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Indefinite Integration Mock Tests

43 questions available

Indefinite Integration Mock Test 1

Questions: 30

Indefinite Integration Mock Test 2

Questions: 13

नमूना प्रश्न

CUET Mathematics
The integral ∫ 1/(x² + 6x + 13) dx is equal to:
A (1/2) tan⁻¹((x+3)/2) + C
B tan⁻¹((x+3)/2) + C
C (1/2) sin⁻¹((x+3)/2) + C
D 2 tan⁻¹((x+3)/2) + C
JEE Main Mathematics
The value of ∫₀¹ (x·eˣ)/(1+eˣ)² dx is:
A 1/(1+e) - ln(e/(1+e))
B 1 - 1/(1+e) - ln(1+e)
C 1/(1+e) + ln(e/(1+e))
D -1/(1+e) + ln(e/(1+e))
CUET Mathematics
∫ 1/√(1 - x²) dx is equal to:
A tan⁻¹x + C
B sec⁻¹x + C
C cos⁻¹x + C
D sin⁻¹x + C
CUET Mathematics
The integral of x sin(x) dx is:
A x cos(x) + sin(x) + C
B sin(x) - x cos(x) + C
C -x cos(x) + sin(x) + C
D -x sin(x) + cos(x) + C
CUET Mathematics
The integral of x eˣ dx is:
A eˣ(x − 1) + C
B eˣ(x + 1) + C
C x eˣ + C
D eˣ/x + C
CUET Mathematics
The value of ∫ eˣ(sin x + cos x) dx is:
A eˣ sin x + C
B eˣ cos x + C
C eˣ(sin x + cos x) + C
D eˣ(sin x − cos x) + C
CUET Mathematics
The value of ∫ dx/(√x + √x) is:
A 2√x + C
B √x + C
C x + C
D 2x + C
JEE Main Mathematics
The value of ∫₀¹ x·eˣ dx is:
A 1
B e − 1
C e
D 1/e

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