Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

Match List I with List II.

List I

List II

A. $∫5x^4dx$

I. $\frac{e^{3x}}{3}+C$

B. $∫e^{3x}dx$

II. 3e3x + C

C. $∫9e^{3x}dx$ 

III. 20x3 + C

D. $∫60x^2dx$

IV. x5 + C

Choose the correct answer from the options given below

Options:

A-III, B-I, C-II, D-IV

A-IV, B-III, C-II, D-I

A-IV, B-II, C-I, D-III    

A-IV, B-I, C-II, D-III

Correct Answer:

A-IV, B-I, C-II, D-III

Explanation:

A. $∫5x^4dx$ = $\frac{5x^5}{5}+C$ = x5 + C, (A-IV)

B. $∫e^{3x}dx$ = $\frac{e^{3x}}{3}+C$, (B-I)

C. $∫9e^{3x}dx$ = $\frac{9.e^{3x}}{3}+C=3e^{3x}+C$, (C-II)

D. $∫60x^2dx$ = $\frac{60x^3}{3}+C=20x^3+C$, (D-III)