Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

$\int\frac{dx}{x^a}=$

Options:

$\frac{x^{1-a}}{1-a}+C$ for all $a∈R$

$2\sqrt{x+1}+C$ for $a=\frac{1}{2}$

$\frac{3}{2}x^{\frac{3}{2}}+C$ for $a=\frac{-1}{2}$

$\frac{3}{4}x^{\frac{3}{4}}+C$ for $a=\frac{-1}{3}$

Correct Answer:

$\frac{x^{1-a}}{1-a}+C$ for all $a∈R$

Explanation:

$\int x^{-a}dx=\frac{x^{1-a}}{1-a}+C$