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Find the integral $\int\left(at+b\right)da$

Step-by-step Solution

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Final Answer

$\frac{1}{2}ta^2+ba+C_0$
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Step-by-step Solution

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Expand the integral $\int\left(at+b\right)da$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int atda+\int bda$

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$\int atda+\int bda$

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Learn how to solve problems step by step online. Find the integral int(at+b)da. Expand the integral \int\left(at+b\right)da into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int atda results in: \frac{1}{2}ta^2. The integral \int bda results in: ba. Gather the results of all integrals.

Final Answer

$\frac{1}{2}ta^2+ba+C_0$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve integral of (at+b)da using partial fractionsSolve integral of (at+b)da using basic integralsSolve integral of (at+b)da using u-substitutionSolve integral of (at+b)da using integration by partsSolve integral of (at+b)da using trigonometric substitution

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Plotting: $\frac{1}{2}ta^2+ba+C_0$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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