2 " a2x2 x3 sinaxdx = cosax (93) ! (98) ebx 1 cos(ax)dx ebx asinax = + bcosax ! ! sinaxsinhbxdx = (110) 1 !!!!!!!!!! ! sinhaxcoshbxdx = (112) 1 [ ] !!!!!!!!!!

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Indefinite Integrals Rules Integration By Parts ∫ uv′ = uv − ∫ u′v Integral of a constant ∫f (a) dx = x · f (a) Take the constant out ∫a · f (x) dx = a · ∫f (x) dx Sum Rule ∫f (x) ± g (x) dx = ∫f (x) dx ± ∫g (x) dx

1. \ (\quad \displaystyle ∫u^n\,du=\frac {u^ {n+1}} {n+1}+C,\quad n≠−1\) 2. \ (\quad \displaystyle ∫\frac {du} {u} =\ln |u|+C\) 3. \ (\quad \displaystyle ∫e^u\,du=e^u+C\) 4. \ (\quad \displaystyle ∫a^u\,du=\frac {a^u} …

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0 < φ < 2π.

2 2 42.

1. Common Integrals. 2. Integrals of Rational Functions. 4. Integrals of Logarithmic Functions. 2 ! i ⋅ i ! 5. Integrals of Trig. Functions.

Check out our this complete list of solved integrals, ideal to use when you need to solve basic integrals or use change of variables.

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