"/2 sin³ x dx Evaluate the following integral:

Q: Evaluate the integral.  integral  2x sin  2 x x dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: evaluate the integral: integral of 8x*sin^2(x)dx

A:

Q: Evaluate the indefinite integral: ∫ sec2(4x + 9) dx

A: Given: ∫sec2(4x+9) dx

Q: Evaluate the integral.  integral sin 9  x cos 3x dx

A:

Q: Find the indefinite integral. ∫sec3x dx

A:

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: Find the indefinite integral using the substitution x = 4 sin θ.

A:

Q: Find the indefinite integral of (1+sinx/cos2x) dx

A: We have  I=∫1+sin xcos2x dxI=∫ dx+∫sin xcos2x dx   Substitute  cos x=t sin x dx=-dt

Q: Evaluate the indefinite integral.

A:

Q: sinh x dx 1

A: The integral ∫sinh-1x dx can be written as ∫sinh-1x·1 dx. Now use integration by parts to evaluate…

Q: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Evaluate the definite integral. 1. S(sin(2x) – cos(2x)) dx

A:

Q: Find the indefinite integral.

A: The indefinite integral ∫f(x)dx is the function F(x) such that F'(x)=f(x). The function F(x) is…

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Evaluate the indefinite integral given below. 2e3 sin (4z) cos (4x) dx Provide your answer below:…

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Q: Find the indefinite integral. ∫sec4x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 4x sin 3x dx

A: We know sin A·sin B=12cos(A-B)-cos(A+B) ∫cos ax dx=sin axa+C  where C is constant of integration.

Q: Evaluate the indefinite integral: ∫ x2 sin(x3 + 1) dx

A: ∫x2sinx3+1dx

Q: Evaluate the integral. 7 2ex sinh(x) + cosh(x) dx

A: To integrate ∫-772exsinh(x)+cosh(x)dx Apply the constant multiple rule: ∫cf(x)dx=c∫f(x)dx . Here c =…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 3x sin 2x dx

A:

Q: Use a table of integrals to evaluate the definite integral.

A: Given: I=∫0π2xsin2xdx for evaluating given integral, we use integral by parts theorem according to…

Q: Evaluate the indefinite integral given below. 12 sin (2x) dx V1– 4x2 -

A: Given Data The integral is ꭍ-12sin-1(2x) dx /√(1-4x²).   Let,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 5x sin 4x dx

A:

Q: Find the indefinite integral. ∫(x3 sin x)dx

A: Solution -  Given Integral -  y = ∫x3sinxdxIntegrating by parts, the formula is - ∫uvdx =…

Q: Find the indefinite integral. ∫( (xe2x)/ (2x + 1)2) dx

A: Given Integral, ∫xe2x(2x+1)2dx We use the integration by parts rule to solve this integration.…

Q: Find the integral of sin(8x)sin(x)dx

A: on doing integration

Q: Evaluate the definite integral. sec (x/4) dx 0.

A:

Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sin(76) sec (cos(7)) dt

A:

Q: Evaluate the indefinite integral given below. -5x* sin (4x – 7) dx

A:

Q: 1-sin 2x dx 2 x-sin x

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find the indefinite integral. ∫ (2 csc2 x − 9 sin x) dX

A: Consider the integrals, ∫2csc2x-9sinxdx

Q: 3/8 x sinx dx 5+x° 18

A: using the concept of even and odd function we calculate the above integral

Q: Find the general indefinite integral

A:

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

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Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: Suppose we were instead asked to calculate the integral x sin(x) dx. Can you calculate this integral…

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Q: Evaluate the integral. 10 3e -10 sinh(x) cosh(x) dx

A: We use Hyperbolic definitions of sinh(x) and cosh(x). Used that to simplify sinh(x)+cosh(x).

Q: sec dx Eanx

A: Given

Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

A:

Q: S sin(2x) dx

A:

Q: Evaluate the integral. ∫0 π/2 Sin5 x   dx

A: To evaluate the integral: ∫0π2sin5xdx Solution: Given integral can be written as:…

Q: Find the indefinite integral by using appropriate substitutions. (In(sin.x) dx tanx 1) (n(sin(x)))?…

A:

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

A:

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(6x) sin(cos(6x)) dx

A: In this question we have to evaluate the integral.