Integration by substitution – Question Bank ( Qn 6 – 10)
Question No: 6 [ Maximum Mark: 7 ] (Do not use GDC)
| Use integration by substitution to find \(\int \frac{x-4}{x^2-8 x+5} d x \) | |||
| Answer : \( \int \frac{x-4}{x^2-8 x+5} d x=\frac{1}{2} \ln \left|x^2-8 x+5\right|+c\) | |||
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.Question No: 7 [ Maximum Mark: 7 ] (Do not use GDC)
| Use integration by substitution to find \(\int(6 x-9) \sqrt{x^2-3 x+4} d x \) | |||
| Answer : \( \int(6 x-9) \sqrt{x^2-3 x+4} d x=2\left(x^2-3 x+4\right)^{3 / 2}+c\) | |||
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.Question No: 8 [ Maximum Mark: 7 ] (Do not use GDC)
| Find the differentiation of \(\int x^3(2 x-3)^3(8 x-6) d x \) | |||
| Answer : \( \int x^3(2 x-3)^3(8 x-6) d x=\frac{\left(2 x^2-3 x\right)^4}{2}+C\) | |||
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