15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: I) S dx/ (x² + 4x + 3) find integral

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: #31 You have an 8 x 5 foot piece of cardboard. You are going to make it into a box by first slicing…

A:

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

A:

Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

A:

Q: 1-S 1-sinx dx 1-sin?x -sin²x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: d 1+ sin² (2)| dz

A:

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

A:

Q: Integral of (5x3 + 1 - x4) dx

A: The given integration is: ∫5x3+1-x4dx

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p,…

A:

Q: a)  Use the hyperbolic identity sech^2(x)  = 1 - tanh^2(x)  to solve 4tanh^2 (x)  + sech^2(x)  =3…

A:

Q: sWSx+4dx5x+4)? Explain your answer. Choose the correct answer below, and, if necessary, fill in the…

A: Using formula of integration.

Q: Show that z- sinh z Rcs :* sinh z

A:

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: dr(sec'x) dx

A:

Q: cosx Show that J-3(x) = -. + sinx)

A:

Q: Evaluate the definite integral I^V₂ x² + 4x(x³ + 1) dx a) Find an anti-derivative •√√₂¹ +² b)…

A: