Evaluate the integral using substitution. 1) cos (8x²) dx, X COS

Q: Using residues, evaluate the integral é 4x² cos 2x x4 + 16 dx

A: Using residues, we have to evaluate the integralintegrate

Q: Determine the exact value of ex e3x cos 2x dx

A:

Q: Integral of cos2 Ө Evaluate

A:

Q: cos x 4. Compute the integral 1+(sin x)? Hint: u-substitution

A: the given expression is: ∫0π2cosx1+sinx2dx let the given integral be I. therefore,…

Q: Evaluate sin(9æ)cos(3x)dæ.

A:

Q: Evaluate the integral.  integral sin 6  x  dx

A: Given ∫sin6x dx We use sin2x=1-cos2x2cos2x=1+cos2x2

Q: c) Evaluate Ssin 3xcos 4x dx by using integration by part.

A: Given integral is: I=∫sin3xcos4xdx Simplifying it:…

Q: Evaluate the integral -dx sinx-cosx

A: