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MathsHardMCQ2025 · 23 Jan Shift 1

Q19.Let I(x) = ∫ 11 15 . If I(37) −I(24) = 4 1 − 1 b, c ∈N (x−11) 13 (x+15) 13 ( b 13 c 13 ), (1) 22 (2) 39 (3) 40 (4) 26

What This Question Tests

This question requires a non-trivial substitution in the indefinite integral involving fractional powers, followed by evaluating the definite integral based on the given form.

Concepts Tested

Substitution methodDefinite integrals propertiesPower rule of integration

Formulas Used

∫ x^n dx = x^(n+1)/(n+1) + C

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