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Chapter 7 Integrals Ex 7.4 Solutions

Question - 1 : -

Answer - 1 : -

Let x3 = t

∴ 3x2 dx = dt

Question - 2 : -

Answer - 2 : -

Let 2x = t

∴ 2dx = dt

Question - 3 : -

Answer - 3 : -

Let 2 − x = t

⇒ −dx = dt

Question - 4 : -

Answer - 4 : -

Let 5x = t

∴ 5dx = dt

Question - 5 : -

Answer - 5 : -

Question - 6 : -

Answer - 6 : -

Let x3 = t

∴ 3x2 dx = dt

Question - 7 : -

Answer - 7 : -

From (1), we obtain

Question - 8 : -

Answer - 8 : -

Let x3 = t

⇒ 3x2 dx = dt

Question - 9 : -

Answer - 9 : -

Let tan x = t

∴ sec2x dx = dt

Question - 10 : -

Answer - 10 : -

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