If the area bounded by y=x^3+ax (where a>0), the x-axis and the lines x=-2 and x=1 is 37 4 square units, then....

MHT CET 2026 Mathematics question

If the area bounded by (where ), the -axis and the lines and is square units, then....

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

with , so for and for ; the curve crosses the -axis only at the origin. Hence the area is A=\int_{-2}^{0}-(x^3+ax)dx+\int_0^1(x^3+ax)dx. First part: . Second part:

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Question ID VK-100348