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Indefinite Integrals question

2023 · 15 Apr · Shift 1 · Q41
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Indefinite Integrals question

2023 · 15 Apr · Shift 1 · Q41

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1
Let f(x)=∫dx(3+4x2)4−3x2,∣x∣0f(x)=\int \frac{d x}{\left(3+4 x^{2}\right) \sqrt{4-3 x^{2}}},|x|0f(x)=∫(3+4x2)4−3x2​dx​,∣x∣0, then α2+β2\alpha^{2}+\beta^{2}α2+β2 is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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