Definite integral with logarithmic form

A question is this type if and only if it asks to evaluate ∫(1/(ax+b))dx or similar, resulting in a logarithmic answer, often requiring exact form like ln(k).

27 questions · Moderate -0.5

1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)
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OCR C3 Q1
4 marks Moderate -0.5
Show that \(\int_2^8 \frac{3}{x} \, dx = \ln 64\). [4]
OCR C3 Q1
4 marks Moderate -0.5
Show that $$\int_1^7 \frac{2}{4x-1} \, dx = \ln 3.$$ [4]