3 x^2}} \, dx\) [995]
3.10.96 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1-x^2}} \, dx\) [996]
3.10.97 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {4-x^2} \sqrt {2+3 x^2}} \, dx\) [997]
3.10.98 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {4-x^2}} \, dx\) [998]
3.10.99 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-4 x^2} \sqrt {2+3 x^2}} \, dx\) [999]
3.10.100 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-4 x^2} \sqrt {2-3 x^2}} \, dx\) [1000]