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This mock test of BASIC CONCEPTS OF DIFFERENTIAL AND INTEGRAL CALCULUS MCQ Test - 4 for Quant helps you for every Quant entrance exam.
This contains 30 Multiple Choice Questions for Quant BASIC CONCEPTS OF DIFFERENTIAL AND INTEGRAL CALCULUS MCQ Test - 4 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Integrate w.r.t x, (1-3x)(1+x)

Solution:

QUESTION: 2

Integrate w.r.t x, x^{6/5}

Solution:

QUESTION: 3

Integrate w.r.t x, x^{-1/2}

Solution:

QUESTION: 4

Integrate w.r.t x, (x^{4} + 1)/x^{2}

Solution:

QUESTION: 5

Integrate w.r.t x, x^{4/3}

Solution:

QUESTION: 6

Integrate w.r.t x, x^{-1}[ax^{3} + bx^{2} +cx +d]

Solution:

QUESTION: 7

Integrate w.r.t x, (4x^{3} + 3x^{2} -2x +5)

Solution:

QUESTION: 8

Integrate w.r.t x, (ax^{2}+ bx^{-3} + cx^{-7})x^{2}

Solution:

QUESTION: 9

Integrate w.r.t x, (x^{2} -3x + x^{1/3} + 7)x^{-1/2}

Solution:

QUESTION: 10

Integrate w.r.t x, (x^{2} - 1)^{2}

Solution:

QUESTION: 11

Integrate w.r.t x, (x-1/x)^{3}

Solution:

QUESTION: 12

Integrate w.r.t x, (3x^{-1}+ 4x^{2} -3x +8)

Solution:

QUESTION: 13

Integrate w.r.t x, (x^{1/2} -x^{-1/2})

Solution:

QUESTION: 14

Integrate w.r.t x, (x^{1/2} -x/2 + 2x^{-1/2})

Solution:

QUESTION: 15

Integrate w.r.t x, (7x^{2} -3x+ 8-x^{-1/2} +x^{-1} +x^{-2})

Solution:

QUESTION: 16

If y = 9x^{4 }- 7x^{3 }+ 8x^{2 }- 8x^{-1 }+ 10x^{-3} then dy/dx is

Solution:

QUESTION: 17

If y = 5x^{2} then dy/dx is

Solution:

QUESTION: 18

If y = x^{3} then dy/dx is

Solution:

QUESTION: 19

If y = x^{2/3} then dy/dx

Solution:

QUESTION: 20

If y=(x+1)(2x-1)/(x-3) then dy/dx is

Solution:

QUESTION: 21

If y = x^{-8} then dy/dx is

Solution:

QUESTION: 22

If y=[(1-x)/x]^{2} then dy/dx is

Solution:

QUESTION: 23

If y = (x^{2 }- 1)/(x^{2 }+ 1) then dy/dx is

Solution:

QUESTION: 24

If y=(3x^{2}+5)(2x^{3}+x+7) then dy/dx is

Solution:

QUESTION: 25

If y = 2x^{2 }+ x then dy/dx is

Solution:

QUESTION: 26

If y = (4/3)x^{3 }– (6/7)x^{7 }+ 4x^{-3} then dy/dx is

Solution:

QUESTION: 27

If y = 4x^{3 }- 7x ^{4} then dy/dx is

Solution:

QUESTION: 28

If f’(x) = x -1, the equation of a curve y = f(x) passing through the point (1, 0) is given by

Solution:

QUESTION: 29

If y=2x^{3/2} (x^{1/2 }+ 2)(x^{1/2 }- 1) then dy/dx is

Solution:

QUESTION: 30

If y=(3x^{2}+1)(x^{3}+2x) then dy/dx is

Solution:

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