The area under the curve y = x^4 and the lines x = 1, x = 5 and the x -axis is: - Mathematics MCQ Mathematics Mock Test - 5 2026 | ExamTest.live

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The area under the curve y = x^{4} and the lines x = 1, x = 5 and the x -axis is:

Solution & Step-by-step Explanation

Area is given by the integral of y with respect to x from x = 1 to x = 5 . Area = \int_{1}^{5} x^{4} d x = [\frac{x ^{5}}{5}]_{1}^{5} Area = \frac{5 ^{5}}{5} - \frac{1 ^{5}}{5} = \frac{3125}{5} - \frac{1}{5} = \frac{3124}{5} sq. units

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The area under the curve y = x^{4} and the lines x = 1, x = 5 and the x -axis is:

3124/3 sq. units

3124/7 sq. units

3124/5 sq. units

3124/9 sq. units

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