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

Sample Questions

BITSAT Mathematics

∫ sin²x dx equals:

A x/2 − sin(2x)/4 + C

B x/2 + sin(2x)/4 + C

C −cos²x + C

D sin²x/2 + C

BITSAT Mathematics

The value of the integral ∫(x · eˣ) dx is

A eˣ(x − 1) + C

B eˣ(x + 1) + C

C xeˣ + C

D eˣ/x + C

BITSAT Mathematics

The integrating factor of the differential equation dy/dx + y/x = x is:

A x

B 1/x

C eˣ

D ln x

BITSAT Mathematics

The area bounded by the parabola y² = 4x and the line x = 1 is

A 4/3

B 8/3

C 8

D 16/3

BITSAT Mathematics

The value of ∫₀^(π/2) sin²x dx is:

A π/4

B π/2

C π/8

D π/3

BITSAT Mathematics

The order and degree of the differential equation d³y/dx³ + 2·d²y/dx² + dy/dx = 0 are:

A 3 and 1

B 3 and 3

C 1 and 3

D 2 and 1

BITSAT Mathematics

The value of ∫₀^π x · sin²x dx is

A π²/4

B π²/2

C π²/8

D 3π²/8

BITSAT Mathematics

The value of ∫ sin(2x) dx is:

A -cos(2x)/2 + C

B cos(2x)/2 + C

C -2cos(2x) + C

D 2cos(2x) + C

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