Question

Area bounded by the curve y = x⁴, X - axis and ordinates x = 1 and x = 3 is ______.

Options

• 64 sq. units

• 27 sq. units

• `127/5` sq. units

• `242/5` sq. units

Answer 1

Area bounded by the curve y = x⁴, X - axis and ordinates x = 1 and x = 3 is `242/5` sq. units.

Explanation:

Required area = `int_1^3 x^4 "dx" = [x^5/5]_1^3 = 242/5` sq. units