Baholash
\frac{x^{4}-81}{4}
x ga nisbatan hosilani topish
x^{3}
Baham ko'rish
Klipbordga nusxa olish
\int t^{3}\mathrm{d}t
Evaluate the indefinite integral first.
\frac{t^{4}}{4}
Since \int t^{k}\mathrm{d}t=\frac{t^{k+1}}{k+1} for k\neq -1, replace \int t^{3}\mathrm{d}t with \frac{t^{4}}{4}.
\frac{x^{4}}{4}-\frac{3^{4}}{4}
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.
\frac{-81+x^{4}}{4}
Qisqartirish.
Misollar
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