Find the integral- 4e3x-1dx

Name: NCERT - Grade 12 - Mathematics - Application of Derivatives - Q10
Uploaded: 2022-07-04T10:36:42+05:30
Description: ∫ (4e^3x+1)dx =∫(4e^3x+1)dx =4∫ e^3xdx+∫ dx =4e^3x3+x+C Where C is constant of integration ...

∫ (4e^3x+1)dx =∫(4e^3x+1)dx =4∫ e^3xdx+∫ dx =4e^3x3+x+C Where C is constant of integration ...

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Byju's Answer

Standard XII

Mathematics

Property 2

Find the inte...

Question

Find the integral:
$\int (4 e^{3 x} + 1) d x$

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Solution

$\int (4 e^{3 x} + 1) d x$
$= \int (4 e^{3 x} + 1) d x$
$= 4 \int e^{3 x} d x + \int d x$
$= \frac{4 e^{3 x}}{3} + x + C$

Where $C$ is constant of integration

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Property 2

Standard XII Mathematics

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Find the integral: ∫(4e3x+1)dx

∫(4e3x+1)dx =∫(4e3x+1)dx =4∫e3xdx+∫dx =4e3x3+x+C Where C is constant of integration

Find the integral:
$\int (4 e^{3 x} + 1) d x$

$\int (4 e^{3 x} + 1) d x$
$= \int (4 e^{3 x} + 1) d x$
$= 4 \int e^{3 x} d x + \int d x$
$= \frac{4 e^{3 x}}{3} + x + C$

Where $C$ is constant of integration