INTEGRATION

Authored by ABDUL AZIZ JAMALUDIN

Mathematics

10th Grade

Used 20+ times

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10 questions

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MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is an antiderivative?

The opposite of a derivative

The same as a derivative

A second derivative

It always represents velocity.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does C represent in an antiderivative?

A variable

A constant

None of these

Unknown

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int6x\left(x+2\right)dx$

$6x^2+12x+C$

$x^{2\ }-2x+C$

$3x^2+6x+C$

$2x^3+6x^2+C$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

$\frac{ax^{n+1}}{n+1}$

$\frac{ax^{n-1}}{n-1}+\ c$

$\frac{ax^{n+1}}{n}+\ c$

$\frac{ax^{n+1}}{n+1}+\ c$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find indefinite integral for $\int_{ }^{ }\frac{1}{e^{5x}}\ dx$

$\frac{1}{5}e^{5x}\ +\ c$

$-5e^{4x}\ +\ c$

$\frac{e^{-5x}}{-5}+\ c$

$\frac{e^{-4x}}{-4}+\ c$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

1200

1/12

1134

1076

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Another word for 'integral' is .. .

Constant

Derivative

Antiderivative

Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Approximate the area bounded by $f\left(x\right)=6x^2-3$ at the closed interval $\left[-0.4,0.4\right]$ .

-2.14

2.14

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a function is known to be $f\left(x\right)=\left(8x\right)^3$ , then the anti-derivative of that function is...

$2x$

$2x^4$

$8$

$x^3$

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INTEGRATION

What is an antiderivative?

What does C represent in an antiderivative?

∫6x(x+2)dx\int6x\left(x+2\right)dx∫6x(x+2)dx

If y = axnax^naxn , then ∫y dx =\int_{ }^{ }y\ dx\ =∫​y dx =

Find indefinite integral for ∫1e5x dx\int_{ }^{ }\frac{1}{e^{5x}}\ dx∫​e5x1​ dx

Find the area under a curve defined by the equation 5x4+3x+7 between the x values 0 and 4.

Another word for 'integral' is .. .

Approximate the area bounded by f(x)=6x2−3f\left(x\right)=6x^2-3f(x)=6x2−3 at the closed interval [−0.4,0.4]\left[-0.4,0.4\right][−0.4,0.4] .

what is the definition of a indefinite integral of algebraic function ? (a)

If a function is known to be f(x)=(8x)3f\left(x\right)=\left(8x\right)^3f(x)=(8x)3 , then the anti-derivative of that function is...

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$\int6x\left(x+2\right)dx$

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

Find indefinite integral for $\int_{ }^{ }\frac{1}{e^{5x}}\ dx$

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

Approximate the area bounded by $f\left(x\right)=6x^2-3$ at the closed interval $\left[-0.4,0.4\right]$ .

what is the definition of a indefinite integral of algebraic function ?

(a)

If a function is known to be $f\left(x\right)=\left(8x\right)^3$ , then the anti-derivative of that function is...