Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

The value of  integral \(\int_1^52^x\,dx=?\) is-

 

Options:

-30/log(2)

-30/log(5)

30/log(5)

30/log(2)

Correct Answer:

30/log(2)

Explanation:

We have integral \(\int_1^52^x\,dx=?\)

$2^x = e^{xlog 2}$ 

⇒  $\int_1^5e^{xlog 2} dx=\frac{2^x}{log2}$ for x = 1 to x= 5

                                 = $\frac{2^5 - 2^1}{log2} = \frac{30}{log2}$