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Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7?
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Solve for X integration one by X 4 minus 1 by x minus 7 is equal to ...
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Solve for X integration one by X 4 minus 1 by x minus 7 is equal to ...
Given Equation:
Integration (1/x) - Integration (1/(x-7)) = 11/30
Step 1: Find the Indefinite Integrals
Integration of 1/x is ln|x|
Integration of 1/(x-7) is ln|x-7|
Step 2: Substitute the Integrals back into the Equation
ln|x| - ln|x-7| = 11/30
Step 3: Simplify the Equation
ln|x/(x-7)| = 11/30
Step 4: Exponentiate both sides
|x/(x-7)| = e^(11/30)
Step 5: Solve for x
x/(x-7) = ±e^(11/30)
x = (±e^(11/30)) * (x-7)
x = ±7e^(11/30) / (1 ± e^(11/30))
Therefore, the solution for x is x = ±7e^(11/30) / (1 ± e^(11/30)), where x is not equal to -4 and 7.
Integration (1/x) - Integration (1/(x-7)) = 11/30
Step 1: Find the Indefinite Integrals
Integration of 1/x is ln|x|
Integration of 1/(x-7) is ln|x-7|
Step 2: Substitute the Integrals back into the Equation
ln|x| - ln|x-7| = 11/30
Step 3: Simplify the Equation
ln|x/(x-7)| = 11/30
Step 4: Exponentiate both sides
|x/(x-7)| = e^(11/30)
Step 5: Solve for x
x/(x-7) = ±e^(11/30)
x = (±e^(11/30)) * (x-7)
x = ±7e^(11/30) / (1 ± e^(11/30))
Therefore, the solution for x is x = ±7e^(11/30) / (1 ± e^(11/30)), where x is not equal to -4 and 7.
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Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7?
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Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7?.
Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for X integration one by X 4 minus 1 by x minus 7 is equal to 11 by 30 where X is not equal to minus 4 and 7?.
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