Evaluate x^ 5 +3 x^ 4 +x^ 3 -2 x^ 2 +5 x+7 x^ 3 d x .

Mathematics · JEE Main · NTA Exams — Integral Calculus

1. \(\frac{x^{3}}{3}+3 x^{2}-x+2 \log |x|-\frac{5}{x}+c\)
2. \(\frac{x^{3}}{3}+\frac{3}{2} x^{2}+x+2 \log |x|-\frac{5}{x}-\frac{7}{2} \cdot \frac{1}{x^{2}}+c\)
3. \(\frac{x^{3}}{3}+\frac{3}{2} x^{2}+x-2 \log |x|-\frac{5}{x}-\frac{7}{2} \cdot \frac{1}{x^{2}}+c\)
4. None of these

Answer

(B) x^ 3 3 + 3 2 x^ 2 +x+2 |x|- 5 x - 7 2 1 x^ 2 +c

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