Mathematics Tes...

\(\int_{1}^{4} \frac{x^{2}+x}{\sqrt{2 x+1}} d x\) is equal to:

What is the solution to differential equation \(\frac{d x}{d y}+\frac{x}{y}=0\)?

Find the values of \({k}\) so the line \(\frac{2 {x}-2}{2 {k}}=\frac{4-{y}}{3}=\frac{{z}+2}{-1}\) and \(\frac{{x}-5}{1}=\frac{{y}}{{k}}=\frac{{z}+6}{4}\) are at right angles

If (x) is an odd periodic function with period 2, then f(4) equal to:

If the vectors \(\vec{a}=2 \hat{i}-3 \hat{j}-\hat{k}\) and \(\vec{b}=\hat{i}+4 \hat{j}-2 \hat{k}\) represent the two sides of any triangle, then the area of that triangle is:

\(\underset{{x \rightarrow 1}}\lim \frac{1-\sqrt{x}}{\cos ^{-1} x}\) is equal to:

The differential equation of the family of curves y = c₁e^x + c₂e^-x is:

If \(sinθ = \frac{24}{25}\) and \(θ\) lies in the second quadrant, the \(secθ+tanθ = \)?