6.2 integration by substitution in problems 1 through 8, find the indicated integral. Z (3x 1)2 dx 12. Z (2v5=4 +6v1=4 +3v 4)dv 10. ( 2 3)x x dx 2 23 8 5 6 4. Multiply by 2 in the second integral.
Z (3x 1)2 dx 12. Z x 1 x 2 dx 13. ( 2 3)x x dx 2 23 8 5 6 4. The 2 in the numerator of the second integral transforms into 1 + 1. Substituting u = x−1 and du = dx,youget z £ (x−1)5 +3(x−1) 2+5 ¤ dx = z (u5 +3u +5)du = = 1 6 u6 +u3 +5u+c = = 1 6 Dx x xx 1 5. The first integral is of logarithmic type and the second has to be broken in two. Multiply by 2 in the second integral.
0 = a + m.
Substituting u = x−1 and du = dx,youget z £ (x−1)5 +3(x−1) 2+5 ¤ dx = z (u5 +3u +5)du = = 1 6 u6 +u3 +5u+c = = 1 6 Z 8x 5 3 p x dx 16. Z 3 p u+ 1 p u du 8. When you have 50 tabs this will be a godsend excel is a very powerful program. 0 = a + n. Z (3x 1)2 dx 12. The flexcon piston decision this / children's book authors such as kate dicamillo and jeff kinney reveal th. Z x 1 x 2 dx 13. Integrals evaluate the following inde nite integrals: (5 8 5)x x dx2 2. ( 2 3)x x dx 2 23 8 5 6 4. 0 = a + m. R (x−1)5 +3(x−1)2 +5dx solution.
Equal the coefficients of the two members. Z (2v5=4 +6v1=4 +3v 4)dv 10. Children's book authors such as kate dicamillo and jeff kinney reveal th. When you have 50 tabs this will be a godsend excel is a very powerful program. Z 4 z7 7 z4 +z dz 7.
Z 4 z7 7 z4 +z dz 7. Z 8x 5 3 p x dx 16. Z (2v5=4 +6v1=4 +3v 4)dv 10. When you have 50 tabs this will be a godsend excel is a very powerful program. Multiply by 2 in the second integral. R (x−1)5 +3(x−1)2 +5dx solution. The 2 in the numerator of the second integral transforms into 1 + 1. Z (2t3 t2 +3t 7)dt 5.
The first integral is of logarithmic type and the second has to be broken in two.
0 = a + m. Z x 1 x 2 dx 13. R (x−1)5 +3(x−1)2 +5dx solution. Z 1 z3 3 z2 dz 6. Z 2x2 x+3 p x dx 17. Z (2v5=4 +6v1=4 +3v 4)dv 10. It's also a great way for. Substituting u =2x+6and 1 2 du = dx,youget z (2x+6)5dx = 1 2 z u5du = 1 12 u6 +c = 1 12 (2x+6)6 +c. Multiply by 2 in the second integral. Children's book authors such as kate dicamillo and jeff kinney reveal th. Z (p u3 1 2 u 2 +5)du 9. Z 3 p u+ 1 p u du 8. ( ) 3 x dx
Equal the coefficients of the two members. ( ) 3 x dx Children's book authors such as kate dicamillo and jeff kinney reveal th. 0 = a + m. Integrals evaluate the following inde nite integrals:
The 2 in the numerator of the second integral transforms into 1 + 1. Z 8x 5 3 p x dx 16. Z (p u3 1 2 u 2 +5)du 9. Substituting u = x−1 and du = dx,youget z £ (x−1)5 +3(x−1) 2+5 ¤ dx = z (u5 +3u +5)du = = 1 6 u6 +u3 +5u+c = = 1 6 0 = a + n. Multiply by 2 in the second integral. Z x 1 x 2 dx 13. Integrals evaluate the following inde nite integrals:
It's also a great way for.
Z (2t3 t2 +3t 7)dt 5. The 2 in the numerator of the second integral transforms into 1 + 1. Multiply by 2 in the second integral. Z 3 p u+ 1 p u du 8. Dx x xx 1 5. ( 6 9 4 3)x x x dx32 3 3. Z (p u3 1 2 u 2 +5)du 9. Substituting u =2x+6and 1 2 du = dx,youget z (2x+6)5dx = 1 2 z u5du = 1 12 u6 +c = 1 12 (2x+6)6 +c. Integrals evaluate the following inde nite integrals: The flexcon piston decision this / children's book authors such as kate dicamillo and jeff kinney reveal th. Equal the coefficients of the two members. Substituting u = x−1 and du = dx,youget z £ (x−1)5 +3(x−1) 2+5 ¤ dx = z (u5 +3u +5)du = = 1 6 u6 +u3 +5u+c = = 1 6 Z 4 z7 7 z4 +z dz 7.
Simple Integration Worksheet - 0 = a + m.. Z 3 p u+ 1 p u du 8. Z 1 z3 3 z2 dz 6. ( ) 3 x dx Substituting u =2x+6and 1 2 du = dx,youget z (2x+6)5dx = 1 2 z u5du = 1 12 u6 +c = 1 12 (2x+6)6 +c. Z 4 z7 7 z4 +z dz 7.
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