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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

Evaluate : ∫ x^5 1 + x^3 dx .

Evaluate : ∫x51+x3dx\int x^5 \sqrt{1 + x^3} dx.

Options

  1. A115(1+x3)5/2−19(1+x3)3/2+c\frac{1}{15}(1 + x^3)^{5/2} - \frac{1}{9}(1 + x^3)^{3/2} + c
  2. B215(1+x3)5/2−19(1+x3)3/2+c\frac{2}{15}(1 + x^3)^{5/2} - \frac{1}{9}(1 + x^3)^{3/2} + c
  3. C215(1+x3)5/2−29(1+x3)3/2+c\frac{2}{15}(1 + x^3)^{5/2} - \frac{2}{9}(1 + x^3)^{3/2} + c
  4. D115(1+x3)5/2−29(1+x3)3/2+c\frac{1}{15}(1 + x^3)^{5/2} - \frac{2}{9}(1 + x^3)^{3/2} + c

Correct answer

C. 215(1+x3)5/2−29(1+x3)3/2+c\frac{2}{15}(1 + x^3)^{5/2} - \frac{2}{9}(1 + x^3)^{3/2} + c

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