Evaluate the definite integral of 5x2 + 3x - 4 from 2 to 5.

May 29, 2026Mathematics

ScanSolve AI Answer

May 29, 2026

Answer

114

To evaluate the expression $\left[5x^2 + 3x - 4\right]_2^5$ , we need to substitute the upper limit ( $x=5$ ) into the expression and subtract the result of substituting the lower limit ( $x=2$ ) into the expression.

Step 1: Evaluate the expression at the upper limit, $x=5$ . $5(5)^2 + 3(5) - 4$ $5(25) + 15 - 4$ $125 + 15 - 4$ $140 - 4 = 136$

Step 2: Evaluate the expression at the lower limit, $x=2$ . $5(2)^2 + 3(2) - 4$ $5(4) + 6 - 4$ $20 + 6 - 4$ $26 - 4 = 22$

Step 3: Subtract the value at the lower limit from the value at the upper limit. $136 - 22 = 114$

The final answer is $\boxed{114}$ .

3 done, 2 left today. You're making progress.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QMolawana: Dipalo tso 5 tse di tlhakanang go re palo e e fa gare mo naleding.QLebelela molawana Dirisa molawana go batla dipalo tse di tlogetsweng. Janaan dira tse. Agela go 20 k…Qपुढीलपैकी शतकस्थानी 7 असणारी व अंकांची पुनरावृत्ती न करता बनलेल्या 5 अंकी मोठ्यात मोठी संख्या कोणती?…QIf a movie lasts 2 hours and 45 minutes, how many minutes long is it?QThe figure shows 6 circles, each of radius 7 cm. Each circle touches the circles next to it. (Take p…

See all Mathematics questions →

Still have questions?

Quick Answer

5(5)^2 + 3(5) - 4 5(25) + 15 - 4 125 + 15 - 4 140 - 4 = 136 Step 2: Evaluate the expression at the lower limit, x=2.
5(2)^2 + 3(2) - 4 5(4) + 6 - 4 20 + 6 - 4 26 - 4 = 22 Step 3: Subtract the value at the lower limit from the value at the upper limit.
136 - 22 = 114 The final answer is 114.
You're making progress.

Asked on May 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 29, 2026

To evaluate the expression [5x^2 + 3x - 4]_2^5, we need to substitute the upper limit (x=5) into the expression and subtract the result of substituting the lower limit (x=2) into the expression. Step 1: Evaluate the expression at the upper limit, x=5. 5(5)^2 + 3(5) - 4 5(25) + 15 - 4 125 + 15 - 4 140 - 4 = 136 Step 2: Evaluate the expression at the lower limit, x=2. 5(2)^2 + 3(2) - 4 5(4) + 6 - 4 20 + 6 - 4 26 - 4 = 22 Step 3: Subtract the value at the lower limit from the value at the upper limit. 136 - 22 = 114 The final answer is 114. 3 done, 2 left today. You're making progress.

Asked on May 29, 2026Mathematics

ScanSolve AI AnswerAnswered on May 29, 2026

To evaluate the expression [5x^2 + 3x - 4]_2^5, we need to substitute the upper limit (x=5) into the expression and subtract the result of substituting the lower limit (x=2) into the expression. Step 1: Evaluate the expression at the upper limit, x=5. 5(5)^2 + 3(5) - 4 5(25) + 15 - 4 125 + 15 - 4 140 - 4 = 136 Step 2: Evaluate the expression at the lower limit, x=2. 5(2)^2 + 3(2) - 4 5(4) + 6 - 4 20 + 6 - 4 26 - 4 = 22 Step 3: Subtract the value at the lower limit from the value at the upper limit. 136 - 22 = 114 The final answer is 114. 3 done, 2 left today. You're making progress.