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ਕਦਮ ਦਰ ਕਦਮ

1. \int_{0}^{1} \frac{1}{\sqrt{x}}\, dx

   First find an antiderivative F, then evaluate F(b) − F(a).

2. \int \frac{1}{\sqrt{x}}\, dx = 2 \sqrt{x}

   Power rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) (n ≠ −1).

3. F(1) - F(0) = \left(2\right) - \left(0\right)

   Fundamental theorem of calculus: plug in the limits.

4. = 2

   Simplify.

ਜਵਾਬ ਦਿਓ

2