Home
Class 12
MATHS
Evaluate: int((2^x+3^x)^2)/(6^x)\ dx...

Evaluate: `int((2^x+3^x)^2)/(6^x)\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{(2^x + 3^x)^2}{6^x} \, dx, \] we can start by expanding the numerator. ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(2x-3)/(x^2+6x+13)\ dx

Evaluate: (i) int(2^(x)+3^(x))/(5^(x))dx (ii) int((a^(x)+b^(x))^(2))/(a^(x)b^(x))dx

Evaluate int(3x^2)/(x^(6)+1)dx

Evaluate : int(x^(2)+3x-1)/(2x)dx

Evaluate: int(x^3 +3x+5)/(x+2)dx

Evaluate : int(2x+3)/(2x^(2)+6x+5)dx .

Evaluate: (i) int(e^(2x))/(e^(2x)-2)dx (ii) int(2cos x-3sin x)/(6cos x+4sin x)dx

Evaluate- inte^(x^3)x^2dx

Evaluate: int(x^(3))/(x+2)dx

Evaluate : int(x+3)/((x+2)^(2)(x+1))dx