Question $1$

$0/2$ pts

$3$

$97$

Details

Evaluate the definite integral by using the Fundamental Theorem of Calculus part II$.$

${\displaystyle \underset{3}{\overset{8}{}}}(2x+3)dx=$

$$

$38$

$$

Question $2$

$0/2$ pts

$3$

$97$

Details

Evaluate the definite integral by using the Fundamental Theorem of Calculus part II$.$

${\displaystyle \underset{4}{\overset{6}{}}}(9x^2-2x+3)dx=$

$$

$$

Question $3$

$\frac{0}{2}$ pts

$3$

$97$

Details

Evaluate the definite integral.

${\displaystyle \underset{-2}{\overset{1}{}}}(7x^4+4x)dx=$

$$Evaluate the definite integral by using the Fundamental Theorem of Calculus part II$.$

${\displaystyle \underset{-6}{\overset{3}{}}}{e}^{\frac{x}{8}}dx=$

$($If necessary, round to the nearest hundredth$)$

$$

Question $5$

$0/2$ pts

$398$

Details

Evaluate the definite integral by using the Fundamental Theorem of Calculus part II$.$

${\displaystyle \underset{1}{\overset{9}{}}}\frac{4x^2+6x}{\sqrt[\phantom{2}]{x}}dx=$

$$

$($If necessary, round to the nearest tenth$)$

$$

Question $6$

$0/2$ pts

$3$

$99$

Details

Evaluate the definite integral.

${\displaystyle \underset{1}{\overset{4}{}}}\frac{3x^2}{(x^3+9)}dx=$

$$Question $7$

$38$

Find the exact value of the definite integral.

${\displaystyle \underset{-1}{\overset{1}{}}}{x}^8(x^9+1{)}^{3}dx=$

$$

$\frac{0}{2}$ pts

$3$

$99$

$($

Question $8$

$\frac{0}{2}$ pts

$399$

Find the exact value of the definite integral.

${\displaystyle \underset{1}{\overset{2}{}}}\frac{4x^2}{(x^3+3{)}^2}dx=$

$$

Question Help:

Written Example$0/2$ pts

$3$

$99$

Details

Let $F(x)={\displaystyle \underset{9}{\overset{x}{}}}{t}^{7}dt$

then, by the Fundamental Theorem of Calculus part I, the derivative of $F$ is:

$38$

$F^{\text{'}}(x)=$

$$

$$

Question $10$

$0/2$ pts

$3$

$99$

Details

Use the Fundamental Theorem of Calculus, Part $1$ to evaluate:

$\frac{d}{dx}{\displaystyle \underset{-4}{\overset{x}{}}}\sqrt[\phantom{2}]{t^3}dt=$

$$

$$

Question $11$

$0/2$ pts

$3$

$99$

Details

Use part I of the Fundamental Theorem of Calculus part I to find the derivative of

$f(x)={\displaystyle \underset{x}{\overset{5}{}}}\frac{1}{1+t^5}dt$

$f^{\text{'}}(x)=$Use FTC part I to evaluate the following:

$\frac{d}{dx}{\displaystyle \underset{6}{\overset{8x}{}}}\sqrt[\phantom{2}]{t+1}dt=$

Question Help:

Written Example

$38$

Question $13$

$0/2$ pts

$3$

$99$

Det

Use the Fundamental Theorem of Calculus, Part $1,$ to evaluate:

$\frac{d}{dx}{\displaystyle \underset{4}{\overset{x^2}{}}}{t}^{4}dt=$

$$

$$

Question $14$

$0/2$ pts

$3$

$99$

Deta

Given $f(x)={\displaystyle \underset{9x}{\overset{ln(x)}{}}}{e}^{6t}dt$

Find the derivative of $f$

$f^{\text{'}}(x)=$

$$