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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

∫ dx (1 + x )^8 = - 1 3(1 + x )^ k_1 + 2 7(1 + x )^ k_2 + C , then :

∫dx(1+x)8=−13(1+x)k1+27(1+x)k2+C\int \frac{dx}{(1 + \sqrt{x})^8} = -\frac{1}{3(1 + \sqrt{x})^{k_1}} + \frac{2}{7(1 + \sqrt{x})^{k_2}} + C, then :

Options

  1. Ak1=5k_1 = 5
  2. Bk1=6k_1 = 6
  3. Ck2=7k_2 = 7
  4. Dk2=8k_2 = 8

Correct answer

B. k1=6k_1 = 6

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