Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to change variables in order to find the antiderivative of a function and evaluate its definite integral.

Q1:

Use an appropriate substitution followed by a trigonometric one to evaluate οΈ π¦ π¦ β 1 + ( π¦ ) π 1 2 d l n .

Q2:

Evaluate οΈ 2 π‘ π‘ π‘ π 2 π 6 c s c c o t d .

Q3:

Find the average value of on the interval .

Q4:

Find the average value of π ( π‘ ) = π π‘ s i n π‘ c o s on the interval ο 0 , π 2 ο .

Q5:

Q6:

Find οΈ 2 π₯ 9 + 2 π₯ π₯ 3 0 2 d to the nearest hundredth.

Q7:

Evaluate οΈ ( 2 β π ) π 2 1 3 d .

Q8:

Determine οΈ 8 π₯ β 8 β π₯ β 1 π₯ 4 1 d to the nearest hundredth.

Q9:

Evaluate οΈ π₯ β 5 π₯ + 3 π₯ 5 3 2 d to the nearest thousandth.

Q10:

Find to the nearest thousandth.

Q11:

Determine οΈ 4 π₯ ( π₯ β 6 ) π₯ 7 5 6 d rounded to one decimal place.

Q12:

Find οΈ β 9 ( π§ ) ( π§ ) π§ π 4 0 2 t a n s e c d .

Q13:

Use an appropriate substitution followed by a trigonometric one to evaluate οΈ π π‘ β π + 9 l n 4 0 π‘ 2 π‘ d .

Q14:

Donβt have an account? Sign Up