Integrals Mock Tests

42 questions available

Integrals Mock Test 1

Questions: 30

Integrals Mock Test 2

Questions: 12

Sample Questions

CUET Mathematics

The integral ∫ (1/x) dx equals:

A ln|x| + C

B 1/x² + C

C x + C

D eˣ + C

Class 12 Mathematics

The value of ∫₀¹ x · eˣ dx is:

A e − 2

B e − 1

C 2 − e

D 1

CUET Mathematics

The integral ∫ sin x dx equals:

A −cos x + C

B cos x + C

C sin x + C

D tan x + C

Class 12 Mathematics

The value of ∫₀^(π/2) sin 2x dx is:

A 1

B 2

C 0

D −1

Class 12 Mathematics

The integral ∫ (x / (x⁴ − x² + 1)) dx can be evaluated by substituting u = x − 1/x. The result is:

A (1/√3) · tan⁻¹[(2x²−1)/√3] + C

B (1/2) · tan⁻¹(x − 1/x) + C

C tan⁻¹(x²) + C

D (1/√3) · tan⁻¹[(x²−1)/√3] + C

Class 12 Mathematics

The integral ∫₀^π sin²x cos²x dx is equal to:

A π/8

B π/4

C π/2

D π/16

Class 12 Mathematics

∫₀^(π/2) sin²x dx equals:

A π/3

B π/6

C π/2

D π/4

Class 12 Mathematics

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

A 2π/3

B π²/4

C π²/2

D π

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