Baholash
168
Baham ko'rish
Klipbordga nusxa olish
\int 10+6x^{2}\mathrm{d}x
Evaluate the indefinite integral first.
\int 10\mathrm{d}x+\int 6x^{2}\mathrm{d}x
Integrate the sum term by term.
\int 10\mathrm{d}x+6\int x^{2}\mathrm{d}x
Factor out the constant in each of the terms.
10x+6\int x^{2}\mathrm{d}x
Find the integral of 10 using the table of common integrals rule \int a\mathrm{d}x=ax.
10x+2x^{3}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{2}\mathrm{d}x with \frac{x^{3}}{3}. 6 ni \frac{x^{3}}{3} marotabaga ko'paytirish.
10\times 4+2\times 4^{3}-\left(10\times 0+2\times 0^{3}\right)
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
168
Qisqartirish.
Misollar
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