sin 4x/ cos 4x +1 dx

Q: Evaluate the indefinite integral.

A:

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

A:

Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: cos xdx x

A: The given integral is,∫xcosx dx. ∫xcosx dx=x∫cosx dx-∫ddx(x)cosx dx∫xcosx dx=xsinx-∫ddx(x)cosx…

Q: X sinx cosx dx

A: To Determine: find the integration  Given: we have ∫x cosx sinx dx Explanation: we have ∫x cosx sinx…

Q: Obtain a formula that expresses the integral ∫cosn x dx

A:

Q: Use the Fundamental Theorem to evaluate the definite integral exactly.   ∫83(x3−πx2)dx

A: Given:

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

A:

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

A:

Q: CO X dx V1 + sin² x

A: Given: I=∫cosx1+sin2xdx Use the substitution method to solve the given integral. Let, t=sinx Now,…

Q: Evaluate the definite integral 3 2 sin (2)dx using Part 1 of the Fundamental Theorem of Calculus. 57…

A:

Q: cos e 3 + 2 sin 0 + sin? 0 29. de

A:

Q: Ssin( /3x)cos(-2r)dx

A:

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

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: Evaluate the integral Je-3* cos2x dx

A: Given the integral ∫e-3xcos2xdxWe need to evaluate the integral.

Q: Evaluate the integral. cos /x

A: Given:          ∫cosx5x45dx Apply u-substitution: u=x5                dudt=15x455 du= 1x45dt…

Q: 18. Find three integrals in Exercises 39–74 that can be solvedby using a trigonometric substitution…

A:

Q: Obtain a formula that expresses the integral [cos". cos" x dx

A:

Q: Evaluate the integral ∫cos√θ/ √θ sin2 √θ dθ

A: We have to evaluate the integral: ∫cosθθ sin 2θdθ We know the trigonometric identity, sin 2A=2sin A…

Q: Evaluate the indefinite integral. | cos(8z) /4 – sin(8z) da = +C.

A: Let I is the value of given Integral

Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. 7/4 (8 sin(x) + 2 cos(2x))…

A: To evaluate the definite integral using fundamental theorem of calculus.

Q: (a) Evaluate the integral sin* 4x cos3 4x dx

A: a) Evaluate the integral                                 ∫0π8 sin4 4x cos3 4x dx  Let us substitute…

Q: Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

A:

Q: Evaluate the integral. / tan-(7x) dx +C AMOTI

A:

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Evaluate the indefinite integral. ∫cos(2x)(9−sin(2x))^(1/2)dx

A: Given:

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

A:

Q: Evaluate the definite integrals using the Fundamental Theoren 3. (a) (x+2)(x-2)dx (b) (4ex ) dx 1/4…

A:

Q: L (x − 3)(x + 2) dx – -2

A:

Q: Evaluate the integral: 2 x cos? (-1+ In 4x)

A:

Q: Evaluate the indefinite integral sin2 (7 - 2) de

A: Indefinite Integration

Q: Use the substitution formula to evaluate the integral. 27 3 cos2 x sin x dx 1/3

A: Given that: ∫π/32π3cos2x.sinxdx

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: In evaluating | *sin3(2x) cos(2x) dx by substitution, if U = sin( 2x ) then what will be the…

A: First we put sin(2x)=u and then differentiate both sides with respect to x and solve it. 2cos…

Q: Evaluate the integral. 2 sin -1 x dx

A:

Q: In Exercises 29-76, evaluate the indefinite integral.

A: we have to evaluate the integral  ∫(cotx)ln(sinx)dx            (1) let cotx=z⇒log(sinx)dx=dz

Q: Evaluate the integral: cos 2

A: Consider ∫01cos πt2 dt   Substitute x=πt2⇒dx=π2dt⇒dt=2πdx 0<t<1 ⇒  0<π2t<π2⇒0<x<π2…

Q: Use a computer algebra system  to find  integral sin 5 x cos 2 x   dx

A: To find the integral

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx