(P3T7Q2) Area between curves [CLASS//QUIZIZZ]

(P3T7Q2) Area between curves [CLASS//QUIZIZZ]

Multi-step

Drag and Drop

STEP 1:

How do you set up the integral?

​

Placeholder

Drag these tiles and drop them in the correct blank above

Math Response

$$\left(8x+6\right)-\left(x-x^2\right)$$

STEP 2:

Simplify the expresion inside the integral before integrate.

Type answer here

Correct Answer: x^2+7x+6

Deg^°

Rad

Math Response

$$\int_{ }\left(x^2+7x+6\right)dx$$

STEP 3:

Calculate the antiderivative.

(do not right down the +C)

Type answer here

Correct Answer: \frac{x3}{3}+7\frac{x2}{2}+6x

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}+7\frac{x^2}{2}+6x\right]_{-6}^{-1}$$

STEP 4:

Evaluate in the upper limit.

(write down 3 decimals without rounding)

Type answer here

Correct Answer: -2.833

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}+7\frac{x^2}{2}+6x\right]_{-6}^{-1}$$

STEP 5:

Evaluate in the lower limit.

(write down 3 decimals without rounding)

Type answer here

Correct Answer: 18

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}+7\frac{x^2}{2}+6x\right]_{-6}^{-1}$$

STEP 6:

Subtract the lower evaluation from the upper evaluation.

(write down 3 decimals without rounding)

Type answer here

Correct Answer: -20.833

Deg^°

Rad

Multiple Choice

If you get a negative number that's because of how you ordered the functions in the integral.

Nothing to worry though because the actual answer would be the same number but positive.

• TRUE

• FALSE

Math Response

STEP 7:

FINAL ANSWER

So the area of the region

between the graphs is...

(write down 3 decimals without rounding)

Type answer here

Correct Answer: 20.833

Deg^°

Rad

Single answer

Math Response

$$\int_{-6}^{-2}\left(\frac{4}{x}\right)-\left(5\right)dx$$ =___?

(do not round up intermediate computations, write down the answer with 3 decimals without rounding)

Type answer here

Correct Answer: 24.394

Deg^°

Rad

Multi-step

Multiple Choice

STEP 1:

To get the integration limits you...

• Equal the funtions and solve the eqution.

• Take the square root of both funtions and make them equal.

• Calculate the roots of the functions separately and then make them equal.

• Dry your tears and start praying.

Multiple Select

$$x^2+2x=2x+1$$

STEP 2:

Choose the solutions for the equation.

(two solutions)

• 1

• -1

• 4

• -4

Drag and Drop

STEP 3:

How do you set up the integral?

​

Placeholder

Drag these tiles and drop them in the correct blank above

Math Response

$$\left(x^2+2x\right)-\left(2x+1\right)$$

STEP 4:

Simplify the expresion inside the integral before integrate.

Type answer here

Correct Answer: x^2-1

Deg^°

Rad

Math Response

$$\int_{ }\left(x^2-1\right)dx$$

STEP 5:

Calculate the antiderivative.

(do not right down the +C)

Type answer here

Correct Answer: \frac{x3}{3}-x

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}-x\right]_{-1}^1$$

STEP 6:

Evaluate in the upper limit.

(write down 3 decimals without rounding)

Type answer here

Correct Answer: -0.666

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}-x\right]_{-1}^1$$

STEP 7:

Evaluate in the lower limit.

(write down 3 decimals without rounding)

Type answer here

Correct Answer: 0.666

Deg^°

Rad

Math Response

$$\left[\frac{x^3}{3}+7\frac{x^2}{2}+6x\right]_{-6}^{-1}$$

STEP 8:

FINAL ANSWER

Subtract the lower evaluation from the upper evaluation.

(write down 3 decimals without rounding)

Remember what happens if you get a negative number!!

Type answer here

Correct Answer: 1.332

Deg^°

Rad

Single answer

Math Response

$$\int_?^?\left(\sqrt[]{x+7}\right)-\left(0.5\left(x+7\right)\right)dx$$ =___?

(do not round up intermediate computations, write down the answer with 3 decimals without rounding)

Type answer here

Correct Answer: 1.713

Deg^°

Rad