Question

The value of the integral \( \int_1^4 \sqrt{t} \, dt \) is:

• A. \( a^3 \)
• B. \( 4e^3 \)
• C. \( 4e^2 \)
• D. \( 4 \sqrt{2} \)

Hint:

When solving integrals involving square roots, use substitution or the power rule for integration.

Answer 1

The Correct Option is B

Step 1: Solve the integral. The integral \( \int_1^4 \sqrt{t} \, dt \) can be solved by using the standard integral formula for powers of \( t \). The result of the integration is \( 4e^3 \).
Step 2: Conclusion. Thus, the value of the integral is \( 4e^3 \).