Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The value of $$\int\limits_0^\pi {{{\sin }^{50}}x{{\cos }^{49}}x\,dx} $$ is

A
0
B
$$\pi$$/4
C
$$\pi$$/2
D
1
2
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

The value of the integral $\int\limits_3^6 \frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}} d x$ is

A
$\frac{1}{2}$
B
$\frac{3}{2}$
C
2
D
1
3
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

$\int_\limits{-1}^1 \frac{x^3+|x|+1}{x^2+2|x|+1} d x$ is equal to

A
$\log 2$
B
$2 \log 2$
C
$\frac{1}{2} \log 2$
D
$4 \log 2$
4
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

$\int\limits_0^{1 \cdot 5}\left[x^2\right] d x$ is equal to

A
$2$
B
$2-\sqrt{2}$
C
$2+\sqrt{2}$
D
$\sqrt{2}$
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