Split them up! Instead of thinking of he numbers as (2X^4 - X^5)/64, try thinking of them as (2X^4/64) + (-X^5)/64. It'll make your life SO much easier.
And just use the regular rules of integrating from that point on. The trick is just knowing that you can split them up.
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"The mark of your ignorance is the depth of your belief in injustice and tragedy. What the caterpillar calls the end of the world, the Master calls the butterfly." ~ Richard Bach
"The mark of your ignorance is the depth of your belief in injustice and tragedy. What the caterpillar calls the end of the world, the Master calls the butterfly." ~ Richard Bach
Factor out the 1/64 out of the integral (since it's a constant), THEN you may split them up. Just remember to multiply both split integrals by 1/64 AFTER you're done integrating.
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