25 January 2022 Indefinite integral of the composition

25 January 2022 Indefinite integral of the composition of functions with the linear function ax + b LO: Find the indefinite integral of the composition of functions with the linear function ax + b. www. mathssupport. org

Indefinite integrals Find the indefinite integral Expand Integrate each term Find the indefinite integral Separating terms Simplifying Integrating each term www. mathssupport. org , x>0

Indefinite integrals Find the indefinite integral Now we look at indefinite integrals of functions that are compositions with the linear function ax + b www. mathssupport. org

Indefinite integrals Find the indefinite integral Simplifying www. mathssupport. org

Indefinite integrals Find the indefinite integral www. mathssupport. org

Indefinite integrals Find the indefinite integral Apply the constant multiple rule www. mathssupport. org

Indefinite integrals Find the indefinite integral Rewrite using rational exponents www. mathssupport. org

Integrals of sine and cosine These integrals result directly from the derivatives of sine and cosine The integrals of the composition of sine and cosine with the linear function ax + b are: You can use the substitution method to find some integrals or perhaps recognise when you have an integral of the form www. mathssupport. org

Indefinite integrals Find the integral www. mathssupport. org

Indefinite integrals Find the integral Recognize this as the form Substitute Simplify Integrate www. mathssupport. org Let

Thank you for using resources from For more resources visit our website https: //www. mathssupport. org If you have a special request, drop us an email info@mathssupport. org www. mathssupport. org