Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

If \(\frac{d}{dx}f\left(x\right)=4x^3-\frac{3}{x^4}\) such that \(f\left(2\right)=0\). Then \(f\left(x\right)\) is

Options:

\(x^4+\frac{1}{x^3}-\frac{129}{8}\)

\(x^3+\frac{1}{x^3}+\frac{129}{8}\)

\(x^4+\frac{1}{x^3}+\frac{129}{8}\)

\(x^{3}+\frac{1}{x^4}-\frac{129}{8}\)

Correct Answer:

\(x^4+\frac{1}{x^3}-\frac{129}{8}\)

Explanation:

Integrate both sides