End-of-chapter review exercise 22: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\displaystyle \int_{0}^{1} \frac{x}{x^{2}+ 121}\, dx\).
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: ★★☆Info
Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\displaystyle \int_{0}^{1} \frac{x}{x^{2}+ 144}\, dx\).
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: ★★☆Info
Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\displaystyle \int_{0}^{1} (x^{2}+ 144)^{- \frac{1}{2}}\, dx\).
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: ★★☆Info
Maths4U Original · Short practice
Evaluate the following independent definite integrals on [0,1]. Show a suitable method.
Evaluate \(\displaystyle \int_{0}^{1} (x^{2}+ 169)^{- \frac{1}{2}}\, dx\).
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: ★★☆Info
Maths4U Original · Short practice
On \(0\le x\le 3\), the curve is \(\displaystyle y= \frac{2}{3}(x+ 12)^{\frac{3}{2}}\).
Find \(\displaystyle \frac{V}{\pi}\) 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: ★★☆Info
Maths4U Original · Short practice
On \(0\le x\le 1\), the curve is \(\displaystyle y= \frac{2}{3}(x+ 13)^{\frac{3}{2}}\).
Find \(\displaystyle \frac{V}{\pi}\) 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: ★★☆Info
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: ★★☆Info
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.