Math  /  Measurement

Question Evaluate the definite integral 107x1+x4dx\int_{-1}^{0} \frac{7 x}{1+x^{4}} d x and select the correct answer.

Studdy Solution
Now, recall from STEP_4 that we need to subtract this value from zero because we are looking for the integral from 1-1 to 00.
107x1+x4dx=07π8=7π8\int_{-1}^{0} \frac{7x}{1+x^{4}} dx = 0 - \frac{7\pi}{8} = -\frac{7\pi}{8}
The correct answer is 7π8-\frac{7 \pi}{8}.

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