Integrate the following with respect to x: eexsecx(1+tanx)

Integrate the following with respect to x:

`"e"^x sec x(1 + tan x)`

Sum

Let I = I

= `int "e"^x (sec x + sec x tan x) "d"x`

Take f(x) = sec x

f‘(x) = sec x tan x

This is of the form of `int "e"^x ["f"(x) + "f'"(x)] "d"x = "e"^x "f"(x) + "c"`

= e^x sec x + c

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Chapter 11: Integral Calculus - Exercise 11.9 [Page 213]

Chapter 11 Integral Calculus
Exercise 11.9 | Q 3 | Page 213

Evaluate : `int1/(x(3+logx))dx`

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(2x – 5)(3x + 4x)

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x(1 – x)¹⁷

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sin⁵x cos³x

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25xe^–5x

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`"e"^("a"x) cos"b"x`

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`logx/(1 + log)^2`

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`1/(4 - x^2)`

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`1/sqrt(xx^2 + 4x + 2)`

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`1/sqrt((2 + x)^2 - 1)`

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`(x + 2)/sqrt(x^2 - 1)`