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Question: How to calculate integral?

Question:How to calculate integral?

iman 35 Maple 2015
integral numeric
April 06 2016
0

hi.i calculate this integral numerically but after use this result in my differential equation which is involve f3(x), i enconter with error

i found that this problem is due to answer of this integtal.may i use another way to calculte it?as shown power in result are very large!!!

``

restart; Digits := 15; g3 := theta^2*(theta-1)^2; beta := 100; chi := 5; kappa := 5; a := 0

0

 (1)

with(Student[Calculus1]); -1; a31 := evalf(ApproximateInt(-beta^2*g3/((1-g3*f3(x))*ln(2*kappa*(1-g3*f3(x)))^2), theta = a .. 1, method = simpson)); -1; a32 := evalf(ApproximateInt(-chi*g3/(1-g3*f3(x))^4, theta = a .. 1, method = simpson))

-1.33333333333333*(-0.191597582462488e152*f3(x)-0.863011826221205e146*f3(x)^9-0.706378636532818e148*f3(x)^7+0.846944805095211e147*f3(x)^8+0.130151241709538e151*f3(x)^4-0.283379399043279e150*f3(x)^5+0.493554199542613e149*f3(x)^6+0.117104095781373e152*f3(x)^2-0.459581479474515e151*f3(x)^3+0.151119505345015e152+0.755561753647024e145*f3(x)^10+0.175123383079432e97*f3(x)^36-0.244416009548583e100*f3(x)^35+0.163803382818292e103*f3(x)^34-0.704973843312161e105*f3(x)^33+0.219681545650952e108*f3(x)^32-0.529211072065593e110*f3(x)^31+0.102639576866076e113*f3(x)^30-0.164658103849427e115*f3(x)^29+0.222629381398692e117*f3(x)^28-0.257124576224432e119*f3(x)^27+0.256176429040311e121*f3(x)^26-0.221804182616290e123*f3(x)^25+0.167834727658308e125*f3(x)^24-0.111474607475097e127*f3(x)^23+0.652137994527267e128*f3(x)^22-0.336921770775584e130*f3(x)^21+0.154034904897255e132*f3(x)^20-0.624063631993155e133*f3(x)^19+0.224251041670249e135*f3(x)^18-0.714943093769717e136*f3(x)^17+0.202175772822691e138*f3(x)^16-0.506683948932158e139*f3(x)^15+0.112368506172683e141*f3(x)^14-0.220033360070981e142*f3(x)^13+0.379271084508473e143*f3(x)^12-0.573179869691401e144*f3(x)^11)/((-160000.+9801.*f3(x))^4*(-16.+f3(x))^4*(-256.+9.*f3(x))^4*(-10000.+441.*f3(x))^4*(-160000.+8281.*f3(x))^4*(-625.+36.*f3(x))^4*(-160000.+361.*f3(x))^4*(-10000.+81.*f3(x))^4*(-160000.+2601.*f3(x))^4*(-625.+16.*f3(x))^4)

 (2)

``

 

Download integral.mwintegral.mw

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