How to integrate when there is a radical in the denominator

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower limits/boundaries are known, otherwise the integral is indefinite.

There are various formulas, depending on the function, and methods used in evaluating the integral of a function. Some of the methods includes: by direct integration, by substitution, by integration by parts, etc

Organized Videos:
✅The Integral
✅Riemann Sum Approximation
✅Evaluate Integrals
✅Find the Particular Solution
✅Find The Integral of The Expression
✅Evaluate Using The Second Fundamental Theorem of Calculus
✅Trapezoid Area Approximation
✅Integration | Learn About
✅Separated Integrals Integration
✅Find The Average Value of a Function
✅Find the Antiderivative of a Function

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[GuzmanA]

Thank you for this! So much faster than U substitution!

[swanandideshmukh]

hey great explanation but i hv to say that i can definetly feel the difference in the level of education in india like over here our mental calculations are definetely way faster than abroad especially us

[waterbuffalo]

Thank you for your videos. I’m having a great deal of trouble giving meaning to these symbols, despite being able to do them formulaically. Do you have any tips for me so that I can look at the world around me and see where to apply things like integrating and differentiating? I have passion to learn math, but I just don’t see the bigger picture like I should. I want to imbue math with passion, not with the robotic mindset that I have now.

I appreciate the help.

[migueljosec]

Tu vídeo me ayudó un montón,




pero yo prefiero, x²+1=u, du=2x•dx -> dx=du/2x

[franktom]

a good teacher should write what he talks about in a step by step solution. if a beginner watches this video he/she will not get the ideas of this kind of integration problem.

[andrewboulton]

When you said 1 over 1/2, where did you pull the one from. I understand the 1/2 is the power of the conserved u but where is the 1 from?

[honey_bee]

Hey can't we use the substitution method for this like
Put x² + 1 = t then
2x dx = dt
xdx = dt/2
Now dt/ √t is very simple to solve. I was here for a bit more complex radicals in dinominator. But thanks for efforts.

[mr.x]

ما فهمت شي هو العربي كوه افتهملهم نوب انت🤣🤣💔