1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The value of

$$\sum\limits_{n = 1}^{10} {} \int\limits_{ - 2n - 1}^{ - 2n} {{{\sin }^{27}}} x\,dx + \sum\limits_{n = 1}^{10} {} \int\limits_{2n}^{2n + 1} {{{\sin }^{27}}} x\,dx$$ is equal to
A
27
B
54
C
$$ - $$54
D
0
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
$$\int\limits_0^2 {[{x^2}]} \,dx$$ is equal to
A
1
B
$$5 - \sqrt 2 - \sqrt 3 $$
C
$$3 - \sqrt 2 $$
D
8/3
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If the tangent to the curve y2 = x3 at (m2, m3) is also a normal to the curve at (m2, m3), then the value of mM is
A
$$ - {1 \over 9}$$
B
$$ - {2 \over 9}$$
C
$$ - {1 \over 3}$$
D
$$ - {4 \over 9}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $${x^2} + {y^2} = {a^2}$$, then $$\int\limits_0^a {\sqrt {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} dx = } $$
A
2$$\pi a$$
B
$$\pi a$$
C
$${1 \over 2}\pi a$$
D
$${1 \over 4}\pi a$$
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