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int x^ndx=(1)/(n+1)x^n+1+c example: int x^5dx=(1)/(6)x^6+c

Question

int x^ndx=(1)/(n+1)x^n+1+c Example: int x^5dx=(1)/(6)x^6+c

Solution

Verificación de expertos
4 (263 Votos)
Elisa Veterano · Tutor por 10 anos

Resposta

The correct answer is: This is the formula for the indefinite integral of a power function, where is a constant. The result is obtained by applying the power rule for integration, which states that the integral of with respect to is plus a constant of integration . In the example given, , the power rule is applied with , resulting in the answer .