የቁጥር ችግር

እርምጃ በደረጃ

1. \int_{0}^{1} x y\, dx

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

2. \int x y\, dx = y \int x\, dx

   Pull the constant y out of the integral.

3. \int x\, dx = \frac{x^{2}}{2}

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

4. F(1) - F(0) = \left(\frac{y}{2}\right) - \left(0\right)

   Fundamental theorem of calculus: plug in the limits.

5. = \frac{y}{2}

   Simplify.

መልሱን አሳይ

\frac{y}{2}