Evaluate the following integrals:∫ x3 sin x4 dx

Assume x4 = td(x4) = dt4x3dx = dtx3dx = Substituting t and dt⇒ ⇒ But t = x4⇒ .

Q34 of 865 Page 20

Evaluate the following integrals:
∫ x³ sin x⁴ dx

Assume x⁴ = t

d(x⁴) = dt

4x³dx = dt

x³dx =

Substituting t and dt

⇒

But t = x⁴

⇒ .

Evaluate the following integrals:

∫ cosec x log (cosec x – cot x) dx

Evaluate the following integrals:

∫ x³ cos x⁴ dx

Evaluate the following integrals:

∫ x³ sin (x⁴ + 1) dx