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Integration questions

Integration questions | form five Pure Advanced Mathematics

Find Integration examination questions, form five Pure Advanced Mathematics in acaproso.com

# Question
1

Evaluate

  1. int_{0}^{pi }tan 	heta d	heta
  2. int_{3}^{5 }frac{3}{	heta-2}d	heta

Mathematical Calculation
2

Integrate with the respect to x

  1. int {frac{4x^{2}-2x+3}{(x^2+1)(x-2)}}dx
  2. int {sqrt{(x^{2}+2x-1)}}dx

Mathematical Calculation
3

Evaluate int_{0}^{1}{frac{dx}{(1+x^{2})^2}}


Mathematical Calculation
4

Evaluate int{frac{dx}{3+5cos3x}}


Mathematical Calculation
5

Find the length of the spiral r=ae^{k	heta} from 	heta =0 to 	heta =2pi.


Mathematical Calculation
6

Integrate with respect to x

int{frac{dx}{(1+x)ln(1+x)}}


Mathematical Calculation
7

Evaluate the following integrals

  1. int_{0}^{frac{pi}{4}}{x^2cos2x}dx
  2. int_{1}^{2}{frac{2x+1}{sqrt{x-1}}}dx

Mathematical Calculation
8

Do the following integrals

  1. int{sqrt{x}}dx
  2. int{xe^{3x^{2}}}dx
  3. int{frac{cos	heta}{1+sin^{2}	heta}}d{	heta}
  4. int^{frac{pi}{4}}({1+sin	heta})^2 d	heta

Mathematical Calculation
9

Integrate  sqrt{x^{2}+2x-1}

with respect to x

 


Mathematical Calculation
10

Integrate  with respect to x

int{(sqrt{x^2+25})}dx


Mathematical Calculation