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Integral Calculus & ODEs Mock Tests

129 questions available

Integral Calculus & ODEs Mock Test 1

Questions: 30

Integral Calculus & ODEs Mock Test 2

Questions: 30

Integral Calculus & ODEs Mock Test 3

Questions: 30

Integral Calculus & ODEs Mock Test 4

Questions: 30

Integral Calculus & ODEs Mock Test 5

Questions: 9

नमूना प्रश्न

BITSAT Mathematics
The orthogonal trajectories of the family of curves y = Cx² are:
A x² + 2y² = K
B 2x² + y² = K
C x² − y² = K
D xy = K
BITSAT Mathematics
The integral of 1/(x² + 1) dx equals:
A arctan(x) + C
B arcsec(x) + C
C ln(x + 1) + C
D arcsin(x) + C
BITSAT Mathematics
Evaluate ∫₀¹ x · eˣ dx.
A 1
B e − 2
C 2 − e
D e − 1
BITSAT Mathematics
The value of integral from 0 to pi of x·sin^2(x) dx is:
A pi^2/4
B pi^2/2
C pi^2/8
D pi^2
BITSAT Mathematics
The value of the integral ∫₀¹ x³/√(1 - x²) dx is
A 1/4
B 1/3
C 2/3
D 1/2
BITSAT Mathematics
The integral ∫ dx/(x² + 2x + 2) is equal to
A tan⁻¹(x + 1) + C
B 2 tan⁻¹(x + 1) + C
C 2 tan⁻¹((x + 1)/2) + C
D ½ tan⁻¹(x + 1) + C
BITSAT Mathematics
The area of the region bounded by the curves y = |x − 1| and y = 3 − |x| is
A 4 square units
B 8 square units
C 2 square units
D 6 square units
BITSAT Mathematics
The general solution of dy/dx = y is:
A y = Ce^x
B y = Cx
C y = e^x + C
D y = C·e^(-x)

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