Which of the following integrals cannot be evaluated using a simple substitution?

The integral cannot be evaluated by using a simple substitution.Option (c) is correct.

Further explanation:

Given:

The integrals are as follows,

(a).

(b).

(c).

(d). None of these.

Explanation:

Option (a)

The integral is

Substitute for in integral

The integral can be obtained as follows,

Option (a) can be evaluated by simple substitution.

Option (b)

The integral is

The integral can be obtained as follows,

Option (b) can be evaluated by simple substitution.

Option (c)

The integral is

Substitute for in integral

The integral can be obtained as follows,

Option (c) cannot be evaluated by simple substitution as we have to use integration by parts.

The integral cannot be evaluated by using a simple substitution.Option (c) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: integral, evaluated, simple substitution, integration, differentiation, exponential.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.