Mathematics teacher of class XII in a school faced an awkward situation when a student Tej complained against him for awarding 0 mark for the following problem:
"compute the area enclosed between the x-axis, the curve `y=x^3` and the coordinates x=-1 and x=1".
solution to this problem as given by Tej was as follows:
`Required area=underset(-1)overset1 int x^3 dx=[(x^4)/(4)]^1=1/4(1^4-(-1)^4)=0`.
Tej claimed that the formula used by him is same as given in the book, which states that"Area enclosed between the x-axis, the graph of y=f(x) and the coordinates x=a, x=b is `underseta oversetb int f(x)dx`, where aWhat is the logic in awarding '0' mark to Tej for the solution in reference?