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(1²+x²+2x)(1³+x³+2x+2x²) |
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Answer» ANSWER∫ x 3 2x 4 −2x 2 +1 x 2 −1 dx⇒ ∫ x 5 x 3 2x 4 −2x 2 +1 x 5 x 2 −1 dx⇒ ∫ x 2 2x 4 −2x 2 +1 x 3 1 − x 5 1 dx⇒ ∫ 2− x 2 2 + x 4 1 x 3 1 − x 5 1 dxLet 2− x 2 2 + x 4 1 =t(0+ x 3 4 − x 5 4 )dx=dt( x 3 1 − x 5 1 )= 4dt Now, substituting above value,⇒ ∫ 4 t dt ⇒ 41 ∫t 2−1 dt⇒ 41 2−1 +1T 2−1 +1 +c⇒ 41 21 t 21 +c⇒ 2t +c⇒ 22− x 2 2 + x 4 1 +c⇒ 2x 2 2x 4 −2x 2 +1 |
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