Find the indefinite integral.

Question

Find the indefinite integral. ​  ​

Quizplus · Accepted Answer

Without context or limits of integration, we cannot know what the definite integral would be. However, for the indefinite integral, we can integrate term by term to get:
∫11eac44f_ec79_14a8_bedf_21fe911d6f5b_TB7497_11 dx = ∫11eac44f_ec79_14a8_bedf_21fe911d6f5b_TB7497_11 x^3 dx +  ∫11eac44f_ec79_14a8_bedf_21fe911d6f5b_TB7497_11 x^2 dx +  ∫11eac44f_ec79_14a8_bedf_21fe911d6f5b_TB7497_11 x dx + ∫11eac44f_ec79_14a8_bedf_21fe911d6f5b_TB7497_11 dx
= (1/4)x^4 + (1/3)x^3 + (1/2)x^2 + x + C
where C is the constant of integration. Among the choices given, only option B matches this result.

Find the Indefinite Integral. ​ ​

Find the Indefinite Integral.