题目
5.求下列不定积分:-|||-(1) int (1-x+(x)^3-dfrac (1)(sqrt [3]{{x)^2}})dx-|||-(2) int ((x-dfrac {1)(sqrt {x)})}^2dx;-|||-(3) int dfrac (dx)(sqrt {2gx)} (g为正常数);-|||-(4) int (({2)^x+(3)^x)}^2dx-|||-(5) int dfrac (3)(sqrt {4-4{x)^2}}dx =-|||-(6) int dfrac ({x)^2}(3(1+{x)^2)}dx =-|||-(7)int (tan )^2xdx;-|||-(8)int (sin )^2xdx-|||-(9) int dfrac (cos 2x)(cos x-sin x)dx ;-|||-(10) int dfrac (cos 2x)({cos )^2xcdot (sin )^2x}dx-|||-(11)|10^2·3^2tdt;-|||-(12) int sqrt (xsqrt {xsqrt {x)}}dx;-|||-(13) int (sqrt (dfrac {1+x)(1-x)}+sqrt (dfrac {1-x)(1+x)})dx =-|||-(14) int ((cos x+sin x))^2dx;5.求下列不定积分:-|||-(1) int (1-x+(x)^3-dfrac (1)(sqrt [3]{{x)^2}})dx-|||-(2) int ((x-dfrac {1)(sqrt {x)})}^2dx;-|||-(3) int dfrac (dx)(sqrt {2gx)} (g为正常数);-|||-(4) int (({2)^x+(3)^x)}^2dx-|||-(5) int dfrac (3)(sqrt {4-4{x)^2}}dx =-|||-(6) int dfrac ({x)^2}(3(1+{x)^2)}dx =-|||-(7)int (tan )^2xdx;-|||-(8)int (sin )^2xdx-|||-(9) int dfrac (cos 2x)(cos x-sin x)dx ;-|||-(10) int dfrac (cos 2x)({cos )^2xcdot (sin )^2x}dx-|||-(11)|10^2·3^2tdt;-|||-(12) int sqrt (xsqrt {xsqrt {x)}}dx;-|||-(13) int (sqrt (dfrac {1+x)(1-x)}+sqrt (dfrac {1-x)(1+x)})dx =-|||-(14) int ((cos x+sin x))^2dx;


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