What is `int_(-pi/2)^(pi/2) x sinx dx` equal to ?

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`int_(0)^(pi//2) x sin x dx ` is equal to `int_(0)^(pi//2) x sin x dx ` is equal to
Show that 0 to pi/2 integral x/sinx+cosx dx = π/2√2 log (√2+1) || Vvvip || Definite Integration Show that 0 to pi/2 integral x/sinx+cosx dx = π/2√2 log (√2+1) || Vvvip || Definite Integration
`int_(0)^(pi//2)x sin x dx=` `int_(0)^(pi//2)x sin x dx=`
`int_(-pi/2)^(pi/2)|sinx|dx` `int_(-pi/2)^(pi/2)|sinx|dx`
Examples: `int_(-pi/2) ^(pi/2) 1 / (1 + e^sinx) dx` Examples: `int_(-pi/2) ^(pi/2) 1 / (1 + e^sinx) dx`
Verify the Trigonometric Identity cos(pi/2 + x) = -sin(x) Verify the Trigonometric Identity cos(pi/2 + x) = -sin(x)
Q3 | Integral 0 to pi/2 sin x / sin x + cos x dx | Integrate sin x / sin x + cos x dx from 0 to pi Q3 | Integral 0 to pi/2 sin x / sin x + cos x dx | Integrate sin x / sin x + cos x dx from 0 to pi
Differentiation and integration important formulas||integration formula Differentiation and integration important formulas||integration formula