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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

∫ 8x^ 43 + 13x^ 38 (x^ 13 + x^5 + 1)^4 dx =

∫8x43+13x38(x13+x5+1)4dx=\int \frac{8x^{43} + 13x^{38}}{(x^{13} + x^5 + 1)^4} dx =

Options

  1. Ax393(x13+x5+1)3+C\frac{x^{39}}{3(x^{13} + x^5 + 1)^3} + C
  2. Bx39(x13+x5+1)3+C\frac{x^{39}}{(x^{13} + x^5 + 1)^3} + C
  3. Cx395(x13+x5+1)5+C\frac{x^{39}}{5(x^{13} + x^5 + 1)^5} + C
  4. DNone of these

Correct answer

A. x393(x13+x5+1)3+C\frac{x^{39}}{3(x^{13} + x^5 + 1)^3} + C

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