# Is there any other method of integration? besides the best known .

Is there any other method of integration besides the best known as:

• Substitution,
• Integration by parts,
• Trigonometric,
• Trigonometric Substitutions,
• Partial Fractions,
• Improper Integrals, and
• Laplace?

Some method that is taught in doctorates etc...

• The question is a bit broad. – copper.hat Mar 30 '19 at 0:28
• You could read about "differentiating under the integral sign". See e.g. math.stackexchange.com/questions/2157226/…. – Minus One-Twelfth Mar 30 '19 at 0:29
• If $$f(x) = \sum_{k=0}^{\infty}(-1)^k c_k x^{2k}$$ then $$\int_0^{\infty}f(x)dx = \frac{\pi}{2}c_{-\frac{1}{2}}$$ – Count Iblis Mar 30 '19 at 0:35
• @CountIblis is that a special case of Ramanujan's master theorem? – clathratus Mar 30 '19 at 1:50
• @clathratus Yes! – Count Iblis Mar 30 '19 at 4:32