Evaluate if integral converge and determine antiderivative The problem is i need to study the conve

Llubanipo

Llubanipo

Answered question

2022-06-18

Evaluate if integral converge and determine antiderivative
The problem is i need to study the convergence of A and Band find the antiderivative of C
A = 0 sin ( x ) + x x + x 3 d x
B = 0 1 e x 1 ( x 2 + x 1 / 3 ) d x
C = 1 x 2 x 2 + x d x
in C i try substitution U = 2 x 2 + x

Answer & Explanation

klemmepk

klemmepk

Beginner2022-06-19Added 16 answers

Step 1
u = 1 x + 2
and then after that
X = 4 u 1
w = X + 1
Step 2
Answer: ln ( | x 2 x + 2 1 | ) ln ( x 2 x + 2 + 1 ) + 2 arctan ( x 2 x + 2 ) + C

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