Question
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Answer
نتیجه انتگرال:
که در آن
Solution
نتیجه انتگرال به صورت زیر است:
که در آن
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Simplify this solution Mind Expander
To solve the integral
Rewrite the radicals in terms of powers of
Now let’s rewrite the integral:
Next, we need a common exponent for the terms in the denominator. The least common multiple of
This becomes:
This can be simplified further:
Now we can use a substitution. Let
This integral can be solved using partial fractions:
Solving, you’ll find
Substituting back
Finally, simplify:
And that’s our integral! Thus, the solution is:
