Integration - Integrable Forms of Trigonometric Functions

Integration - Integrable Forms of Trigonometric Functions

IB Year 6 | Grade 12

Find

  1. \(\displaystyle \displaystyle \displaystyle\int_{1}^{4} \frac{1}{(x+3)^3} \, \mathrm{d}x\)
  2. \(\displaystyle \displaystyle \displaystyle\int_{0}^{\frac{\pi}{4}} \cos^2 3x \, \mathrm{d}x\)

Solution:

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Answer:

(a) \(\frac{33}{1568}\).

(b) \(\frac\pi8-\frac1{12}\).

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