End-of-chapter review exercise 22: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\int_0^1 x/(x^2+121)\,dx\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\int_0^1 x/(x^2+144)\,dx\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\int_0^1 (x^2+144)^{-1/2}\,dx\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\int_0^1 (x^2+169)^{-1/2}\,dx\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: check 3
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 3\), the curve is \(y=\frac23(x+12)^{3/2}\).
Find V/π for the solid formed from the region under the curve.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 1\), the curve is \(y=\frac23(x+13)^{3/2}\).
Find V/π for the solid formed from the region under the curve.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+13x\) on \(0\le x\le 2\). For the finite sums use 15 equal subintervals.
Find the difference between right and left sums.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 22: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider the area under \(y=x^2+14x\) on \(0\le x\le 3\). For the finite sums use 16 equal subintervals.
Find the difference between right and left sums.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.