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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

∫ (x^2)/((a + bx)^2) dx equals to :

∫x2(a+bx)2dx\int \frac{x^2}{(a + bx)^2} dx equals to :

Options

  1. A1b3(a+bx−aln⁡∣a+bx∣−a2a+bx)+C\frac{1}{b^3} \left( a + bx - a \ln |a + bx| - \frac{a^2}{a + bx} \right) + C
  2. B1b3(a+bx−2aln⁡∣a+bx∣−a2a+bx)+C\frac{1}{b^3} \left( a + bx - 2a \ln |a + bx| - \frac{a^2}{a + bx} \right) + C
  3. C1b3(a+bx+2aln⁡∣a+bx∣−a2a+bx)+C\frac{1}{b^3} \left( a + bx + 2a \ln |a + bx| - \frac{a^2}{a + bx} \right) + C
  4. D1b3(a−bx−2aln⁡∣a+bx∣−a2a+bx)+C\frac{1}{b^3} \left( a - bx - 2a \ln |a + bx| - \frac{a^2}{a + bx} \right) + C

Correct answer

B. 1b3(a+bx−2aln⁡∣a+bx∣−a2a+bx)+C\frac{1}{b^3} \left( a + bx - 2a \ln |a + bx| - \frac{a^2}{a + bx} \right) + C

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