Calculating some definite and indefinite integrals 1. Evaluate the following integrals (a) √ 3x²(x³ + 1)³ da (b) cost x sin² x dx (c) [3ae -2x dx (d) (e) 3x² + 4x + 4 x³ + x [³.2² J •π/12 dx sec¹ (3x) tan³ (3x) dx (1) D² *p³ Inp dp

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Calculating some definite and indefinite integrals
1. Evaluate the following integrals
(a) √ 3x²(x³ + 1)³ da
(b) cost x sin² x dx
(c) [3.re-2
dx
(d)
(e)
(f)
3x² + 4x + 4
x³ + x
[3.2²
J
T/12
dx
sec¹ (3x) tan³ (3x) dx
p³ lmp dp
Transcribed Image Text:Calculating some definite and indefinite integrals 1. Evaluate the following integrals (a) √ 3x²(x³ + 1)³ da (b) cost x sin² x dx (c) [3.re-2 dx (d) (e) (f) 3x² + 4x + 4 x³ + x [3.2² J T/12 dx sec¹ (3x) tan³ (3x) dx p³ lmp dp
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