Step 3 Use the Constant Multiple Rule. | sinh(4 – 7x)dx = | sinh u(-)du sinh u • du Step 4 Evaluate the integral in terms of u. sinh u • du = - cosh(u) |cosh (u) + C Step 5 Substitute for the value of u in the above integral. sinh(4 – 7x)dx = - cosh u + C - cosh(4 - 7x V 77) + C Step 6 Hence, the integral sinh(4 – 7x)dx =

Q: 1 dx r+x ln (x)

A:

Q: integral x2 / sqrt(16-x2) dx using trig substitution

A: We have to solve the integral x^2/sqrt (16-x^2) dx by trigonometric substitution . Please see the…

Q: Find or evaluate the integral. /sec² sec² (4x) dx

A: Let,the given integral is

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: cln3 Sng tanh(x) sech³(x) dx JIn2

A: To find: ∫ln2ln3tanhxsech3xdx

Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

A:

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

A:

Q: cosh(Int) dt Select one: a. sinht + c b. sinh(Int) + c c. \(-sinht+c\) d. \(-sinh(Int)+c\)

A:

Q: Integrals using substitution 1. dx/x√9x2-1 a. sec(3x)+C b. -sec(3x)+C c. -sec-1(3x)+C d.…

A: I am attaching image so that you understand each and every step.

Q: Q1- Prove that coth x = 2 csch 2x + tanh x %3D

A:

Q: Scotx dx sin 2x cos' 2x dx g. i

A: To evaluate the given integrals by substitution method.

Q: 4x³ (1 - 4x²) 1²/1 2 S- -dx

A:

Q: Integral sin( +6)dt

A:

Q: 2x

A:

Q: Integration of b/1-sinbx dx

A:

Q: sinh (u+v)=sinhycoshr+ coshuxsinhv

A: Use hyperbolic function

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: 1+ axdx

A:

Q: antiderivate of y = sin x + 6x2

A:

Q: integration (x2 / (9 - x2)1/2) dx

A:

Q: Antiderivative (cosx)dx/(1 + sinx)^2

A:

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: Integration by parts

A: Given integral

Q: Integral of dx/sinx+tanx

A:

Q: sinx Evaluate the integral dx 1-cOsx using Karl Weierstrass substitution.

A: We need to evaluate the given integral using Karl Weierstrass substitution.

Q: Evaluate the integral sec(theta)/sec(theta)-tan(theta) d(theta) A. sec2(theta) - tan(theta) + C B.…

A:

Q: sinh x 1 + cosh x dx

A: