I need to learn how to find the definite integral of the square root of a polynomial such as: $$\sqrt {36x + 1}$$ or $$\sqrt {2x^2 + 3x + 7} $$ EDIT: It's not guaranteed to be of the same form.

Mar 17, 2015 · A different approach, building up from first principles, without using cos or sin to get the identity, $$\arcsin (x) = \int\frac1 {\sqrt {1-x^2}}dx$$ where the integrals is from 0 to z. …

When we integrate an expression involving a square root expression $\sqrt {A}$, letting the radicand $A$ be the square of another variable sometimes works. For example, in your case, …

May 15, 2013 · How to integrate $\int \sqrt {x^2+a^2}dx$ Ask Question Asked 12 years, 5 months ago Modified 2 years, 4 months ago

Oct 23, 2014 · I am honestly embarrassed to ask this because i feel like i should know how to do this but: $ \\int \\frac{x}{\\sqrt{2x-1}}dx $ Try to use u-substitution please

The result consists of an elliptic integral of the first kind and some square root factors. This looks a bit messy at first sight but it turns out that the square root factor cancel out.

Dec 21, 2015 · Integrate the square root of tangent [duplicate] Ask Question Asked 9 years, 10 months ago Modified 9 years, 10 months ago

Feb 21, 2018 · I was trying to do this integral $$\\int \\sqrt{1+x^2}dx$$ I saw this question and its' use of hyperbolic functions. I did it with binomial differential method since the given integral is …

Jun 8, 2018 · In Definite Integral of square root of polynomial , André Nicolas commented: "So you want to integrate $\sqrt {P (x)}$. If $P (x)$ is a linear or quadratic polynomial, we can …

I have to use the technique of integration by parts to evaluate the integrals. I'm having trouble with a particular problem: $$ \\int x (\\sqrt{x+2}) dx $$ I'm using u-substitution, but since I'm a...