Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

The value of $∫(5x-2)^3dx$ is :

Options:

$3(5x-2)+C; $ C is constant of integration

$15(5x-2)^2+C; $ C is constant of integration

$(5x-2)^4+C; $ C is constant of integration

$\frac{(5x-2)^4}{20}+C; $ C is constant of integration

Correct Answer:

$\frac{(5x-2)^4}{20}+C; $ C is constant of integration

Explanation:

$∫(5x-2)^3dx$

$=\frac{1×(5x-2)^{3+1}}{5×(3+1)}+C$

$=\frac{(5x-2)^4}{20}+C$ Using $∫(ax-b)^ndx=\frac{(ax-b)^{n+1}}{a×(n+1)}+C$