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Calculate a primitive function using the table of usual antiderivatives

Calculate the primitive function of $\frac{1}{\sqrt{4-9x^2}}$ using the table of usual antiderivatives .

$\frac{3x}{2}$

$\frac{1}{3}\ \frac{3x}{2}$

$\frac{x}{6}$

Calculate the primitive function of $\sin5x$ using the table of usual antiderivatives.

$\frac{1}{5}\cos5x$

$\frac{1}{5}\sin5x$

$-\frac{1}{5}\cos5x$

Calculate the primitive function of $\frac{1}{\sqrt{4-x^2}}$ using the table of usual antiderivatives .

$\frac{x}{2}$

$\frac{1}{3}$

$\frac{x}{4}$

$\frac{x}{6}$

Calculate the primitive function of $\frac{1}{2+4x}$ using the table of usual antiderivatives .

$-\frac{1}{4}\ln\left|2+4x\right|$

$\frac{1}{3}\ln\left|2-3x\right|$

$\frac{1}{4}\ln\left|2+4x\right|$

Calculate the primitive function of $\frac{1}{2+x}$ using the table of usual antiderivatives. .

$-\frac{1}{4}\ln\left|2+4x\right|$

$\frac{1}{3}\ln\left|2-x\right|$

$\ln\left|2+x\right|$

Calculate the primitive function of $100\ e^{10x}$ using the table of usual antiderivatives.

$\frac{1}{4}e^{4x}$

$10e^{10x}$

$\frac{e^{10x}}{10}$

Calculate the primitive function of $x^9$ using the table of usual antiderivatives.

$\frac{1}{8}x^8$

$10x^{10x}$

$\frac{x^{10}}{10}$

Calculate the primitive function of $e^{10x}$ using the table of usual antiderivatives.

$\frac{1}{4}e^{4x}$

$10e^{10x}$

$\frac{e^{10x}}{10}$

Calculate the primitive function of $\frac{1}{2-3x}$ using the table of usual antiderivatives. .

$-\frac{1}{3}\ln\left|2+3x\right|$

$\frac{1}{3}\ln\left|2-3x\right|$

$-\frac{1}{3}\ln\left|2-3x\right|$

Calculate the primitive function of $\frac{1}{\sqrt{9-x^2}}$ using the table of usual antiderivatives .

$\frac{x}{2}$

$\frac{x}{3}$

$\frac{x}{6}$

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Calculate a primitive function using the table of usual antiderivatives

Calculate the primitive function of ﻿14−9x2\frac{1}{\sqrt{4-9x^2}}4−9x2​1​﻿ using the table of usual antiderivatives .

﻿3x2\frac{3x}{2}23x​﻿

﻿13 3x2\frac{1}{3}\ \frac{3x}{2}31​ 23x​﻿

﻿﻿x6\frac{x}{6}6x​﻿

Calculate the primitive function of ﻿sin⁡5x\sin5xsin5x﻿ using the table of usual antiderivatives.

﻿15cos⁡5x\frac{1}{5}\cos5x51​cos5x﻿

﻿15sin⁡5x\frac{1}{5}\sin5x51​sin5x﻿

﻿−15cos⁡5x-\frac{1}{5}\cos5x−51​cos5x﻿

Calculate the primitive function of ﻿14−x2\frac{1}{\sqrt{4-x^2}}4−x2​1​﻿ using the table of usual antiderivatives .

﻿x2\frac{x}{2}2x​﻿

﻿13\frac{1}{3}31​﻿

﻿x4\frac{x}{4}4x​﻿

﻿x6\frac{x}{6}6x​﻿

Calculate the primitive function of ﻿12+4x\frac{1}{2+4x}2+4x1​﻿ using the table of usual antiderivatives .

﻿−14ln⁡∣2+4x∣-\frac{1}{4}\ln\left|2+4x\right|−41​ln∣2+4x∣﻿

﻿13ln⁡∣2−3x∣\frac{1}{3}\ln\left|2-3x\right|31​ln∣2−3x∣﻿

﻿14ln⁡∣2+4x∣\frac{1}{4}\ln\left|2+4x\right|41​ln∣2+4x∣﻿

Calculate the primitive function of ﻿12+x\frac{1}{2+x}2+x1​﻿ using the table of usual antiderivatives. .

﻿−14ln⁡∣2+4x∣-\frac{1}{4}\ln\left|2+4x\right|−41​ln∣2+4x∣﻿

﻿13ln⁡∣2−x∣\frac{1}{3}\ln\left|2-x\right|31​ln∣2−x∣﻿

﻿ln⁡∣2+x∣\ln\left|2+x\right|ln∣2+x∣﻿

Calculate the primitive function of ﻿100 e10x100\ e^{10x}100 e10x﻿ using the table of usual antiderivatives.

﻿14e4x\frac{1}{4}e^{4x}41​e4x﻿

﻿10e10x10e^{10x}10e10x﻿

﻿e10x10\frac{e^{10x}}{10}10e10x​﻿

Calculate the primitive function of ﻿x9x^9x9﻿ using the table of usual antiderivatives.

﻿18x8\frac{1}{8}x^881​x8﻿

﻿10x10x10x^{10x}10x10x﻿

﻿x1010\frac{x^{10}}{10}10x10​﻿

Calculate the primitive function of ﻿e10xe^{10x}e10x﻿ using the table of usual antiderivatives.

﻿14e4x\frac{1}{4}e^{4x}41​e4x﻿

﻿10e10x10e^{10x}10e10x﻿

﻿e10x10\frac{e^{10x}}{10}10e10x​﻿

Calculate the primitive function of ﻿12−3x\frac{1}{2-3x}2−3x1​﻿ using the table of usual antiderivatives. .

﻿−13ln⁡∣2+3x∣-\frac{1}{3}\ln\left|2+3x\right|−31​ln∣2+3x∣﻿

﻿13ln⁡∣2−3x∣\frac{1}{3}\ln\left|2-3x\right|31​ln∣2−3x∣﻿

﻿−13ln⁡∣2−3x∣-\frac{1}{3}\ln\left|2-3x\right|−31​ln∣2−3x∣﻿

Calculate the primitive function of﻿19−x2\frac{1}{\sqrt{9-x^2}}9−x2​1​﻿ using the table of usual antiderivatives .

﻿x2\frac{x}{2}2x​﻿

﻿x3\frac{x}{3}3x​﻿

﻿x6\frac{x}{6}6x​﻿

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Calculate the primitive function of $\frac{1}{\sqrt{4-9x^2}}$ using the table of usual antiderivatives .

$\frac{3x}{2}$

$\frac{1}{3}\ \frac{3x}{2}$

$\frac{x}{6}$

Calculate the primitive function of $\sin5x$ using the table of usual antiderivatives.

$\frac{1}{5}\cos5x$

$\frac{1}{5}\sin5x$

$-\frac{1}{5}\cos5x$

Calculate the primitive function of $\frac{1}{\sqrt{4-x^2}}$ using the table of usual antiderivatives .

$\frac{x}{2}$

$\frac{1}{3}$

$\frac{x}{4}$

$\frac{x}{6}$

Calculate the primitive function of $\frac{1}{2+4x}$ using the table of usual antiderivatives .

$-\frac{1}{4}\ln\left|2+4x\right|$

$\frac{1}{3}\ln\left|2-3x\right|$

$\frac{1}{4}\ln\left|2+4x\right|$

Calculate the primitive function of $\frac{1}{2+x}$ using the table of usual antiderivatives. .

$-\frac{1}{4}\ln\left|2+4x\right|$

$\frac{1}{3}\ln\left|2-x\right|$

$\ln\left|2+x\right|$

Calculate the primitive function of $100\ e^{10x}$ using the table of usual antiderivatives.

$\frac{1}{4}e^{4x}$

$10e^{10x}$

$\frac{e^{10x}}{10}$

Calculate the primitive function of $x^9$ using the table of usual antiderivatives.

$\frac{1}{8}x^8$

$10x^{10x}$

$\frac{x^{10}}{10}$

Calculate the primitive function of $e^{10x}$ using the table of usual antiderivatives.

$\frac{1}{4}e^{4x}$

$10e^{10x}$

$\frac{e^{10x}}{10}$

Calculate the primitive function of $\frac{1}{2-3x}$ using the table of usual antiderivatives. .

$-\frac{1}{3}\ln\left|2+3x\right|$

$\frac{1}{3}\ln\left|2-3x\right|$

$-\frac{1}{3}\ln\left|2-3x\right|$

Calculate the primitive function of $\frac{1}{\sqrt{9-x^2}}$ using the table of usual antiderivatives .

$\frac{x}{2}$

$\frac{x}{3}$

$\frac{x}{6}$