Math  /  Calculus

QuestionEvaluate the integral: 11(1x2+x11)dx\int_{-1}^{1}\left(1-x^{2}+x^{11}\right) d x 5 7/47 / 4 4/7 3/43 / 4 4/34 / 3

Studdy Solution
将结果相加:
11(1x2+x11)dx=223+0=6323=43\int_{-1}^{1}\left(1-x^{2}+x^{11}\right) dx = 2 - \frac{2}{3} + 0 = \frac{6}{3} - \frac{2}{3} = \frac{4}{3}
积分的值为:
43\boxed{\frac{4}{3}}

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