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evaluate the integral of coshx cosx by integration by part method
  ∫ arc(tan4x) dx using integration by parts method

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evaluate the integral of coshx cosx by integration by part method

Take the given integral as I

integration formula
take cosx as the second function and apply integration by parts
simplify and then apply integration by parts again
simplify to get I on the RHS. Solve for I.


integral of coshxcosx by integration by parts
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problem2

  ∫ arc(tan4x) using integration by parts

take 1 as the second function and apply
integration by parts
use substitution method for the second integral
or adjust the numerator and directly use
 
[f'(x) / f(x)] dx = log [f(x)] + C

integral of arctan(4x)using integration
                        by parts method

some problems from integral calculus

* Integrate e^{x^(1/3)}dx

* evaluate integral of [e^(-x) +1] ^2

*evaluate ∫ (sin 3x)^4 dx with limits 0 to pi

* evaluate the integral of sqrt(tan  x)

* evaluate integral of { sqrt{1+(x^2)} } / {x^2}
using integration by parts


*∫ sec³x dx using integration by parts

*integral of (e^(ax) )  cosbx using integration by parts


Area using integral

* evaluate the area of an ellipse (x² /a²) + (y²/b²) =1 using integration

* find the area between y² = x and x² =y

* find the area bounded b y =x² and y = 3x

other questions and problems:


*integral calculus integration formula





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trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
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