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The value of the integral I=int_(0)^(a) (x^(4))/((a^(2)+x^(2))^(4))dx is |
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Answer» `(1)/(16a^(3))((pi)/(4)-(1)/(3))` `I=(1)/(32a^(3))OVERSET(pi//4)underset(0)int(2-cos2theta-2cos2theta+cos6theta)d theta` `rArrI=(1)/(32a^(3))[2theta-(sintheta)/(2)-(sin4theta)/(2)+(sin6theta)/(6)]_(0)^(pi//4)=(1)/(16a^(3))((pi)/(4)-(1)/(3))` |
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