ଯେକୌଣସି ଗଣିତ ସମସ୍ୟାକୁ ସମାଧାନ କରନ୍ତୁ

ପଦକ୍ଷେପ କ୍ରମେ

1. \int_{0}^{2} r\, dr

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

2. \int r\, dr = \frac{r^{2}}{2}

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

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

   Fundamental theorem of calculus: plug in the limits.

4. = 2

   Simplify.

ଉତ୍ତରକୁ ଖୋଲନ୍ତୁ

2