Find the following integral: int left(x^{frac | vedclass

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(A) We use the power rule for integration,which states that $\int x^n dx = \frac{x^{n+1}}{n+1} + C$ for $n 
eq -1$.$\int \left(x^{\frac{2}{3}} + 1i

Vedclass · Accepted Answer

$\frac{3}{5} x^{\frac{5}{3}} + x + C$

Vedclass · Answer

(A) We use the power rule for integration,which states that $\int x^n dx = \frac{x^{n+1}}{n+1} + C$ for $n 
eq -1$.$\int \left(x^{\frac{2}{3}} + 1ight) dx = \int x^{\frac{2}{3}} dx + \int 1 dx$$= \frac{x^{\frac{2}{3} + 1}}{\frac{2}{3} + 1} + x + C$$= \frac{x^{\frac{5}{3}}}{\frac{5}{3}} + x + C$$= \frac{3}{5} x^{\frac{5}{3}} + x + C$

Find the following integral: $\int \left(x^{\frac{2}{3}} + 1\right) dx$

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