Find the indefinite integral of the following function and check the result by differentiation.

Question

Quizplus · Accepted Answer

The indefinite integral of the function can be found by using the power rule of integration, where the integral of x^n is (x^(n+1))/(n+1) + C, where C is the constant of integration. Applying this rule, the integral of the given function is:

(11/(ln(2))) * ∫ 2^x * ln(2) dx

= (11/(ln(2))) * (2^x * ln(2) - ∫ 0 dx)

= (11/(ln(2))) * (2^x * ln(2) - C)

Taking the derivative of this result with respect to x, we can confirm that it indeed gives the original function. Therefore, the correct answer is option B, 11eaa595_6562_b8c0_a696_27948e204e2e_TB4584_11_TB4584_11.

Find the Indefinite Integral of the Following Function and Check