∫ex(1+cot x+cot2x) dx is equal to:

1. ex cot x + c

2. -ex cot x + c

3. excosec x + c

4. -excosec x + c

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Correct Answer :

e^x cot x + c

Explanation :
No Explanation available for this question

∫ (sin6x/cos8x) dx is equal to

1. tan 7x+c

2. tan7x / 7 +c

3. tan7x / 7 +c

4. sec7x+c

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Correct Answer :

tan⁷x / 7 +c

Explanation :
No Explanation available for this question

If f(x) is integrable on (0, a), then is equal to:

1. 0

2. 1

3. a

4. a/2

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Correct Answer :

a/2

Explanation :
No Explanation available for this question

The area (in square units) of the region bounded by the curve x2=4y, the line x=2 and the x- axis is equal to:

1. 1 sq unit

2. 2/3 sq unit

3. 4/3 sq unit

4. 8/3 sq unit

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Correct Answer :

2/3 sq unit

Explanation :
No Explanation available for this question

The area in square units bounded by the curves y=x3, y=x2 and the ordinates x=1, x=2 is equal to

1. 17/12 sq unit

2. 12/17 sq unit

3. 2/7 sq unit

4. 7/2 sq unit

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Correct Answer :

17/12 sq unit

Explanation :
No Explanation available for this question

If c is a parameter, then the differential equation whose solution is y= c2 + (c/x), is

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Correct Answer :

Explanation :
No Explanation available for this question

The equation of the curve passing through the origin and satisfying the differential equation is

1. e2x (1 – x + y)= (1 + x - y)

2. e2x(1 + x - y)= (1 - x + y)

3. e2x(1 – x + y)= -(1 + x + y)

4. e2x(1 + x + y)= (1 - x + y)

View Answer

Correct Answer :

e^2x(1 – x + y)= (1 + x - y)

Explanation :
No Explanation available for this question

If OACB is a parallelogram with is equal to

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

If θ is an acute angle and the vectors is perpendicular to the vector

1. π/6

2. π/5

3. π/4

4. π/3

View Answer

Correct Answer :

π/3

Explanation :
No Explanation available for this question

If two out of the three are uvectors nit vectors

1. 0 unit

2. 1 unit

3. 2 unit

4. 3 unit

View Answer

Correct Answer :

1 unit

Explanation :
No Explanation available for this question

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