If . Then is equal to…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

If ∫(x2010+x804+x402)(2x1608+5x402+10)1/402dx=110a(2x2010+5x804+10x402)a/402+C\int (x^{2010} + x^{804} + x^{402})(2x^{1608} + 5x^{402} + 10)^{1/402} dx = \frac{1}{10a} (2x^{2010} + 5x^{804} + 10x^{402})^{a/402} + C . Then (a−400)(a - 400) is equal to .....

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