∫sec2(u) du = tan(u) + C ∫cosec2(u) du = -cot(u) + C ∫sec(u) tan(u) du =sec(u) + C ∫cosec(u) cot(u) du = - cosec(u) + C ∫(a2 - u2)-1/2du = - arcsin(u/a) + C ∫(a2 + u2)-1/2du = (1/a) arctan(u/a) + C ∫(a2 - u2)-1/2du ...
Integral of csc xis, ∫ cosec x dx = ln |cosec x - cot x| + C (or) - ln |cosec x + cot x| + C (or) ln | tan (x/2) | + C Integral of sec xis, ∫ sec x dx = ln |sec x + tan x| + C (or) (1/2) ln | (1 + sin x) / (1 - sin x) (or) ln | ...
\(a^{2}+x^{2}\) \(x=a \tan \theta\) or \(a \cot \theta\) \(a^{2}-x^{2}\) \(x=a \sin \theta\) or \(a \cos \theta\) \(x^{2}-a^{2}\) \(x=a \sec \theta\) or \(a \operatorname{cosec} \theta\) \(\sqrt{\frac{a-x}{a+x}}\) or, \(\sqrt{\fr...
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B) integral of (cos 3x)/(sqrt(2 + sin 3x)) dx. Integrate integral {cos x} / {sin x (1 + sin x) dx}. Use integration by parts to find the integral of integral_0^6 sin(x/2). 2 cos x - 4 sin x + 5 sec^2 x + cosec^2 x. Integrate with respect to x....
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