Quiz about Functions Defined by Integrals

Question 1

What is an antiderivative of $$2x+1$$

Accepted Answer

$$x^2+x$$

Answer

$$x^2+1$$

Answer

$$2x+1$$

Answer

$$2$$

Question 2

Given that $$g\left(x\right)=\int_2^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$g\left(8\right)$$ ?

Accepted Answer

9

Answer

18

Answer

0

Answer

$$-\frac{1}{2}$$

Question 3

Given that $$g\left(x\right)=\int_2^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$g\left(0\right)$$ ?

Accepted Answer

-7

Answer

6

Answer

7

Answer

-6

Question 4

Given that $$g\left(x\right)=\int_2^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$g$$ ?

Accepted Answer

2

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

5

Question 5

Given that $$g\left(x\right)=\int_2^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$g$$ ?

Accepted Answer

1

Answer

3

Answer

$$-10.5$$

Answer

$$-3$$

Question 6

Given that $$h\left(x\right)=\int_4^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$h\left(2\right)$$ ?

Accepted Answer

$$-1$$

Answer

$$1$$

Answer

$$0$$

Answer

$$\frac{1}{2}$$

Question 7

Given that $$h\left(x\right)=\int_4^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$h$$ ?

Accepted Answer

$$-3$$

Answer

$$3.5$$

Answer

$$1$$

Answer

$$-3.5$$

Question 8

Given that $$h\left(x\right)=\int_4^{\ x}\ f\left(t\right)\ dt$$ , what is the value of $$h$$ ?

Accepted Answer

$$\frac{1}{2}$$

Answer

$$1$$

Answer

$$0$$

Answer

$$-1$$

Question 9

Given that $$g\left(x\right)=\int_1^x\left(3t^2\right)dt$$ , evaluate $$g\left(2\right)$$ .

Accepted Answer

$$7$$

Answer

$$12$$

Answer

$$8$$

Answer

$$1$$

Question 10

Given that $$g\left(x\right)=\int_1^x\left(5t+2\right)dt$$ , evaluate $$g$$ .

Accepted Answer

$$12$$

Answer

$$7$$

Answer

$$5$$

Answer

$$9.5$$

Question 11

Given that $$g\left(x\right)=\int_2^x\left(t^3+1\right)dt$$ , evaluate $$g$$ .

Accepted Answer

$$12$$

Answer

$$9$$

Answer

$$0$$

Answer

$$8$$

Question 12

Given that $$g\left(x\right)=\int_0^x\left(4t\right)dt$$ , evaluate $$g\left(3\right)$$ .

Accepted Answer

$$18$$

Answer

$$12$$

Answer

$$4$$

Answer

$$8$$

Question 13

Given that $$g\left(x\right)=\int_0^x\left(4t\right)dt$$ , evaluate $$g$$ .

Accepted Answer

$$12$$

Answer

$$18$$

Answer

$$4$$

Answer

$$8$$

Question 14

Given that $$g\left(x\right)=\int_0^x\left(t^2+t\right)dt$$ , evaluate $$g$$ .

Accepted Answer

$$7$$

Answer

$$12$$

Answer

$$4$$

Answer

$$13.5$$

Functions Defined by Integrals

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