If \int \binom{3 a x}{b^{2}+c^\frac{2}{x}^{2}} \dx=A \log

CBSE Class 12 Math 2026 All Sets Solved Paper

Question : 8 of 20

Marks: +1, -0

∫ \;{3 a x}{b^{2}+c^{2}/{x}^{2}} \dx=A \log | b^{2}+c^{2} x^{2} | +K

, then the value of A is

Solution:

∫ \;{3 a x}{b^{2}+c^{2}/{x}^{2}} \dx

u=b^{2}+c^{2} x^{2}

d u=2 c^{2} x \dx

∫ \;{3 a x}{b^{2}+c^{2}/{x}^{2}}=\;{3 a}/{2 c^{2}} ∫ \;{1}{u}/{d} u

=\;{3 a}/{2 c^{2}} \ln | u | +k

=\;{3 a}{2 c^{2}} \ln | b^{2}+c^{2}/{x}^{2} | +k

⇒ A=\;{3 a}{2 c^{2}}/{.}

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