11. Particular Integral
1
O(D?
d
cosh (ax + b), where D = and o(a?) #0 is
dx
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Answer:
Standard Integrals
∫ dx/( x² - a² ) = (1/2a) log [(x - a)/(x + a)] + c.
∫ dx/( a² + x² ) = (1/a) tan⁻ ¹ (x/a) + c.
∫ dx/√(a² - x²) = sin⁻ ¹ (x/a) + c. ∫ dx/√( x² - a² ) = log [ x + √( x² - a² )] + c. ∫ dx/√( x² + a² ) = log [ x + √( x² + a² )] + c. Example 1: Integrate 1/(1 - 9x²) with respect to x. This problem can be done in two ways.
Step-by-step explanation:
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