Integrals Mock Tests

42 questions available

Integrals Mock Test 1

Questions: 30

Integrals Mock Test 2

Questions: 12

Sample Questions

Class 12 Mathematics

∫ eˣ(1/x − 1/x²) dx equals:

A eˣ/x + C

B eˣ · x + C

C eˣ/x² + C

D eˣ · ln x + C

Class 12 Mathematics

The value of ∫₀¹ x eˣ dx is:

A 1

B e − 1

C e

D 1 − e

Class 12 Mathematics

The integral ∫₀^1 tan⁻¹x dx is equal to:

A π/4 − (1/2) ln 2

B π/4 + (1/2) ln 2

C π/4

D 1 − π/4

Class 12 Mathematics

The value of ∫₀^(π/2) cos²x dx is:

A π/4

B π/2

C π/6

D π/3

Class 12 Mathematics

The integral ∫₀^π x sin³x dx is equal to:

A 2π/3

B π²/4

C π²/2

D π

Class 12 Mathematics

The integral ∫ x/(x² + 1) dx equals:

A (1/2)ln|x² + 1| + C

B ln|x² + 1| + C

C 2ln|x² + 1| + C

D (1/2)tan⁻¹x + C

Class 12 Mathematics

The integral ∫ dx/(√x + √x) is equal to:

A 2√x + C

B (2/3)x³ᐟ² + C

C √x + C

D ln(√x) + C

Class 12 Mathematics

The value of the integral ∫₀¹ x eˣ dx is:

A 1

B e − 1

C 1/e

D e

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