Definite integral with trigonometric functions

A question is this type if and only if it asks to evaluate a definite integral involving sin, cos, tan, or sec functions, possibly requiring trigonometric identities.

26 questions · Moderate -0.1

1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)
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OCR Further Pure Core 2 2018 September Q2
5 marks Challenging +1.2
In this question you must show detailed reasoning.
  1. Find \(\int_{-\frac{3\pi}{4}}^{\frac{3\pi}{4}} 2\tan x \, dx\) giving your answer in the form \(\ln p\). [3]
  2. Show that \(\int_0^{\frac{3\pi}{4}} 2\tan x \, dx\) is undefined explaining your reasoning. [2]