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Evaluate int-1^1 5x^4sqrt(x^5+1)dx...

Evaluate `int_-1^1 5x^4sqrt(x^5+1)dx`

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To evaluate the integral \[ \int_{-1}^{1} 5x^4 \sqrt{x^5 + 1} \, dx, \] we can follow these steps: ...
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Knowledge Check

  • Evaluate: int x ^(5) sqrt(1+x ^(3))dx.

    A
    `1/15 (1+x^(2)) ^(5//2) -1/9(1+x)^(3))^(3//2)+xc`
    B
    `2/15 (1+x ^(3))^(5//2) -1/9 (1+ x^(3)) ^(3//2) +c`
    C
    `2/15 (1+x ^(2)) ^(5//2) -2/9(1+x ^(3))^(3//2) +c `
    D
    `1/15 (1+ x ^(3)) ^(5//2) -2/9 (1+x^(3)) ^(3//2) +c`