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3.31
Integrals 3001 to 3078
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {\genfrac {}{}{}{}{c}{x}}}}} \, dx\) [3001]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+\genfrac {}{}{}{}{b}{(\genfrac {}{}{}{}{c}{x})^{3/2}}}} \, dx\) [3002]
\(\int (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}) \, dx\) [3003]
\(\int (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2 \, dx\) [3004]
\(\int (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^3 \, dx\) [3005]
\(\int \genfrac {}{}{}{}{x^3}{a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3006]
\(\int \genfrac {}{}{}{}{x^2}{a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3007]
\(\int \genfrac {}{}{}{}{x}{a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3008]
\(\int \genfrac {}{}{}{}{1}{a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3009]
\(\int \genfrac {}{}{}{}{1}{x (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})} \, dx\) [3010]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})} \, dx\) [3011]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})} \, dx\) [3012]
\(\int \genfrac {}{}{}{}{x^3}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3013]
\(\int \genfrac {}{}{}{}{x^2}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3014]
\(\int \genfrac {}{}{}{}{x}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3015]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3016]
\(\int \genfrac {}{}{}{}{1}{x (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3017]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3018]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3019]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^3} \, dx\) [3020]
\(\int \genfrac {}{}{}{}{x}{(1+(x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3021]
\(\int x^3 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p \, dx\) [3022]
\(\int x^2 (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p \, dx\) [3023]
\(\int x (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p \, dx\) [3024]
\(\int (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p \, dx\) [3025]
\(\int \genfrac {}{}{}{}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p}{x} \, dx\) [3026]
\(\int \genfrac {}{}{}{}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p}{x^2} \, dx\) [3027]
\(\int (a+b (c x^n)^{2/n})^3 \, dx\) [3028]
\(\int (a+b (c x^n)^{2/n})^2 \, dx\) [3029]
\(\int (a+b (c x^n)^{2/n}) \, dx\) [3030]
\(\int \genfrac {}{}{}{}{1}{a+b (c x^n)^{2/n}} \, dx\) [3031]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{2/n})^2} \, dx\) [3032]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{2/n})^3} \, dx\) [3033]
\(\int \genfrac {}{}{}{}{1}{1+4 \sqrt {x^4}} \, dx\) [3034]
\(\int \genfrac {}{}{}{}{1}{1-4 \sqrt {x^4}} \, dx\) [3035]
\(\int \genfrac {}{}{}{}{1}{1+4 \sqrt [3]{x^6}} \, dx\) [3036]
\(\int \genfrac {}{}{}{}{1}{1-4 \sqrt [3]{x^6}} \, dx\) [3037]
\(\int \genfrac {}{}{}{}{1}{1+4 (x^{2 n})^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3038]
\(\int \genfrac {}{}{}{}{1}{1-4 (x^{2 n})^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3039]
\(\int (a+b (c x^n)^{3/n})^3 \, dx\) [3040]
\(\int (a+b (c x^n)^{3/n})^2 \, dx\) [3041]
\(\int (a+b (c x^n)^{3/n}) \, dx\) [3042]
\(\int \genfrac {}{}{}{}{1}{a+b (c x^n)^{3/n}} \, dx\) [3043]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{3/n})^2} \, dx\) [3044]
\(\int \genfrac {}{}{}{}{1}{(a+b (c x^n)^{3/n})^3} \, dx\) [3045]
\(\int (d x)^m (a+b (c x^q)^n)^p \, dx\) [3046]
\(\int x^2 (a+b (c x^q)^n)^p \, dx\) [3047]
\(\int x (a+b (c x^q)^n)^p \, dx\) [3048]
\(\int (a+b (c x^q)^n)^p \, dx\) [3049]
\(\int \genfrac {}{}{}{}{(a+b (c x^q)^n)^p}{x} \, dx\) [3050]
\(\int \genfrac {}{}{}{}{(a+b (c x^q)^n)^p}{x^2} \, dx\) [3051]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x^m \, dx\) [3052]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x^2 \, dx\) [3053]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x \, dx\) [3054]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} \, dx\) [3055]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}}{x} \, dx\) [3056]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}}{x^2} \, dx\) [3057]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}}{x^3} \, dx\) [3058]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}}{x^4} \, dx\) [3059]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}} \, dx\) [3060]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}} \, dx\) [3061]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}} \, dx\) [3062]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}}} \, dx\) [3063]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x} \, dx\) [3064]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x^2} \, dx\) [3065]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x^3} \, dx\) [3066]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{d}{x}}+\genfrac {}{}{}{}{c}{x}} x^4} \, dx\) [3067]
\(\int \sqrt {\sqrt {\genfrac {}{}{}{}{1}{x}}+\genfrac {}{}{}{}{1}{x}} \, dx\) [3068]
\(\int \sqrt {2+\sqrt {\genfrac {}{}{}{}{1}{x}}+\genfrac {}{}{}{}{1}{x}} \, dx\) [3069]
\(\int (c x^n)^{\genfrac {}{}{}{}{1}{n}} (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^p \, dx\) [3070]
\(\int (c x^n)^{\genfrac {}{}{}{}{1}{n}} (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^3 \, dx\) [3071]
\(\int (c x^n)^{\genfrac {}{}{}{}{1}{n}} (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2 \, dx\) [3072]
\(\int (c x^n)^{\genfrac {}{}{}{}{1}{n}} (a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}) \, dx\) [3073]
\(\int \genfrac {}{}{}{}{(c x^n)^{\genfrac {}{}{}{}{1}{n}}}{a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}}} \, dx\) [3074]
\(\int \genfrac {}{}{}{}{(c x^n)^{\genfrac {}{}{}{}{1}{n}}}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^2} \, dx\) [3075]
\(\int \genfrac {}{}{}{}{(c x^n)^{\genfrac {}{}{}{}{1}{n}}}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^3} \, dx\) [3076]
\(\int \genfrac {}{}{}{}{(c x^n)^{\genfrac {}{}{}{}{1}{n}}}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^4} \, dx\) [3077]
\(\int \genfrac {}{}{}{}{(c x^n)^{\genfrac {}{}{}{}{1}{n}}}{(a+b (c x^n)^{\genfrac {}{}{}{}{1}{n}})^5} \, dx\) [3078]
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