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Primitive functions of elementary functions

What is the primitive function of $\frac{1}{\sin x^2}$ .

Tan x

- Cot x

Sin x

What is the primitive function of $x^{-4}$

$-\frac{1}{3}x^{-3}$

$6x^{-2}$

$2x^{-3}$

What is the primitive function of $\frac{1}{\cos x^2}$ .

Tan x

- Cos x

Sin x

What is the primitive function of f(x) = e^x

$e^3$

$6x^2$

$e^x$

What is the primitive function of $\frac{1}{x}$

$x^2$

$\frac{1}{x}$

$\ln\left|x\right|$

What is the primitive function of Sin x.

Cos x

- Cos x

Tan x

What is the primitive function of $\frac{1}{x^2}$ .

$x^2$

$-\frac{1}{x}$

$\ln\left|x\right|$

What is the primitive function of Cos x.

Cos x

- Cos x

Sin x

What is the primitive function of $\frac{1}{1+x^2}$ .

arc tan x

- arc cot x

Sin x

What is the primitive function of $\frac{1}{\sqrt{1-x^2}}$ .

arc tan x

- arc cot x

arc sin x

Questions

Time

Score

Primitive functions of elementary functions

What is the primitive function of ﻿1sin⁡x2\frac{1}{\sin x^2}sinx21​﻿ .

Tan x

- Cot x

Sin x

What is the primitive function of ﻿x−4x^{-4}x−4﻿

﻿−13x−3-\frac{1}{3}x^{-3}−31​x−3﻿

﻿6x−26x^{-2}6x−2﻿

﻿2x−32x^{-3}2x−3﻿

What is the primitive function of ﻿1cos⁡x2\frac{1}{\cos x^2}cosx21​﻿ .

Tan x

- Cos x

Sin x

What is the primitive function of f(x) = ex

﻿e3e^3e3﻿

﻿6x26x^26x2﻿

﻿exe^xex﻿

What is the primitive function of ﻿1x\frac{1}{x}x1​﻿

﻿x2x^2x2﻿

﻿1x\frac{1}{x}x1​﻿

﻿ln⁡∣x∣\ln\left|x\right|ln∣x∣﻿

What is the primitive function of Sin x.

Cos x

- Cos x

Tan x

What is the primitive function of ﻿1x2\frac{1}{x^2}x21​﻿ .

﻿x2x^2x2﻿

﻿−1x-\frac{1}{x}−x1​﻿

﻿ln⁡∣x∣\ln\left|x\right|ln∣x∣﻿

What is the primitive function of Cos x.

Cos x

- Cos x

Sin x

What is the primitive function of ﻿11+x2\frac{1}{1+x^2}1+x21​﻿ .

arc tan x

- arc cot x

Sin x

What is the primitive function of ﻿11−x2\frac{1}{\sqrt{1-x^2}}1−x2​1​﻿ .

arc tan x

- arc cot x

arc sin x

Incorrect

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What is the primitive function of $\frac{1}{\sin x^2}$ .

What is the primitive function of $x^{-4}$

$-\frac{1}{3}x^{-3}$

$6x^{-2}$

$2x^{-3}$

What is the primitive function of $\frac{1}{\cos x^2}$ .

What is the primitive function of f(x) = e^x

$e^3$

$6x^2$

$e^x$

What is the primitive function of $\frac{1}{x}$

$x^2$

$\frac{1}{x}$

$\ln\left|x\right|$

What is the primitive function of $\frac{1}{x^2}$ .

$x^2$

$-\frac{1}{x}$

$\ln\left|x\right|$

What is the primitive function of $\frac{1}{1+x^2}$ .

What is the primitive function of $\frac{1}{\sqrt{1-x^2}}$ .