int(-pi//2)^(pi//2) cos theta (1+sin the...

`int_(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=`

A

`(14)/(3)`

B

`(8)/(3)`

C

`(5)/(14)`

D

0

Text Solution

Verified by Experts

The correct Answer is:

B

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AAKASH SERIES-DEFINITE INTEGRALS-PRACTICE EXERCISE

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int(-pi)^(pi) (Cos a x - Sin a x)^(2) dx=
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int(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=
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int(-pi//2)^(pi//2) sin^(2) x cos^(2) x(sin x + cos x) dx=
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If f(x)={{:(x " for "x lt 1),(x-1 " for "x ge1):} then int(0)^(2)x^(2...
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If int(n)^(n+1) f(x) dx = n^(2) +n, AA n in I then the value of int(-3...
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int(0)^(pi) (tan x)/(sec x + cos x) dx=
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For m=n and m, n in N then the value of int(0)^(pi) cos m x cos n x dx...
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If n is an integer then the value of int(0)^(pi) e^(cos^2x)cos^(3) ((2...
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int(0)^(pi) (x tan x)/( sec x + tan x) dx=
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int(0)^(pi) x f (sin x) dx is equal to
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int(-1)^(1)log((2+x)/(2-x))dx=
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int(-1)^(1)(x^(27)Cos x + e^(x))dx=
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int(-pi//2)^(pi//2) Cos x. Sin h x dx=
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int(0)^(pi) cos^(5) x dx=
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int(0)^(2pi) sin^(7) x dx=
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Find the value of int(0)^(pi) (x)/(1+sin x) dx
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int(0)^(pi) (x Sin x)/(1+Cos^(2)x)dx=
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If 0 lt a lt b, then int(a)^(b) (|x|)/(x) dx=
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