Timofeev Chapter 9 Integration Problems fricas -- Problems 1 - 6 (p. 391-392) integrate(acos(x)^2/x^5,
Type: Union(Expression(Integer),
fricas integrate(x^2*asin(x)^2,
Type: Union(Expression(Integer),
fricas integrate(x^3*atan(x)^2,
Type: Union(Expression(Integer),
fricas integrate(atan(x)^2/x^5,
Type: Union(Expression(Integer),
fricas integrate(x^3*acsc(x)^2,
Type: Union(Expression(Integer),
fricas integrate(asec(x)^4/x^5,
Type: Union(Expression(Integer),
fricas -- Problems 7 - 18 (p. 397-398) integrate(asin(x)*sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(acos(x)*sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(x*acos(x)*sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate((1-x^2)^(3/2)*asin(x),
Type: Union(Expression(Integer),
fricas integrate(x*(1-x^2)^(3/2)*asin(x),
Type: Union(Expression(Integer),
fricas integrate(x^3*(1-x^2)^(3/2)*acos(x),
Type: Union(Expression(Integer),
fricas integrate((1-x^2)^(3/2)*acos(x)/x,
Type: Union(Expression(Integer),
fricas integrate((1-x^2)^(3/2)*asin(x)/x^6,
Type: Union(Expression(Integer),
fricas integrate(x^2*asin(x)/sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(x^4*asin(x)/sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(x*asin(x)/(1-x^2)^(3/2),
Type: Union(Expression(Integer),
fricas integrate(x*acos(x)/(1-x^2)^(3/2),
Type: Union(Expression(Integer),
fricas integrate(asin(x)/(1-x^2)^(5/2),
Type: Union(Expression(Integer),
fricas integrate(x^3*asin(x)/(1-x^2)^(3/2),
Type: Union(Expression(Integer),
fricas -- Problems 19 - 22 (p. 401) integrate(asin(x)/(x*(1-x^2)^(3/2)),
Type: Union(Expression(Integer),
fricas integrate(acos(x)/(x^4*sqrt(1-x^2)),
Type: Union(Expression(Integer),
fricas integrate(x*acos(x)^2*sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(x^2*asin(x)^3/sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas -- Problems 23 - 26 (p. 404-405) integrate(x*atan(x)/(1+x^2)^2,
Type: Union(Expression(Integer),
fricas integrate(x*atan(x)/(1+x^2)^3,
Type: Union(Expression(Integer),
fricas integrate(x^2*atan(x)/(1+x^2),
Type: Union(Expression(Integer),
fricas integrate(x^3*atan(x)/(1+x^2),
Type: Union(Expression(Integer),
fricas -- Problems 27 - 32 (p. 407-408) integrate(x^2*atan(x)/(1+x^2)^2,
Type: Union(Expression(Integer),
fricas integrate(x^3*atan(x)/(1+x^2)^2,
Type: Union(Expression(Integer),
fricas integrate(x^5*atan(x)/(1+x^2)^2,
Type: Union(Expression(Integer),
fricas integrate((1+x^2)*atan(x)/x^2,
Type: Union(Expression(Integer),
fricas integrate((1+x^2)*atan(x)/x^5,
Type: Union(Expression(Integer),
fricas integrate((1+x^2)^2*atan(x)/x^5,
Type: Union(Expression(Integer),
fricas -- Problems 33 - 36 (p. 409) integrate(atan(x)/(x^2*(1+x^2)),
Type: Union(Expression(Integer),
fricas integrate(atan(x)^2/x^3,
Type: Union(Expression(Integer),
fricas integrate((1+x^2)*atan(x)^2/x^5,
Type: Union(Expression(Integer),
fricas integrate(x^3*atan(x)^2/(1+x^2)^3,
Type: Union(Expression(Integer),
fricas -- Problems 37 - 43 (p. 412-414) integrate(asec(x)*sqrt(-1+x^2)/x^2,
Type: Union(Expression(Integer),
fricas integrate((-1+x^2)^(5/2)*acsc(x)/x^3,
Type: Union(Expression(Integer),
fricas integrate(asec(x)*sqrt(-1+x^2)/x^4,
Type: Union(Expression(Integer),
fricas integrate(asec(x)/(-1+x^2)^(5/2),
Type: Union(Expression(Integer),
fricas integrate(x^2*asec(x)/(-1+x^2)^(5/2),
Type: Union(Expression(Integer),
fricas integrate(x^3*asec(x)/(-1+x^2)^(5/2),
Type: Union(Expression(Integer),
fricas integrate(x^6*asec(x)/(-1+x^2)^(5/2),
Type: Union(Expression(Integer),
fricas -- Problems 44 - 48 (p. 416-417) integrate(asec(x)/(x^2*sqrt(-1+x^2)),
Type: Union(Expression(Integer),
fricas integrate(acsc(x)/(x^2*(-1+x^2)^(5/2)),
Type: Union(Expression(Integer),
fricas integrate(acsc(x)^4/(x^2*sqrt(-1+x^2)),
Type: Union(Expression(Integer),
fricas integrate((-1+x^2)^(3/2)*asec(x)^2/x^5,
Type: Union(Expression(Integer),
fricas integrate(asec(x)^3*sqrt(-1+x^2)/x^4,
Type: Union(Expression(Integer),
fricas -- Problems 49 - 56 (p. 422) integrate(asin(sqrt((-a+x)/(a+x))),
Type: Union(Expression(Integer),
fricas integrate(atan(sqrt((-a+x)/(a+x))),
Type: Union(Expression(Integer),
fricas integrate(atan(x)/(1+x)^3,
Type: Union(Expression(Integer),
fricas integrate(atan(-a+x)/(a+x),
Type: Union(Expression(Integer),
fricas integrate(asin(sqrt(1-x^2))/sqrt(1-x^2),
Type: Union(Expression(Integer),
fricas integrate(x*atan(sqrt(1+x^2))/sqrt(1+x^2),
Type: Union(Expression(Integer),
fricas integrate(asin(x)/(1-x)^(5/2),
Type: Union(Expression(Integer),
fricas integrate((-1+x)^(5/2)*acsc(x),
Type: Union(Expression(Integer),
fricas -- Problems 57 - 59 (p. 427) fricas )set output tex off fricas )set output algebra on Type: Union(Expression(Integer),
fricas integrate(acot(cosh(x))*cosh(x)/sinh(x)^4, Type: Union(Expression(Integer),
fricas )set output algebra off fricas )set output tex on
Type: Union(Expression(Integer),
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