Integral of x^(-10) is NOTE: x^n means ‘x’ to the power ‘n’

• A) None of these
• B) -10x^(-11)+C
• C) - 1/(9x^9)+C
• D) 1/(9x^9)+C

If f (x) = |x| -2 is defined on the interval [-2, 2], then which of the following is true about it.

• A) There is no such point in the interval (-2, 2) where f(x) has a horizontal tangent.
• B) It is discontinuous on the interval [-2, 2].
• C) None of these.
• D) There is a point in the interval (-2, 2) where f(x) has a horizontal tangent

summation of (3) ;where ( j varies from 1 to 4) indicates to add ………to itself 4 times.

• A) 3
• B) 2
• C) 4
• D) 1

To find the area between continuous curve f(x) and the closed interval [a,b] on x-axis, we take -------------- of f(x) on the interval [a,b].

• A) left hand limit
• B) right hand limit
• C) integral
• D) derivative

The indefinite integral of 5sinx is ……….

• A) cosx/5+c
• B) -5cosx+c
• C) -cosx/5+c
• D) 5cosx +c

How many subintervals of length ‘2’ will be formed for the interval [4,16] ?

• A) 4
• B) 7
• C) 5
• D) 6

(1^3)+(2^3)+(3^3)+….+(20^3) equals --------- NOTE: x^n means ‘x’ to the power ‘n’

• A) 42925
• B) 34548
• C) 44100
• D) None of these

If f (x) = x^3 is defined on the interval [-1, 2], then which of the following is true about it

• A) Its relative minimum value does not exist at the critical point.
• B) Its relative minimum value exists at the critical point.
• C) None of these.
• D) Its absolute minimum value exists at the critical point.

Subdivision of an interval is also called ………. of the interval.

• A) Composition
• B) Evaluation
• C) Partition
• D) Separation

In the indefinite integral of x(y^2) w.r.t ‘y’ , the independent variable is ……..

• A) none of these
• B) y
• C) xy
• D) x

Integral of 3sec(x)tan(x) is NOTE: x^n means ‘x’ to the power ‘n’

• A) 3sec(x)+C
• B) None of these
• C) 3tan(x)+C
• D) (3/2)sec^2(x)+C

If integral of ‘h(x)’ from [-2,4] = -5 and integral of ‘g(x)’ from [-2,4] = -9 ,than integral of (6h(x)-8g(x)) from [-2,4] =……..

• A) 42
• B) 40
• C) 41
• D) 43