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Questions › IIT JAM › IIT JAM 2026 › Q10
1 mark, −0.333Mathematics › Integration and its applications › Integration techniquesHardabout 3 min

IIT JAM 2026 Question 10: Integration and its applications

The area under the curve f(x)=x5ex3f(x)=x^5 e^{x^3}f(x)=x5ex3 between x=1x=1x=1 and x=2x=2x=2 is

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The area under the curve f(x)=x⁵ e^(x³) between x=1 and x=2 is (A) 1/3e⁸ (B) 4/3e⁸ (C) 5/3e⁸ (D) 7/3e⁸

Also written as: The area under the curve f(x)=x^5 e^(x^3) between x=1 and x=2 is

Integration and its applications has come up 43 times in 6 exams since 2007.

What this question tests

This question is on Integration techniques, part of Integration and its applications in Mathematics.

Substitution, integration by parts, partial fractions and improper integrals.

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Question from the IIT JAM 2026 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.