# ∫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

4

ex 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

4

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

4

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

4

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

4

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

1.

2.

3.

4.

4

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)

4

e2x (1 – x + y)= (1 + x - y)

Explanation :
No Explanation available for this question

# If OACB is a parallelogram with is equal to

1.

2.

3.

4.

4

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

4

π/3

Explanation :
No Explanation available for this question

1.  0 unit

2.  1 unit

3.  2 unit

4.  3 unit

4