int 0 ^ pi/2 cos x.e^ sin x dx is equal to | Integral from 0 to pi/2 of e^cos x sin x dx

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Integral from 0 to pi/2 of e^cos x sin x dx (U-substitution) Integral from 0 to pi/2 of e^cos x sin x dx (U-substitution)
`int_(0)^(pi//2) e^(x) (sin x + cos x) dx` `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`
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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
Integral 0 to pi/2 root sin x / root sin x + cos x dx | 0 to pi/2 root over sin x / root. Integral 0 to pi/2 root sin x / root sin x + cos x dx | 0 to pi/2 root over sin x / root.
integral 0 to (pi/2) (sinx-cosx)/(1+sinxcosx) dx || `int_(0)^((pi)/(2))(sinx-cosx)/(1+sinxcosx)dx` integral 0 to (pi/2) (sinx-cosx)/(1+sinxcosx) dx || `int_(0)^((pi)/(2))(sinx-cosx)/(1+sinxcosx)dx`
Evaluate: integrate e ^ x * sin x dx from 0 to pi/2 Evaluate: integrate e ^ x * sin x dx from 0 to pi/2