Question

Consider the plot of f(x) versus x as shown below:



Suppose F (x) = ${\int }_{-5}^x$ f(y) dy. Which one of the following is a graph of F(x)?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

We know that odd function is symmetrical in opposite quadrants and even function is symmetrical about y-axis.

Given function is an odd function and integration of an odd function is an even function, so option (a) & (b) are wrong.

Now integration of linear function should be parabolic in nature so only option (c) satisfies it.