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Questions › JNU › JNU SSS 2018 › Q49
5 marksMathematics › Integration and its applications › Integration techniquesModerateabout 5 min

JNU SSS 2018 Question 49: Integration and its applications

Compute the value of ∫12(log⁡x) dx\int_1^2 (\log x)\,dx∫12​(logx)dx, where log⁡x\log xlogx is the natural logarithm of xxx. It is known that log⁡2≃0⋅693\log 2 \simeq 0\cdot693log2≃0⋅693.

Answer and worked solution

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Plain-text version

Compute the value of ∫₁² (log x) dx, where log x is the natural logarithm of x. It is known that log 2 ≃ 0·693.

Also written as: Compute the value of integral_1^2 (log x) dx, where log x is the natural logarithm of x. It is known that log 2 ~= 0*693.

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 JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.