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.

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.

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.

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.

Maths4U Original · Short practice

Evaluate the following independent definite integrals on [0,1]. Show a suitable method.

Evaluate \(\int_0^1 xe^{4x}\,dx\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Evaluate the following independent definite integrals on [0,1]. Show a suitable method.

Evaluate \(\int_0^1 xe^{1x}\,dx\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Evaluate the following independent definite integrals on [0,1]. Show a suitable method.

Evaluate \(\displaystyle \int_{0}^{1} \frac{1}{[(x+ 14)(x+ 15)]}\, dx\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Evaluate the following independent definite integrals on [0,1]. Show a suitable method.

Evaluate \(\displaystyle \int_{0}^{1} \frac{1}{[(x+ 15)(x+ 16)]}\, dx\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.