Question

Given below are two statements :
Statement I: $\int\limits_{-a}^af(x)dx=\int\limits_{0}^a[f(x)+f(-x)]dx$
Statement II : $\int\limits_{0}^1\sqrt{(1+x)(1+x^3)}dx$ is less than or equal to $\frac{15}{8}$.
In the light of the above statements, choose the most appropriate answer from the options given below :

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but Statement II is incorrect
• D. Statement I is incorrect but Statement II is correct

Answer 1

Answer: (C)

Statement I is correct but Statement II is incorrect

Answer 2

The correct answer is(C): Statement I is correct but Statement II is incorrect