Question

solve: the indefinite integral of 1/(x(x^2+49)) dx?

Answer 1

Solve the integral using partial decomposition.

Equate x² coefficients, A + B = 0 ---> (1)

Equate constants, 49A = 1

A = 1/49

Equate x coefficients, C = 0

Substitute A in equation (1), then the value of B = -1/49.

Substitute A, B and C in equation (i).

Now the integral becomes

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