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Answer the following:
PHYSICS · Multi-part · ISC · Physics · Kinematics · Kinematic equations
Problem
Answer the following: (i) Evaluate
∫
(
3
x
2
−
2
)
e
x
3
−
2
x
d
x
\displaystyle\int (3x^{2}-2)\,e^{x^{3}-2x}\,dx
∫
(
3
x
2
−
2
)
e
x
3
−
2
x
d
x
. (ii) Hence, determine
∫
0
1
(
3
x
2
−
2
)
e
x
3
−
2
x
d
x
\displaystyle\int_{0}^{1} (3x^{2}-2)\,e^{x^{3}-2x}\,dx
∫
0
1
(
3
x
2
−
2
)
e
x
3
−
2
x
d
x
.
Related theory
Variable Forces & Graphical Methods
Kinematic Equations
Motion in a straight line
Acceleration
Velocity and comparison with speed
Uniform and non-uniform motion
Instantaneous speed and velocity
Distance and displacement
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