Find the indefinite integral. sec 3x tan 3x dx

Q: Find the indefinite integral ∫sin5 x dx

A:

Q: Evaluate the integral (exact value). e2X sin(8x) dx =

A: We have to find the integral.

Q: Find the indefinite integral ∫sin2xcos 2x dx

A:

Q: Evaluate the definite integral

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Q: Evaluate the integral. (6ex + 7 sin x)dx

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Q: Evaluate the integral sin^3(2x) dx.

A:

Q: find the integral of tan5x dx

A: We want to evaluate the following integral,

Q: 품 tan (2x) sec² (2x)dr

A:

Q: Find the indefinite integral. x cos 8Tx? dx

A: we have to find in definite integration∫xcos8πx2dx

Q: Evaluate the integral. 14 sin?(x) cos³(x) dx

A:

Q: Evaluate the definite integral. 3x + 16 dx Jo

A: given=∫033x+16dxintegrating=[(3x+16)12+1]033(12+1)

Q: Find the indefinite integral ∫tan3 3x dx

A:

Q: Find the indefinite integral. ∫(sec 2x + tan 2x) dx

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Q: Evaluate the integral. | sin (6x) dx

A: Simplify by substituting it in something suitable to the integral.

Q: Evaluate the integral. (5ex + 5 sin(x))dx

A:

Q: Evaluate the integrals.∫cos x/sin7/4 x dx

A: The given integral is ∫cosxsin74xdx

Q: cos xdx sin x

A:

Q: Find the indefinite integral ∫ sin x /(7 + cos2x) dx

A: To Evaluate: Integral ∫sin x7+cos2xdx                                                   (1)

Q: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: 2. Use reduction formula to evaluate the integral: sin xdx.

A: We have to evaluate integral by using reduction formula.

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

A:

Q: Evaluate the integral (exact value). 5n +1 eX sin(5x) dx = 2

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Q: 15 – 5 sin (z) ) dz

A: To solve the given indefinite  integral.

Q: Evaluate the integrals

A: The given integral is ∫0πsin25rdr formula used: cos2t=1-2sin2t⇒sin2t=1-cos2t2

Q: Evaluate the integrals

A: Given:∫0π6 1+sinx dx

Q: Evaluate the integral.  integral sin 6  x  dx

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

Q: sin(34x) dx 1 + cos-(34x)

A:

Q: Evaluate the indefinite integral. sin°(13x) cos“(13x)dx

A:

Q: Find the indefinite integral ∫sin 4x dx

A: We know that,  ∫sintdt=-cost+C           ⋯⋯1 We have the given integral as I=∫sin4xdx

Q: 5X + 10 + sin 4x) dx

A: To Determine: evaluate the integral      Given: we have given an integral

Q: 18 sin a dx

A:

Q: 2. sin xcos³xdx

A:

Q: Evaluate the integrals -dp- 5. / sin? cos x

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

Q: sin 2x dx .2. 1 + cos?x

A: Given, ∫sin2x1+cos2xdx   We have to evaluate the indefinite integral

Q: * sin'x de 4.

A:

Q: 1 dx sin°(2x)

A: Solution:Given∫1sin6 2xdxFormula;d uv=vu'-uv'v2sin2x+cos2x=1∫xn dx =xn+1n+1

Q: Evaluate the integral. sin °(6x) dx

A:

Q: Evaluate the definite integral. 1+ 7x dx Jo

A:

Q: Find the indefinite integral ∫sinx / cos3x dx

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Q: Evaluate the indefinite integral. 5e5z sin(e") dr

A: Given,  ∫  5e5x sine5xdx

Q: Evaluate the integral ax sin bx dx

A:

Q: Evaluate the integral. (9ex + 6 sin x)dx

A:

Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: | Evaluate the definite integral: 4+ 5x? dx

A:

Q: evaluate the integral.

A:

Q: Evaluate the integral sinh? (2x)cosh (2x) cx .

A: Let's find.

Q: Evaluate the integral.  integral sin 9  x  dx

A: Given ∫sin9xdx

Q: Evaluate the integrals ∫2 sinh (sin θ) cos θ dθ

A: Our Aim is to evaluate the integral given below:-I=∫2 sinh (sin θ) (cos θ) dθ -(i)

Q: Evaluate the integral. (8ex + 7 sin(x))dx

A: The given integration is: ∫0π8ex+7sinxdx To evaluate the given integral.