Please evaluate : 12* ∫ { [ cot (3X) ] ^4 } *{ [ csc (3X) ] ^2 } *dX as X varies from 0 radians to (π/12) radians
Evaluate the following: csc(x) cot(x) dx i) s 2-csc (x) ii) S x sin(4x) iii) 6. x sin(x2) dx iv) x x + 3y = 3
Choose the best answer: S. dx X V16-9x2 In|csc cot | + C 2 n|csce cot | +C 4 In|csc 8 – cotoſ +C 3 In|csc – cot 0 + c 4
7. Evaluate: ſ(4x° + 3x)dx. Give a numeric answer/ Simplify.
integrate. state du and u a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
Evaluate the following indefinite integrals. Show your work please! a) ∫ tan^3 4x dx b) ∫ sec^4 3x dx
4 Evaluate the definite integral 4x dx et
6. Evaluate Sc cot(x)dx + (x + ex)dy where C be the boundary of the finite region between y= 22 and y = 5 + 4x by using Green's Theorem.
Evaluate the integral. 5/6 6 csc 6 cot e de /6 5/6 s 6 csc ecot de x/6 (Type an exact answer, using radicals as needed.)
4 (4) Evaluate S 3x²(2x°-3) dx.