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$\int \frac{dx}{\sqrt{x+1}-\sqrt{x}}$ equals:
NETNUST Entry TestMathematicsIntegration
$\int \frac{1}{\sqrt{x}(\sqrt{x}+1})dx$ equals:
NETNUST Entry TestMathematicsIntegration
$\int \frac{\sqrt{y}(y+1)}{y}dy {y>0}$ equals:
NETNUST Entry TestMathematicsIntegration
$\int \frac{e^{2x}+e^{x}}{e^{x}}dx$ equals:
NETNUST Entry TestMathematicsIntegration
$\int (\sqrt{x}+1)^{2}$ equals:
NETNUST Entry TestMathematicsIntegration
$\int \frac{dx}{e^{x}+1}$ equals:
NETNUST Entry TestMathematicsIntegration
$\int \sqrt{x^{2}-2x^{4}} dx$ equals:
NETNUST Entry TestMathematicsIntegration
The integral of $3x^{5}dx$ is:
NETNUST Entry TestMathematicsIntegration
$\int \frac{x}{\sqrt{4+x^{2}}}dx$ is equal to
NETNUST Entry TestMathematicsIntegration
$\int e^{x}dx$ is equal to:
NETNUST Entry TestMathematicsIntegration
$\int a^{u}du$ is equal to:
NETNUST Entry TestMathematicsIntegration
The integral of $10^{-x)$ is:
NETNUST Entry TestMathematicsIntegration
$\int f(x)$ is known as:
NETNUST Entry TestMathematicsIntegration
An integral of $\frac{1}{2}dx$ is:
NETNUST Entry TestMathematicsIntegration
If a flag-staff 6 m high placed on the top of a tower makes the shadow $2\sqrt{3}$ m on the ground, then the angle of elevation of the sun is
NETNUST Entry TestMathematicsFundamentals of Trignometry
The angle of depression of the ship from the top of a tower 30 m high is $60^{\circ}$, the distance of the ship from the tower is
NETNUST Entry TestMathematicsFundamentals of Trignometry
A pole of 20 m high is broken in a wind storm and the top of the pole makes angle $30^{circ}$ with the ground. The height of the point at which it is broken is
NETNUST Entry TestMathematicsFundamentals of Trignometry
The angle of depression of a point A on the ground from the top of the tower is $30^{\circ}$, then the angle of elevation of the top of the tower at the point A is
NETNUST Entry TestMathematicsFundamentals of Trignometry
The angle of depression of the point at a distance 70 m from the foot of the tower from the top of the tower is $45^{\circ}$. The height of the tower is
NETNUST Entry TestMathematicsFundamentals of Trignometry
The angle of depression from the top of a tower at a point P on the ground is $30^{\circ}$. If the distance of the tower from P is 24 m, the height of the tower is
NETNUST Entry TestMathematicsFundamentals of Trignometry
When the angle between the ground and the sun is $30^{\circ}$, flag pole casts a shadow of 40 m long. The height of the top of the flag is
NETNUST Entry TestMathematicsFundamentals of Trignometry
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of $55^{\circ}$ to the horizontal, the length of the string is
NETNUST Entry TestMathematicsFundamentals of Trignometry
Two towers each 120 m high are 80 m apart. The measure of the angle of elevation from the base of one tower to the top of the other is
NETNUST Entry TestMathematicsFundamentals of Trignometry
The angle of elevation of the top of a tree from a point 17 m from its foot is $42^{\circ}$. The height of the tree is
NETNUST Entry TestMathematicsFundamentals of Trignometry
A ladder leaning against a vertical wall makes an angle of $24^{\circ}$ with the wall. Its foot is 5 m from the wall. Its length is
NETNUST Entry TestMathematicsFundamentals of Trignometry