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Find the integral $\int\left(-121t^2+1\right)^2dt$

Step-by-step Solution

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Final Answer

$2928.2t^{5}-\frac{242}{3}t^{3}+t+C_0$
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Step-by-step Solution

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Rewrite the integrand $\left(-121t^2+1\right)^2$ in expanded form

$\int\left(14641t^{4}-242t^2+1\right)dt$

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$\int\left(14641t^{4}-242t^2+1\right)dt$

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Learn how to solve integral calculus problems step by step online. Find the integral int((-121t^2+1)^2)dt. Rewrite the integrand \left(-121t^2+1\right)^2 in expanded form. Expand the integral \int\left(14641t^{4}-242t^2+1\right)dt into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int14641t^{4}dt results in: 2928.2t^{5}. The integral \int-242t^2dt results in: -\frac{242}{3}t^{3}.

Final Answer

$2928.2t^{5}-\frac{242}{3}t^{3}+t+C_0$

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Function Plot

Plotting: $2928.2t^{5}-\frac{242}{3}t^{3}+t+C_0$

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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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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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