Examples on Integrals Involving Inverse Trigonometric Functions.

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Presentation transcript:

Examples on Integrals Involving Inverse Trigonometric Functions

Examples I

1.

2.

2*

3.

Examples II

1.

3.

Examples III

1.

2.

3.

Examples IV

1.

2.

3.

Caution!!

Do not Confuse the arcsin formula with the power formula! Example 1 Notice the difference between the previous integral And the integral

Do not Confuse the arcsin formula with the power formula! Example 2 Notice the difference between the previous integral And the integral

Do not Confuse the arcsin formula with the power formula! Example 3 Notice the difference between the previous integral and the integral

Do not Confuse the arctan formula with the logarithmic formula! Example 1 Notice the difference between the previous integral And the integral

Do not Confuse the arctan formula with the logarithmic formula! Example 2 Notice the difference between the previous integral And the integral Or the integral

Do not Confuse the arctan formula with the logarithmic formula! Example 3 Notice the difference between the previous integral and the integral