MCQ
$\int\frac{\text{dx}}{\sqrt{\text{x}}}=$
- A$\sqrt{\text{x}}+\text{k}$
- ✓$2\sqrt{\text{x}}+\text{k}$
- C$\text{x}+\text{k}$
- D$\frac{2}{3}\times\frac{3}{2}+\text{k}$
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$\int_0^1 {(1 + {{\cos }^8}x)(a{x^2} + bx + c)\,dx} = \int_0^2 {(1 + {{\cos }^8}x)(a{x^2} + bx + c)\,dx} $
Then the quadratic equation $a{x^2} + bx + c = 0$ has
($\sin 3 \theta ) x - y + z = 0$
($\cos 2 \theta ) x + 4 y + 3 z = 0$
$2 x + 7 y + 7 z = 0$
then the number of principal values of $\theta$ is
