Pregunta
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Responder
La integral es
.
Solución
Calculate the integral
.
Evaluate the integral by following steps:
Evaluate the integral by following steps:
- step0: Evaluate using substitution:
- step1: Use the substitution
to transform the integral
- step2: Simplify:
- step3: Use the substitution
to transform the integral
- step4: Evaluate the integral:
- step5: Add the numbers:
- step6: Add the numbers:
- step7: Divide the terms:
- step8: Express with a positive exponent:
- step9: Substitute back:
- step10: Rewrite the expression:
- step11: Rewrite the expression:
- step12: Add the constant of integral C:
La integral decon respecto a es , donde es una constante real.
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Como
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Mind Expander
To solve the integral
, we can rewrite it using the fact that
. Therefore, the integral becomes
.
Now, we can use substitution; let’s set
. Then,
. This transforms the integral into
, which is easier to integrate:
So the final answer is:
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