If is an odd function (i.e. ) continuous on , what is ?

Answer and explanation

Correct answer: D.

  1. Step 1: Split the integral: . Substitute in the first integral: . Summing gives . **Answer: . Why not the others:** "" is the identity for even functions where , not odd functions; " interval width" confuses the integration limit with the net integral value; "" confuses the integral with the difference of endpoint values.

Practise more Integral Calculus and Fundamental Theorem.

Free questions with an explanation for every one, and full timed Panhellenic Examinations (Greece) mock tests.

All Integral Calculus and Fundamental Theorem questionsTake a mock test

More Integral Calculus and Fundamental Theorem questions