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

Question

ScanSolve AI Tutor · Accepted Answer

To evaluate the expression [5x² + 3x − 4]₂⁵, 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.

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

Answer

Step-by-step solution

Evaluate the expression at the upper limit, $x=5$ .

Evaluate the expression at the lower limit, $x=2$ .

Subtract the value at the lower limit from the value at the upper limit.

Try one yourself

Still stuck on this one?

More Mathematics Questions